0.00/0.00 % Leo-III: Strategy 1 (for '60') 130.72/30.18 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 130.72/30.18 % [INFO] Parsing done (260ms). 130.72/30.18 % [INFO] Running in sequential loop mode. 130.72/30.18 % [CONFIG] Using configuration: timeout(60) with strategy 130.72/30.18 % [INFO] eprover registered as external prover. 130.72/30.18 % [INFO] cvc4 registered as external prover. 130.72/30.18 % [INFO] Parsing finished. Scanning for conjecture ... 130.72/30.18 % [INFO] Found a conjecture and 357 axioms. Running axiom selection ... 130.72/30.18 % [INFO] Axiom selection finished. Selected 94 axioms (removed 263 axioms). 130.72/30.18 % [INFO] Problem is higher-order (TPTP THF). 130.72/30.18 % [INFO] Type checking passed. Searching for refutation ... 130.72/30.18 % External prover 'e' found a proof! 130.72/30.18 % [INFO] Killing All external provers ... 130.72/30.18 % Time passed: 23686ms (effective reasoning time: 23078ms) 130.72/30.18 % Solved by strategy 130.72/30.18 % Axioms used in derivation (94): fact_274_case__prodD, fact_129_curry__conv, fact_267_case__prodI2, fact_306_case__prod__map__prod, fact_198_curry__K, fact_174_case__swap, fact_65_old_Oprod_Oinject, fact_144_eval_Osimps_I6_J, fact_314_The__split__eq, fact_208_prod_Ocase__distrib, fact_29_double__negation, fact_86_surj__pair, fact_1_assms, fact_9_eval_Osimps_I1_J, fact_22_fm_Odistinct_I15_J, fact_119_internal__case__prod__conv, fact_110_old_Oprod_Oexhaust, fact_265_case__prodI, fact_20_fm_Odistinct_I21_J, fact_27_fm_Odistinct_I3_J, fact_186_case__prod__eta, fact_117_old_Oprod_Oinducts, fact_6_eval__equality__simplify, fact_7_eval__negation, fact_99_Pair__inject, fact_272_case__prod__Pair__iden, fact_180_cond__case__prod__eta, fact_92_prod__cases, fact_153_case__prod__conv, fact_192_case__prodE2, fact_301_map__prod__simp, fact_85_surj__pair, fact_10_tv_Odistinct_I1_J, help_If_1_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T, fact_77_bool_Osplit__sel, fact_118_old_Oprod_Oinducts, fact_242_case__bool__if, fact_36_eval_Ocases, fact_215_tv_Ocase__distrib, help_If_2_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T, fact_32_fm_Oinduct, fact_21_fm_Odistinct_I19_J, fact_35_eval__equality, fact_37_fm_Odistinct_I17_J, fact_26_fm_Odistinct_I5_J, fact_24_fm_Odistinct_I11_J, fact_28_fm_Odistinct_I1_J, fact_78_old_Obool_Osimps_I3_J, fact_58_fm_Odistinct_I9_J, fact_76_bool_Ocase__eq__if, fact_143_swap__simp, fact_19_fm_Odistinct_I25_J, help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T, fact_3_eval_Osimps_I2_J, fact_59_fm_Odistinct_I27_J, fact_15_fm_Oinject_I4_J, fact_18_tv_Osimps_I6_J, fact_34_eval_Osimps_I3_J, fact_93_prod__cases, fact_75_bool_Ocase__distrib, fact_30_string__tv_Oinduct, fact_73_prod_Oinject, fact_57_fm_Odistinct_I29_J, fact_33_fm_Oexhaust, fact_11_tv_Oinduct, fact_111_old_Oprod_Oexhaust, fact_5_eval_Osimps_I5_J, fact_276_case__prodE, fact_0_tv_Oinject_I1_J, fact_12_tv_Oexhaust, fact_145_swap__swap, fact_2_valid__def, fact_66_old_Oprod_Oinject, fact_23_fm_Odistinct_I13_J, fact_167_curry__case__prod, fact_4_eval_Osimps_I4_J, fact_8_tv_Osimps_I5_J, fact_17_fm_Oinject_I3_J, fact_214_internal__case__prod__def, fact_160_case__prod__curry, fact_100_Pair__inject, fact_241_split__cong, fact_16_fm_Oinject_I1_J, fact_195_curry__def, fact_74_bool_Osplit__sel__asm, fact_72_prod_Oinject, fact_79_old_Obool_Osimps_I4_J, fact_13_fm_Oinject_I2_J, fact_55_fm_Oinject_I5_J, fact_25_fm_Odistinct_I7_J, fact_221_old_Oprod_Ocase, fact_31_string__tv_Ocases, fact_14_tv_Oinject_I2_J, fact_56_fm_Odistinct_I23_J 130.72/30.18 % No. of inferences in proof: 451 130.72/30.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 23686 ms resp. 23078 ms w/o parsing 130.72/30.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 130.72/30.18 thf(set_Pr1475944804lle_fm_type, type, set_Pr1475944804lle_fm: $tType). 130.72/30.18 thf(produc1250255278lle_fm_type, type, produc1250255278lle_fm: $tType). 130.72/30.18 thf(set_Pr2012908090lle_tv_type, type, set_Pr2012908090lle_tv: $tType). 130.72/30.18 thf(produc484385668lle_tv_type, type, produc484385668lle_tv: $tType). 130.72/30.18 thf(set_Pr2061825550lle_tv_type, type, set_Pr2061825550lle_tv: $tType). 130.72/30.18 thf(produc1852595672lle_tv_type, type, produc1852595672lle_tv: $tType). 130.72/30.18 thf(set_Pr1723822845lle_tv_type, type, set_Pr1723822845lle_tv: $tType). 130.72/30.18 thf(set_Pr2120184979lle_fm_type, type, set_Pr2120184979lle_fm: $tType). 130.72/30.18 thf(produc1443694919lle_tv_type, type, produc1443694919lle_tv: $tType). 130.72/30.18 thf(produc696645085lle_fm_type, type, produc696645085lle_fm: $tType). 130.72/30.18 thf(set_Pr38785645e_tv_o_type, type, set_Pr38785645e_tv_o: $tType). 130.72/30.18 thf(set_Pr2014382200lle_tv_type, type, set_Pr2014382200lle_tv: $tType). 130.72/30.18 thf(set_Pr1019238018lle_fm_type, type, set_Pr1019238018lle_fm: $tType). 130.72/30.18 thf(produc1647334210lle_tv_type, type, produc1647334210lle_tv: $tType). 130.72/30.18 thf(produc450659916lle_fm_type, type, produc450659916lle_fm: $tType). 130.72/30.18 thf(set_li72793489lle_tv_type, type, set_li72793489lle_tv: $tType). 130.72/30.18 thf(set_Pa1764573435lle_tv_type, type, set_Pa1764573435lle_tv: $tType). 130.72/30.18 thf(set_Pa1499417344lle_fm_type, type, set_Pa1499417344lle_fm: $tType). 130.72/30.18 thf(paraco1605129243lle_tv_type, type, paraco1605129243lle_tv: $tType). 130.72/30.18 thf(paraco1604210848lle_fm_type, type, paraco1604210848lle_fm: $tType). 130.72/30.18 thf(list_char_type, type, list_char: $tType). 130.72/30.18 thf(set_o_type, type, set_o: $tType). 130.72/30.18 thf(nat_type, type, nat: $tType). 130.72/30.18 thf(the_Pr304385787lle_tv_type, type, the_Pr304385787lle_tv: ((produc1647334210lle_tv > $o) > produc1647334210lle_tv)). 130.72/30.18 thf(if_Par1134130401lle_tv_type, type, if_Par1134130401lle_tv: ($o > (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)))). 130.72/30.18 thf(paraco1325918602e_eval_type, type, paraco1325918602e_eval: ((list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1605129243lle_tv))). 130.72/30.18 thf(paraco69239110le_Con_type, type, paraco69239110le_Con: (paraco1604210848lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm))). 130.72/30.18 thf(paraco1389086619le_Eql_type, type, paraco1389086619le_Eql: (paraco1604210848lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm))). 130.72/30.18 thf(paraco1745535428le_Eql_type, type, paraco1745535428le_Eql: (paraco1604210848lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm))). 130.72/30.18 thf(paraco445776468le_Neg_type, type, paraco445776468le_Neg: (paraco1604210848lle_fm > paraco1604210848lle_fm)). 130.72/30.18 thf(paraco1480028776le_Pro_type, type, paraco1480028776le_Pro: (list_char > paraco1604210848lle_fm)). 130.72/30.18 thf(paraco367965286_Truth_type, type, paraco367965286_Truth: paraco1604210848lle_fm). 130.72/30.18 thf(paraco1344940915le_Det_type, type, paraco1344940915le_Det: ($o > paraco1605129243lle_tv)). 130.72/30.18 thf(paraco793048302_Indet_type, type, paraco793048302_Indet: (nat > paraco1605129243lle_tv)). 130.72/30.18 thf(paraco2051596139lle_tv_type, type, paraco2051596139lle_tv: (($o > paraco1605129243lle_tv) > ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv)))). 130.72/30.18 thf(paraco327635598_valid_type, type, paraco327635598_valid: (paraco1604210848lle_fm > $o)). 130.72/30.18 thf(produc1710735575lle_fm_type, type, produc1710735575lle_fm: ((list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > produc696645085lle_fm))). 130.72/30.18 thf(produc2058540732lle_tv_type, type, produc2058540732lle_tv: (paraco1605129243lle_tv > (paraco1605129243lle_tv > produc1647334210lle_tv))). 130.72/30.18 thf(produc234482697lle_tv_type, type, produc234482697lle_tv: (paraco1605129243lle_tv > (paraco1605129243lle_tv > ($o > paraco1605129243lle_tv)))). 130.72/30.18 thf(produc724036226lle_tv_type, type, produc724036226lle_tv: ((produc1647334210lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)))). 130.72/30.18 thf(produc192124683lle_tv_type, type, produc192124683lle_tv: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)) > (produc1647334210lle_tv > paraco1605129243lle_tv))). 130.72/30.18 thf(produc1345917071lle_tv_type, type, produc1345917071lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (produc1647334210lle_tv > produc1647334210lle_tv)))). 130.72/30.18 thf(produc852673135e_tv_o_type, type, produc852673135e_tv_o: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)) > (produc1647334210lle_tv > $o))). 130.72/30.18 thf(produc1882560353lle_tv_type, type, produc1882560353lle_tv: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)) > (produc1647334210lle_tv > paraco1605129243lle_tv))). 130.72/30.18 thf(produc942307752lle_tv_type, type, produc942307752lle_tv: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > produc1647334210lle_tv)) > (produc1647334210lle_tv > produc1647334210lle_tv))). 130.72/30.18 thf(produc211755292lle_tv_type, type, produc211755292lle_tv: (produc1647334210lle_tv > produc1647334210lle_tv)). 130.72/30.18 thf(p_type, type, p: paraco1604210848lle_fm). 130.72/30.18 thf(sk1_type, type, sk1: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)) > (produc1647334210lle_tv > paraco1605129243lle_tv))). 130.72/30.18 thf(sk2_type, type, sk2: ((paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)) > (produc1647334210lle_tv > paraco1605129243lle_tv))). 130.72/30.18 thf(sk3_type, type, sk3: (paraco1604210848lle_fm > (produc696645085lle_fm > (list_char > paraco1605129243lle_tv)))). 130.72/30.18 thf(sk4_type, type, sk4: ((list_char > paraco1605129243lle_tv) > (produc696645085lle_fm > paraco1604210848lle_fm))). 130.72/30.18 thf(sk5_type, type, sk5: (produc1647334210lle_tv > ((paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)) > paraco1605129243lle_tv))). 130.72/30.18 thf(sk6_type, type, sk6: (produc1647334210lle_tv > ((paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)) > paraco1605129243lle_tv))). 130.72/30.18 thf(sk7_type, type, sk7: (produc696645085lle_fm > (list_char > paraco1605129243lle_tv))). 130.72/30.18 thf(sk8_type, type, sk8: (produc696645085lle_fm > paraco1604210848lle_fm)). 130.72/30.18 thf(sk9_type, type, sk9: (produc696645085lle_fm > (list_char > paraco1605129243lle_tv))). 130.72/30.18 thf(sk10_type, type, sk10: (produc696645085lle_fm > paraco1604210848lle_fm)). 130.72/30.18 thf(37,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))]: ((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_curry__case__prod)). 130.72/30.18 thf(231,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))]: ((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 130.72/30.18 thf(232,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = (A)))),inference(cnf,[status(esa)],[231])). 130.72/30.18 thf(233,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = (A)))),inference(lifteq,[status(thm)],[232])). 130.72/30.18 thf(15,axiom,((produc724036226lle_tv = (^ [A:(produc1647334210lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_curry__conv)). 130.72/30.18 thf(142,plain,(((produc724036226lle_tv) = (^ [A:(produc1647334210lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 130.72/30.18 thf(143,plain,(((produc724036226lle_tv) = (^ [A:(produc1647334210lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))),inference(lifteq,[status(thm)],[142])). 130.72/30.18 thf(484,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ A) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))))),inference(func_ext,[status(esa)],[143])). 130.72/30.18 thf(796,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = (produc724036226lle_tv @ B)) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))))),inference(paramod_ordered,[status(thm)],[233,484])). 130.72/30.18 thf(821,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))) = (produc724036226lle_tv @ A)))),inference(pre_uni,[status(thm)],[796:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D))))]])). 130.72/30.18 thf(830,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))) = (produc724036226lle_tv @ A)))),inference(simp,[status(thm)],[821])). 130.72/30.18 thf(68,axiom,((produc192124683lle_tv = produc1882560353lle_tv)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_internal__case__prod__def)). 130.72/30.18 thf(336,plain,(((produc192124683lle_tv) = (produc1882560353lle_tv))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 130.72/30.18 thf(337,plain,(((produc1882560353lle_tv) = (produc192124683lle_tv))),inference(lifteq,[status(thm)],[336])). 130.72/30.18 thf(493,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc1882560353lle_tv @ A) = (produc192124683lle_tv @ A)))),inference(func_ext,[status(esa)],[337])). 130.72/30.18 thf(4377,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))) = (produc724036226lle_tv @ A)))),inference(rewrite,[status(thm)],[830,493])). 130.72/30.18 thf(4446,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))))) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))) | ((produc724036226lle_tv @ A) != (produc724036226lle_tv @ B)))),inference(paramod_ordered,[status(thm)],[4377,484])). 130.72/30.18 thf(4447,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))))),inference(pattern_uni,[status(thm)],[4446:[bind(A, $thf(A)),bind(B, $thf(A))]])). 130.72/30.18 thf(13,axiom,((! [A:(produc696645085lle_fm > $o),B:produc696645085lle_fm]: ((A @ B) <= (! [C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (A @ (produc1710735575lle_fm @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_old_Oprod_Oinducts)). 130.72/30.18 thf(136,plain,((! [A:(produc696645085lle_fm > $o),B:produc696645085lle_fm]: ((A @ B) | ~ (! [C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (A @ (produc1710735575lle_fm @ (C) @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 130.72/30.18 thf(137,plain,((! [A:(produc696645085lle_fm > $o)]: (! [B:produc696645085lle_fm]: (A @ B) | ~ (! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A @ (produc1710735575lle_fm @ (B) @ C)))))),inference(miniscope,[status(thm)],[136])). 130.72/30.18 thf(138,plain,(! [B:produc696645085lle_fm,A:(produc696645085lle_fm > $o)] : ((A @ B) | (~ (A @ (produc1710735575lle_fm @ (sk11 @ A) @ (sk12 @ (A))))))),inference(cnf,[status(esa)],[137])). 130.72/30.18 thf(3,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((A @ B @ C) => (produc852673135e_tv_o @ A @ (produc2058540732lle_tv @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_case__prodI)). 130.72/30.18 thf(101,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((A @ B @ C) => (produc852673135e_tv_o @ (A) @ (produc2058540732lle_tv @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 130.72/30.18 thf(45,axiom,((! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)]: ((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_case__prod__eta)). 130.72/30.18 thf(259,plain,((! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)]: ((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 130.72/30.18 thf(260,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))) = (A)))),inference(cnf,[status(esa)],[259])). 130.72/30.18 thf(261,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))) = (A)))),inference(lifteq,[status(thm)],[260])). 130.72/30.18 thf(846,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))) = (A)))),inference(rewrite,[status(thm)],[261,493])). 130.72/30.18 thf(42,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((the_Pr304385787lle_tv @ (produc852673135e_tv_o @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A = C) & (B = D))))) = (produc2058540732lle_tv @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_The__split__eq)). 130.72/30.18 thf(249,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((the_Pr304385787lle_tv @ (produc852673135e_tv_o @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A = C) & (B = D))))) = (produc2058540732lle_tv @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 130.72/30.18 thf(38,axiom,((! [A:paraco1604210848lle_fm]: ((! [B:list_char]: (A != (paraco1480028776le_Pro @ B))) => (((! [B:paraco1604210848lle_fm]: (A != (paraco445776468le_Neg @ B))) => (((~ (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: (A != (paraco1745535428le_Eql @ B @ C)))) <= (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: (A != (paraco1389086619le_Eql @ B @ C)))) <= (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: (A != (paraco69239110le_Con @ B @ C))))) <= (A != paraco367965286_Truth))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_fm_Oexhaust)). 130.72/30.18 thf(234,plain,((! [A:paraco1604210848lle_fm]: ((! [B:list_char]: ~ (A = (paraco1480028776le_Pro @ B))) => (((! [B:paraco1604210848lle_fm]: ~ (A = (paraco445776468le_Neg @ B))) => (~ (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ (A = (paraco1745535428le_Eql @ B @ C))) | ~ (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ (A = (paraco1389086619le_Eql @ B @ C))) | ~ (! [B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ (A = (paraco69239110le_Con @ B @ C))))) | (A = paraco367965286_Truth))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 130.72/30.18 thf(96,axiom,((! [A:($o > paraco1605129243lle_tv),B:(nat > paraco1605129243lle_tv),C:$o]: ((paraco2051596139lle_tv @ A @ B @ (paraco1344940915le_Det @ C)) = (A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_tv_Osimps_I5_J)). 130.72/30.18 thf(481,plain,((! [A:($o > paraco1605129243lle_tv),B:(nat > paraco1605129243lle_tv),C:$o]: ((paraco2051596139lle_tv @ (A) @ (B) @ (paraco1344940915le_Det @ C)) = (A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 130.72/30.18 thf(73,axiom,((! [A:produc1647334210lle_tv,B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),D:produc1647334210lle_tv]: ((! [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (((B @ E @ F) = (C @ E @ F)) <= ((produc2058540732lle_tv @ E @ F) = A))) => (((produc1882560353lle_tv @ B @ D) = (produc1882560353lle_tv @ C @ A)) <= (D = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_split__cong)). 130.72/30.18 thf(352,plain,((! [A:produc1647334210lle_tv,B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),D:produc1647334210lle_tv]: ((! [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (((B @ E @ F) = (C @ E @ F)) | ~ ((produc2058540732lle_tv @ E @ F) = A))) => (((produc1882560353lle_tv @ (B) @ D) = (produc1882560353lle_tv @ (C) @ A)) | ~ (D = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 130.72/30.18 thf(6,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: ((~ ((A = C) => (B != D))) <= ((produc1710735575lle_fm @ A @ B) = (produc1710735575lle_fm @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_Pair__inject)). 130.72/30.18 thf(110,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (~ (((A) = (C)) => (~ (B = D))) | ~ ((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 130.72/30.18 thf(112,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((B = D) | (~ ((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D))))),inference(cnf,[status(esa)],[110])). 130.72/30.18 thf(115,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((B = D) | ((produc1710735575lle_fm @ (A) @ B) != (produc1710735575lle_fm @ (C) @ D)))),inference(lifteq,[status(thm)],[112])). 130.72/30.18 thf(847,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc724036226lle_tv @ (produc192124683lle_tv @ A)) = (A)))),inference(rewrite,[status(thm)],[233,493])). 130.72/30.18 thf(14,axiom,((! [A:paraco1605129243lle_tv]: ((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_curry__K)). 130.72/30.18 thf(139,plain,((! [A:paraco1605129243lle_tv]: ((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 130.72/30.18 thf(140,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(cnf,[status(esa)],[139])). 130.72/30.18 thf(141,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(lifteq,[status(thm)],[140])). 130.72/30.18 thf(26,axiom,((! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)]: ((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_case__prod__curry)). 130.72/30.18 thf(196,plain,((! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)]: ((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 130.72/30.18 thf(197,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (A)))),inference(cnf,[status(esa)],[196])). 130.72/30.18 thf(198,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (A)))),inference(lifteq,[status(thm)],[197])). 130.72/30.18 thf(729,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A))) = (B)) | ((produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (A))) != (produc724036226lle_tv @ B)))),inference(paramod_ordered,[status(thm)],[141,198])). 130.72/30.18 thf(730,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[729:[bind(A, $thf(A)),bind(B, $thf(^ [C:produc1647334210lle_tv]: (A)))]])). 130.72/30.18 thf(740,plain,(! [B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) @ B) = A))),inference(func_ext,[status(esa)],[730])). 130.72/30.18 thf(1,conjecture,((? [A:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ A @ p) != (paraco1344940915le_Det @ $true)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 130.72/30.18 thf(2,negated_conjecture,((~ (? [A:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ A @ p) != (paraco1344940915le_Det @ $true))))),inference(neg_conjecture,[status(cth)],[1])). 130.72/30.18 thf(97,plain,((~ (? [A:(list_char > paraco1605129243lle_tv)]: ~ ((paraco1325918602e_eval @ (A) @ p) = (paraco1344940915le_Det @ $true))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 130.72/30.18 thf(98,plain,((~ (~ (! [A:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ (A) @ p) = (paraco1344940915le_Det @ $true)))))),inference(miniscope,[status(thm)],[97])). 130.72/30.18 thf(99,plain,(! [A:(list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ (A) @ p) = (paraco1344940915le_Det @ $true)))),inference(cnf,[status(esa)],[98])). 130.72/30.18 thf(100,plain,(! [A:(list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ (A) @ p) = (paraco1344940915le_Det @ $true)))),inference(lifteq,[status(thm)],[99])). 130.72/30.18 thf(1919,plain,(! [C:(list_char > paraco1605129243lle_tv),B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ B) = (paraco1344940915le_Det @ $true)) | (A != (paraco1325918602e_eval @ (C) @ p)))),inference(paramod_ordered,[status(thm)],[740,100])). 130.72/30.18 thf(1920,plain,(! [B:(list_char > paraco1605129243lle_tv),A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1325918602e_eval @ B @ p)) @ A) = (paraco1344940915le_Det @ $true)))),inference(pattern_uni,[status(thm)],[1919:[bind(A, $thf(paraco1325918602e_eval @ (D) @ p)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(1924,plain,(! [B:(list_char > paraco1605129243lle_tv),A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1325918602e_eval @ B @ p)) @ A) = (paraco1344940915le_Det @ $true)))),inference(simp,[status(thm)],[1920])). 130.72/30.18 thf(2513,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ A) = (paraco1344940915le_Det @ $true)))),inference(rewrite,[status(thm)],[1924,100])). 130.72/30.18 thf(82,axiom,((! [A:$o,B:nat]: ((paraco1344940915le_Det @ A) != (paraco793048302_Indet @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_tv_Odistinct_I1_J)). 130.72/30.18 thf(429,plain,((! [A:$o,B:nat]: ~ ((paraco1344940915le_Det @ A) = (paraco793048302_Indet @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 130.72/30.18 thf(430,plain,((! [A:nat]: ~ ((paraco1344940915le_Det @ $true) = (paraco793048302_Indet @ A)))),inference(instance,[status(thm)],[429])). 130.72/30.18 thf(432,plain,((~ (? [A:nat]: ((paraco1344940915le_Det @ $true) = (paraco793048302_Indet @ A))))),inference(miniscope,[status(thm)],[430])). 130.72/30.18 thf(433,plain,(! [A:nat] : ((~ ((paraco1344940915le_Det @ $true) = (paraco793048302_Indet @ A))))),inference(cnf,[status(esa)],[432])). 130.72/30.18 thf(436,plain,(! [A:nat] : (((paraco793048302_Indet @ A) != (paraco1344940915le_Det @ $true)))),inference(lifteq,[status(thm)],[433])). 130.72/30.18 thf(1877,plain,(! [C:nat,B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ B) != (paraco1344940915le_Det @ $true)) | (A != (paraco793048302_Indet @ C)))),inference(paramod_ordered,[status(thm)],[740,436])). 130.72/30.18 thf(1878,plain,(! [B:nat,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A) != (paraco1344940915le_Det @ $true)))),inference(pattern_uni,[status(thm)],[1877:[bind(A, $thf(paraco793048302_Indet @ D)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(1931,plain,(! [B:nat,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A) != (paraco1344940915le_Det @ $true)))),inference(simp,[status(thm)],[1878])). 130.72/30.18 thf(2514,plain,(! [C:nat,B:produc1647334210lle_tv,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ A) != (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ C)) @ B)))),inference(paramod_ordered,[status(thm)],[2513,1931])). 130.72/30.18 thf(2535,plain,(! [C:nat,B:produc1647334210lle_tv,A:produc1647334210lle_tv] : (((^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ C)) != (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | (A != B))),inference(simp,[status(thm)],[2514])). 130.72/30.18 thf(2540,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2535])). 130.72/30.18 thf(2550,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (A))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[141,2540])). 130.72/30.18 thf(2551,plain,(! [A:nat] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2550:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(2568,plain,(! [A:nat] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2551])). 130.72/30.18 thf(2587,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((produc724036226lle_tv @ (produc192124683lle_tv @ A)) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))))),inference(paramod_ordered,[status(thm)],[847,2568])). 130.72/30.18 thf(2609,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A)))))),inference(simp,[status(thm)],[2587])). 130.72/30.18 thf(2619,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A)))))),inference(simp,[status(thm)],[2609])). 130.72/30.18 thf(5338,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) != (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))) | ((produc724036226lle_tv @ A) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))))),inference(paramod_ordered,[status(thm)],[484,2619])). 130.72/30.18 thf(5339,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) != (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(pattern_uni,[status(thm)],[5338:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(5502,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) != (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(simp,[status(thm)],[5339])). 130.72/30.18 thf(5540,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))) | ((produc724036226lle_tv @ A) != (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(paramod_ordered,[status(thm)],[484,5502])). 130.72/30.18 thf(5541,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A))))),inference(pattern_uni,[status(thm)],[5540:[bind(A, $thf(produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))),bind(B, $thf(B))]])). 130.72/30.18 thf(5625,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A))))),inference(simp,[status(thm)],[5541])). 130.72/30.18 thf(2610,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) | ((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (B)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (B))) | ((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (C)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (C))))),inference(simp,[status(thm)],[2587])). 130.72/30.18 thf(2620,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))))),inference(simp,[status(thm)],[2610])). 130.72/30.18 thf(2627,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco793048302_Indet @ B))) | ((produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D)))) != (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(paramod_ordered,[status(thm)],[846,2620])). 130.72/30.18 thf(2661,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco793048302_Indet @ A)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pre_uni,[status(thm)],[2627:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))),bind(B, $thf(B))]])). 130.72/30.18 thf(2671,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco793048302_Indet @ A)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2661])). 130.72/30.18 thf(8,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:produc1647334210lle_tv]: ((produc852673135e_tv_o @ A @ B) => (~ (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((~ (A @ C @ D)) <= (B = (produc2058540732lle_tv @ C @ D)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_case__prodE)). 130.72/30.18 thf(120,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:produc1647334210lle_tv]: ((produc852673135e_tv_o @ (A) @ B) => (~ (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (~ (A @ C @ D) | ~ (B = (produc2058540732lle_tv @ C @ D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 130.72/30.18 thf(93,axiom,((! [A:paraco1605129243lle_tv]: ((! [B:$o]: (A != (paraco1344940915le_Det @ B))) => (~ (! [B:nat]: (A != (paraco793048302_Indet @ B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_tv_Oexhaust)). 130.72/30.18 thf(472,plain,((! [A:paraco1605129243lle_tv]: ((! [B:$o]: ~ (A = (paraco1344940915le_Det @ B))) => (~ (! [B:nat]: ~ (A = (paraco793048302_Indet @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 130.72/30.18 thf(23,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((paraco69239110le_Con @ A @ B) != (paraco1745535428le_Eql @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_fm_Odistinct_I27_J)). 130.72/30.18 thf(185,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ ((paraco69239110le_Con @ A @ B) = (paraco1745535428le_Eql @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 130.72/30.18 thf(53,axiom,((! [A:list_char,B:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) != (paraco445776468le_Neg @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_fm_Odistinct_I3_J)). 130.72/30.18 thf(288,plain,((! [A:list_char,B:paraco1604210848lle_fm]: ~ ((paraco1480028776le_Pro @ A) = (paraco445776468le_Neg @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 130.72/30.18 thf(22,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth != (paraco69239110le_Con @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_fm_Odistinct_I13_J)). 130.72/30.18 thf(181,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: ~ (paraco367965286_Truth = (paraco69239110le_Con @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 130.72/30.18 thf(182,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth = (paraco69239110le_Con @ A @ B))))),inference(miniscope,[status(thm)],[181])). 130.72/30.18 thf(183,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ (paraco367965286_Truth = (paraco69239110le_Con @ A @ B))))),inference(cnf,[status(esa)],[182])). 130.72/30.18 thf(184,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco69239110le_Con @ A @ B) != paraco367965286_Truth))),inference(lifteq,[status(thm)],[183])). 130.72/30.18 thf(70,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth != (paraco1389086619le_Eql @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_fm_Odistinct_I15_J)). 130.72/30.18 thf(341,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: ~ (paraco367965286_Truth = (paraco1389086619le_Eql @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 130.72/30.18 thf(342,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth = (paraco1389086619le_Eql @ A @ B))))),inference(miniscope,[status(thm)],[341])). 130.72/30.18 thf(343,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ (paraco367965286_Truth = (paraco1389086619le_Eql @ A @ B))))),inference(cnf,[status(esa)],[342])). 130.72/30.18 thf(344,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco1389086619le_Eql @ A @ B) != paraco367965286_Truth))),inference(lifteq,[status(thm)],[343])). 130.72/30.18 thf(589,plain,(! [B:paraco1605129243lle_tv,A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (A)) @ B) = (^ [C:paraco1605129243lle_tv]: (A))))),inference(func_ext,[status(esa)],[141])). 130.72/30.18 thf(2556,plain,(! [C:nat,B:paraco1605129243lle_tv,A:paraco1605129243lle_tv] : (((^ [D:paraco1605129243lle_tv]: (produc724036226lle_tv @ (^ [E:produc1647334210lle_tv]: (A)) @ B)) != (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [D:paraco1605129243lle_tv]: (A)) != (^ [D:paraco1605129243lle_tv]: (paraco793048302_Indet @ C))))),inference(paramod_ordered,[status(thm)],[589,2540])). 130.72/30.18 thf(2557,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv]: (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2556:[bind(A, $thf(paraco793048302_Indet @ D)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(2571,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv]: (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2557])). 130.72/30.18 thf(24,axiom,((! [A:nat,B:nat]: (((paraco793048302_Indet @ A) = (paraco793048302_Indet @ B)) = (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_tv_Oinject_I2_J)). 130.72/30.18 thf(189,plain,((! [A:nat,B:nat]: (((paraco793048302_Indet @ A) = (paraco793048302_Indet @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 130.72/30.18 thf(80,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ A @ B) = (paraco1325918602e_eval @ A @ C)) => ((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true))) & (((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ C) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ B) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ C))) @ (^ [F:nat]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ C))) @ E)) @ (^ [F:nat]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ B) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ B))) @ (^ [G:nat]: (paraco1344940915le_Det @ $false)) @ E)) @ D)) @ (produc2058540732lle_tv @ (paraco1325918602e_eval @ A @ B) @ (paraco1325918602e_eval @ A @ C)))) <= ((paraco1325918602e_eval @ A @ B) != (paraco1325918602e_eval @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_eval_Osimps_I6_J)). 130.72/30.18 thf(421,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C)) => ((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true))) & (((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ C) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ B) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ C))) @ (^ [F:nat]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ C))) @ E)) @ (^ [F:nat]: (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1325918602e_eval @ A @ B) @ (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ B))) @ (^ [G:nat]: (paraco1344940915le_Det @ $false)) @ E)) @ D)) @ (produc2058540732lle_tv @ (paraco1325918602e_eval @ (A) @ B) @ (paraco1325918602e_eval @ (A) @ C)))) | ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 130.72/30.18 thf(36,axiom,((! [A:(produc1647334210lle_tv > $o),B:produc1647334210lle_tv]: ((! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) => (A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_prod__cases)). 130.72/30.18 thf(228,plain,((! [A:(produc1647334210lle_tv > $o),B:produc1647334210lle_tv]: ((! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) => (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 130.72/30.18 thf(62,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco69239110le_Con @ A @ B) = (paraco69239110le_Con @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_fm_Oinject_I3_J)). 130.72/30.18 thf(316,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco69239110le_Con @ A @ B) = (paraco69239110le_Con @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 130.72/30.18 thf(19,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((paraco1389086619le_Eql @ A @ B) != (paraco1745535428le_Eql @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_fm_Odistinct_I29_J)). 130.72/30.18 thf(152,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ ((paraco1389086619le_Eql @ A @ B) = (paraco1745535428le_Eql @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 130.72/30.18 thf(763,plain,(! [B:paraco1605129243lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))) | ((A) != (^ [C:produc1647334210lle_tv]: (B))))),inference(paramod_ordered,[status(thm)],[198,730])). 130.72/30.18 thf(764,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))) = (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))))),inference(pattern_uni,[status(thm)],[763:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (B)))]])). 130.72/30.18 thf(776,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))) = (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))))),inference(simp,[status(thm)],[764])). 130.72/30.18 thf(2236,plain,(! [A:paraco1605129243lle_tv] : (((produc192124683lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))) = (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))))),inference(rewrite,[status(thm)],[776,493])). 130.72/30.18 thf(39,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco1745535428le_Eql @ A @ B) = (paraco1745535428le_Eql @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_fm_Oinject_I5_J)). 130.72/30.18 thf(238,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco1745535428le_Eql @ A @ B) = (paraco1745535428le_Eql @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 130.72/30.18 thf(121,plain,(! [B:produc1647334210lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))] : ((~ (produc852673135e_tv_o @ (A) @ B)) | (A @ (sk5 @ B @ (A)) @ (sk6 @ B @ (A))))),inference(cnf,[status(esa)],[120])). 130.72/30.18 thf(72,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth != (paraco1745535428le_Eql @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_fm_Odistinct_I17_J)). 130.72/30.18 thf(348,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: ~ (paraco367965286_Truth = (paraco1745535428le_Eql @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 130.72/30.18 thf(31,axiom,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) != (paraco69239110le_Con @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_fm_Odistinct_I5_J)). 130.72/30.18 thf(211,plain,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco1480028776le_Pro @ A) = (paraco69239110le_Con @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 130.72/30.18 thf(593,plain,(! [B:paraco1605129243lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))))) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B))) | ((A) != (^ [C:produc1647334210lle_tv]: (B))))),inference(paramod_ordered,[status(thm)],[261,141])). 130.72/30.18 thf(594,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[593:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (B)))]])). 130.72/30.18 thf(599,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(simp,[status(thm)],[594])). 130.72/30.18 thf(925,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(rewrite,[status(thm)],[599,493])). 130.72/30.18 thf(2629,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ E @ F))))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))) | ((A) != (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[846,2620])). 130.72/30.18 thf(2630,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(pattern_uni,[status(thm)],[2629:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(2672,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(simp,[status(thm)],[2630])). 130.72/30.18 thf(3370,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (D)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (D))))),inference(simp,[status(thm)],[2672])). 130.72/30.18 thf(3438,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[3370])). 130.72/30.18 thf(3449,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (A))))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[925,3438])). 130.72/30.18 thf(3450,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ A))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[3449:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(3473,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ A))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[3450])). 130.72/30.18 thf(4,axiom,((! [A:produc1647334210lle_tv,B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))]: ((produc852673135e_tv_o @ B @ A) <= (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A = (produc2058540732lle_tv @ C @ D)) => (B @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_case__prodI2)). 130.72/30.18 thf(103,plain,((! [A:produc1647334210lle_tv,B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))]: ((produc852673135e_tv_o @ (B) @ A) | ~ (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A = (produc2058540732lle_tv @ C @ D)) => (B @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 130.72/30.18 thf(104,plain,(! [B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),A:produc1647334210lle_tv] : ((produc852673135e_tv_o @ (B) @ A) | (A = (produc2058540732lle_tv @ (sk1 @ (B) @ A) @ (sk2 @ (B) @ A))))),inference(cnf,[status(esa)],[103])). 130.72/30.18 thf(106,plain,(! [B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),A:produc1647334210lle_tv] : (((produc2058540732lle_tv @ (sk1 @ (B) @ A) @ (sk2 @ (B) @ A)) = A) | (produc852673135e_tv_o @ (B) @ A))),inference(lifteq,[status(thm)],[104])). 130.72/30.18 thf(78,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ A @ B) = (paraco1325918602e_eval @ A @ C)) => ((paraco1325918602e_eval @ A @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ A @ B))) & (((paraco1325918602e_eval @ A @ B) != (paraco1325918602e_eval @ A @ C)) => ((((paraco1325918602e_eval @ A @ B) != (paraco1344940915le_Det @ $true)) => ((((paraco1325918602e_eval @ A @ C) != (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ A @ (paraco69239110le_Con @ B @ C)) = (paraco1344940915le_Det @ $false))) & (((paraco1325918602e_eval @ A @ C) = (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ A @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ A @ B))))) & (((paraco1325918602e_eval @ A @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ A @ C)) <= ((paraco1325918602e_eval @ A @ B) = (paraco1344940915le_Det @ $true)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_eval_Osimps_I4_J)). 130.72/30.18 thf(397,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C)) => ((paraco1325918602e_eval @ (A) @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ (A) @ B))) & ((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C))) => (((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true))) => (((~ ((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $true))) => ((paraco1325918602e_eval @ (A) @ (paraco69239110le_Con @ B @ C)) = (paraco1344940915le_Det @ $false))) & (((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ (A) @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ (A) @ B))))) & (((paraco1325918602e_eval @ (A) @ (paraco69239110le_Con @ B @ C)) = (paraco1325918602e_eval @ (A) @ C)) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 130.72/30.18 thf(51,axiom,((! [A:produc1647334210lle_tv]: ((produc942307752lle_tv @ produc2058540732lle_tv @ A) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_case__prod__Pair__iden)). 130.72/30.18 thf(278,plain,((! [A:produc1647334210lle_tv]: ((produc942307752lle_tv @ (produc2058540732lle_tv) @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 130.72/30.18 thf(279,plain,(! [A:produc1647334210lle_tv] : (((produc942307752lle_tv @ (produc2058540732lle_tv) @ A) = A))),inference(cnf,[status(esa)],[278])). 130.72/30.18 thf(280,plain,(! [A:produc1647334210lle_tv] : (((produc942307752lle_tv @ (produc2058540732lle_tv) @ A) = A))),inference(lifteq,[status(thm)],[279])). 130.72/30.18 thf(955,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))) | ((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)))) != (produc724036226lle_tv @ B)))),inference(paramod_ordered,[status(thm)],[925,484])). 130.72/30.18 thf(956,plain,(! [A:paraco1605129243lle_tv] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ B @ C)))))),inference(pattern_uni,[status(thm)],[955:[bind(A, $thf(A)),bind(B, $thf(produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A))))]])). 130.72/30.18 thf(2518,plain,(! [B:produc1647334210lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A) @ B) = (paraco1344940915le_Det @ $true)) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(paramod_ordered,[status(thm)],[484,2513])). 130.72/30.18 thf(2536,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) @ A) = (paraco1344940915le_Det @ $true)))),inference(pre_uni,[status(thm)],[2518:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))),bind(B, $thf(B))]])). 130.72/30.18 thf(2541,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) @ A) = (paraco1344940915le_Det @ $true)))),inference(simp,[status(thm)],[2536])). 130.72/30.18 thf(2768,plain,(! [C:nat,B:produc1647334210lle_tv,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) @ A) != (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ C)) @ B)))),inference(paramod_ordered,[status(thm)],[2541,1931])). 130.72/30.18 thf(2800,plain,(! [C:nat,B:produc1647334210lle_tv,A:produc1647334210lle_tv] : (((produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) != (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ C))) | (A != B))),inference(simp,[status(thm)],[2768])). 130.72/30.18 thf(2809,plain,(! [A:nat] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A))))),inference(simp,[status(thm)],[2800])). 130.72/30.18 thf(2819,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ C @ D))) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[956,2809])). 130.72/30.18 thf(2820,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(pattern_uni,[status(thm)],[2819:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(2861,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(simp,[status(thm)],[2820])). 130.72/30.18 thf(88,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc234482697lle_tv @ A @ B @ $true) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_old_Obool_Osimps_I3_J)). 130.72/30.18 thf(453,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc234482697lle_tv @ A @ B @ $true) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 130.72/30.18 thf(11,axiom,((! [A:produc696645085lle_fm]: ~ (! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A != (produc1710735575lle_fm @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_old_Oprod_Oexhaust)). 130.72/30.18 thf(129,plain,((! [A:produc696645085lle_fm]: ~ (! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: ~ (A = (produc1710735575lle_fm @ (B) @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 130.72/30.18 thf(130,plain,((~ (~ (! [A:produc696645085lle_fm]: ? [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A = (produc1710735575lle_fm @ (B) @ C)))))),inference(miniscope,[status(thm)],[129])). 130.72/30.18 thf(131,plain,(! [A:produc696645085lle_fm] : ((A = (produc1710735575lle_fm @ (sk7 @ A) @ (sk8 @ A))))),inference(cnf,[status(esa)],[130])). 130.72/30.18 thf(132,plain,(! [A:produc696645085lle_fm] : (((produc1710735575lle_fm @ (sk7 @ A) @ (sk8 @ A)) = A))),inference(lifteq,[status(thm)],[131])). 130.72/30.18 thf(12,axiom,((! [A:produc696645085lle_fm]: ? [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A = (produc1710735575lle_fm @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_surj__pair)). 130.72/30.18 thf(133,plain,((! [A:produc696645085lle_fm]: ? [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A = (produc1710735575lle_fm @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 130.72/30.18 thf(105,plain,(! [B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),A:produc1647334210lle_tv] : ((produc852673135e_tv_o @ (B) @ A) | (~ (B @ (sk1 @ (B) @ A) @ (sk2 @ (B) @ A))))),inference(cnf,[status(esa)],[103])). 130.72/30.18 thf(612,plain,(! [A:produc1647334210lle_tv] : ((produc852673135e_tv_o @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ($true)) @ A) | ~ ($true))),inference(prim_subst,[status(thm)],[105:[bind(A, $thf(A)),bind(B, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ($true)))]])). 130.72/30.18 thf(660,plain,(! [A:produc1647334210lle_tv] : ((produc852673135e_tv_o @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ($true)) @ A))),inference(simp,[status(thm)],[612])). 130.72/30.18 thf(116,plain,(! [B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : (((sk4 @ A @ (produc1710735575lle_fm @ A @ B)) = B))),introduced(tautology,[new_symbols(inverse(produc1710735575lle_fm),[sk4])])). 130.72/30.18 thf(81,axiom,((paraco327635598_valid @ (paraco445776468le_Neg @ p))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms)). 130.72/30.18 thf(428,plain,((paraco327635598_valid @ (paraco445776468le_Neg @ p))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 130.72/30.18 thf(47,axiom,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:produc1647334210lle_tv]: ((A @ (produc1882560353lle_tv @ B @ C)) = (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_prod_Ocase__distrib)). 130.72/30.18 thf(265,plain,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:produc1647334210lle_tv]: ((A @ (produc1882560353lle_tv @ (B) @ C)) = (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 130.72/30.18 thf(54,axiom,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (produc234482697lle_tv @ (A @ B) @ (A @ C) @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_bool_Ocase__distrib)). 130.72/30.18 thf(292,plain,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (produc234482697lle_tv @ (A @ B) @ (A @ C) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 130.72/30.18 thf(41,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) != (paraco69239110le_Con @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_fm_Odistinct_I19_J)). 130.72/30.18 thf(245,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco445776468le_Neg @ A) = (paraco69239110le_Con @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 130.72/30.18 thf(246,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) = (paraco69239110le_Con @ B @ C))))),inference(miniscope,[status(thm)],[245])). 130.72/30.18 thf(247,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ ((paraco445776468le_Neg @ A) = (paraco69239110le_Con @ B @ C))))),inference(cnf,[status(esa)],[246])). 130.72/30.18 thf(248,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco445776468le_Neg @ A) != (paraco69239110le_Con @ B @ C)))),inference(lifteq,[status(thm)],[247])). 130.72/30.18 thf(7,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (((produc1710735575lle_fm @ A @ B) = (produc1710735575lle_fm @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_old_Oprod_Oinject)). 130.72/30.18 thf(117,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = (((A) = (C)) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 130.72/30.18 thf(28,axiom,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) != (paraco1389086619le_Eql @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_fm_Odistinct_I7_J)). 130.72/30.18 thf(201,plain,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco1480028776le_Pro @ A) = (paraco1389086619le_Eql @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 130.72/30.18 thf(102,plain,(! [C:paraco1605129243lle_tv,B:paraco1605129243lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))] : ((~ (A @ B @ C)) | (produc852673135e_tv_o @ (A) @ (produc2058540732lle_tv @ B @ C)))),inference(cnf,[status(esa)],[101])). 130.72/30.18 thf(745,plain,(! [B:paraco1605129243lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D)))) = (^ [C:produc1647334210lle_tv]: (B))) | ((A) != (produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))))),inference(paramod_ordered,[status(thm)],[261,730])). 130.72/30.18 thf(746,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ B @ C)))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[745:[bind(A, $thf(produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))),bind(B, $thf(B))]])). 130.72/30.18 thf(774,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ B @ C)))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(simp,[status(thm)],[746])). 130.72/30.18 thf(1730,plain,(! [A:paraco1605129243lle_tv] : (((produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ B @ C)))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(rewrite,[status(thm)],[774,493])). 130.72/30.18 thf(5014,plain,(! [B:produc1647334210lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))))) @ B) = (paraco1344940915le_Det @ $true)) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(paramod_ordered,[status(thm)],[4447,2513])). 130.72/30.18 thf(5202,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) @ A) = (paraco1344940915le_Det @ $true)))),inference(pre_uni,[status(thm)],[5014:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))),bind(B, $thf(B))]])). 130.72/30.18 thf(5258,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))) @ A) = (paraco1344940915le_Det @ $true)))),inference(simp,[status(thm)],[5202])). 130.72/30.18 thf(5730,plain,(! [B:produc1647334210lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) @ B) = (paraco1344940915le_Det @ $true)) | ((produc724036226lle_tv @ A) != (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))))),inference(paramod_ordered,[status(thm)],[484,5258])). 130.72/30.18 thf(5731,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ (produc2058540732lle_tv @ B @ C))) @ A) = (paraco1344940915le_Det @ $true)))),inference(pattern_uni,[status(thm)],[5730:[bind(A, $thf(produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)))),bind(B, $thf(B))]])). 130.72/30.18 thf(5815,plain,(! [A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true)) @ (produc2058540732lle_tv @ B @ C))) @ A) = (paraco1344940915le_Det @ $true)))),inference(simp,[status(thm)],[5731])). 130.72/30.18 thf(25,axiom,((! [A:paraco1604210848lle_fm]: (paraco367965286_Truth != (paraco445776468le_Neg @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_fm_Odistinct_I11_J)). 130.72/30.18 thf(192,plain,((! [A:paraco1604210848lle_fm]: ~ (paraco367965286_Truth = (paraco445776468le_Neg @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 130.72/30.18 thf(50,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc192124683lle_tv @ A @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_internal__case__prod__conv)). 130.72/30.18 thf(275,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc192124683lle_tv @ (A) @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 130.72/30.18 thf(43,axiom,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) != (paraco1745535428le_Eql @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_fm_Odistinct_I9_J)). 130.72/30.18 thf(252,plain,((! [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco1480028776le_Pro @ A) = (paraco1745535428le_Eql @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 130.72/30.18 thf(2545,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[925,2540])). 130.72/30.18 thf(2546,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2545:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(2565,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2546])). 130.72/30.18 thf(2836,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (A))) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[141,2809])). 130.72/30.18 thf(2837,plain,(! [A:nat] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(pattern_uni,[status(thm)],[2836:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(2872,plain,(! [A:nat] : (((produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(simp,[status(thm)],[2837])). 130.72/30.18 thf(89,axiom,((! [A:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ A @ paraco367965286_Truth) = (paraco1344940915le_Det @ $true)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_eval_Osimps_I2_J)). 130.72/30.18 thf(456,plain,((! [A:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ (A) @ paraco367965286_Truth) = (paraco1344940915le_Det @ $true)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 130.72/30.18 thf(66,axiom,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:($o > paraco1605129243lle_tv),C:(nat > paraco1605129243lle_tv),D:paraco1605129243lle_tv]: ((A @ (paraco2051596139lle_tv @ B @ C @ D)) = (paraco2051596139lle_tv @ (^ [E:$o]: (A @ (B @ E))) @ (^ [E:nat]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_tv_Ocase__distrib)). 130.72/30.18 thf(329,plain,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:($o > paraco1605129243lle_tv),C:(nat > paraco1605129243lle_tv),D:paraco1605129243lle_tv]: ((A @ (paraco2051596139lle_tv @ (B) @ (C) @ D)) = (paraco2051596139lle_tv @ (^ [E:$o]: (A @ (B @ E))) @ (^ [E:nat]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 130.72/30.18 thf(431,plain,((! [A:nat]: ~ ((paraco1344940915le_Det @ $false) = (paraco793048302_Indet @ A)))),inference(instance,[status(thm)],[429])). 130.72/30.18 thf(434,plain,((~ (? [A:nat]: ((paraco1344940915le_Det @ $false) = (paraco793048302_Indet @ A))))),inference(miniscope,[status(thm)],[431])). 130.72/30.18 thf(435,plain,(! [A:nat] : ((~ ((paraco1344940915le_Det @ $false) = (paraco793048302_Indet @ A))))),inference(cnf,[status(esa)],[434])). 130.72/30.18 thf(437,plain,(! [A:nat] : (((paraco793048302_Indet @ A) != (paraco1344940915le_Det @ $false)))),inference(lifteq,[status(thm)],[435])). 130.72/30.18 thf(1914,plain,(! [C:nat,B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (A)) @ B) != (paraco1344940915le_Det @ $false)) | (A != (paraco793048302_Indet @ C)))),inference(paramod_ordered,[status(thm)],[740,437])). 130.72/30.18 thf(1915,plain,(! [B:nat,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A) != (paraco1344940915le_Det @ $false)))),inference(pattern_uni,[status(thm)],[1914:[bind(A, $thf(paraco793048302_Indet @ D)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(1936,plain,(! [B:nat,A:produc1647334210lle_tv] : (((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A) != (paraco1344940915le_Det @ $false)))),inference(simp,[status(thm)],[1915])). 130.72/30.18 thf(791,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))) | ((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) != (produc724036226lle_tv @ B)))),inference(paramod_ordered,[status(thm)],[233,484])). 130.72/30.18 thf(792,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ B @ C)))))),inference(pattern_uni,[status(thm)],[791:[bind(A, $thf(A)),bind(B, $thf(produc1882560353lle_tv @ A))]])). 130.72/30.18 thf(3456,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ F @ G))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[792,3438])). 130.72/30.18 thf(3457,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [G:paraco1605129243lle_tv,H:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ E @ F))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[3456:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(3467,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [G:paraco1605129243lle_tv,H:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ E @ F))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[3457])). 130.72/30.18 thf(20,axiom,((! [A:(paraco1604210848lle_fm > $o),B:paraco1604210848lle_fm]: ((((((! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((A @ (paraco1389086619le_Eql @ C @ D)) <= (A @ D)) <= (A @ C))) => ((! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((A @ D) => (A @ (paraco1745535428le_Eql @ C @ D))) <= (A @ C))) => (A @ B))) <= (! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((A @ (paraco69239110le_Con @ C @ D)) <= (A @ D)) <= (A @ C)))) <= (! [C:paraco1604210848lle_fm]: ((A @ C) => (A @ (paraco445776468le_Neg @ C))))) <= (A @ paraco367965286_Truth)) <= (! [C:list_char]: (A @ (paraco1480028776le_Pro @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_fm_Oinduct)). 130.72/30.18 thf(156,plain,((! [A:(paraco1604210848lle_fm > $o),B:paraco1604210848lle_fm]: (((! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((A @ (paraco1389086619le_Eql @ C @ D)) | ~ (A @ D) | ~ (A @ C))) => ((! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((A @ D) => (A @ (paraco1745535428le_Eql @ C @ D))) | ~ (A @ C))) => (A @ B))) | ~ (! [C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((A @ (paraco69239110le_Con @ C @ D)) | ~ (A @ D) | ~ (A @ C))) | ~ (! [C:paraco1604210848lle_fm]: ((A @ C) => (A @ (paraco445776468le_Neg @ C)))) | ~ (A @ paraco367965286_Truth) | ~ (! [C:list_char]: (A @ (paraco1480028776le_Pro @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 130.72/30.18 thf(186,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((paraco69239110le_Con @ A @ B) = (paraco1745535428le_Eql @ C @ D))))),inference(miniscope,[status(thm)],[185])). 130.72/30.18 thf(187,plain,(! [D:paraco1604210848lle_fm,C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ ((paraco69239110le_Con @ A @ B) = (paraco1745535428le_Eql @ C @ D))))),inference(cnf,[status(esa)],[186])). 130.72/30.18 thf(188,plain,(! [D:paraco1604210848lle_fm,C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco69239110le_Con @ A @ B) != (paraco1745535428le_Eql @ C @ D)))),inference(lifteq,[status(thm)],[187])). 130.72/30.18 thf(804,plain,(! [B:paraco1605129243lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ A)) = (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (B)))) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B))))),inference(paramod_ordered,[status(thm)],[233,141])). 130.72/30.18 thf(805,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))))),inference(pattern_uni,[status(thm)],[804:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))]])). 130.72/30.18 thf(823,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))))),inference(simp,[status(thm)],[805])). 130.72/30.18 thf(3119,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A)))) = (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))))),inference(rewrite,[status(thm)],[823,493])). 130.72/30.18 thf(94,axiom,((paraco327635598_valid = (^ [A:paraco1604210848lle_fm]: ! [B:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ B @ A) = (paraco1344940915le_Det @ $true))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_valid__def)). 130.72/30.18 thf(476,plain,(((paraco327635598_valid) = (^ [A:paraco1604210848lle_fm]: ! [B:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ B @ A) = (paraco1344940915le_Det @ $true))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 130.72/30.18 thf(2596,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))))),inference(paramod_ordered,[status(thm)],[792,2568])). 130.72/30.18 thf(2597,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2596:[bind(A, $thf(produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))),bind(B, $thf(B))]])). 130.72/30.18 thf(2613,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2597])). 130.72/30.18 thf(5,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (((produc1710735575lle_fm @ A @ B) = (produc1710735575lle_fm @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_prod_Oinject)). 130.72/30.18 thf(107,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = ((B = D) & ((A) = (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 130.72/30.18 thf(108,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = ((B = D) & ((A) = (C)))))),inference(cnf,[status(esa)],[107])). 130.72/30.18 thf(109,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = ((B = D) & ((A) = (C)))))),inference(lifteq,[status(thm)],[108])). 130.72/30.18 thf(44,axiom,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (~ ((~ (A @ B) & (D)) | (~ (A @ C) & ~ (D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_bool_Osplit__sel__asm)). 130.72/30.18 thf(256,plain,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (~ ((~ (A @ B) & (D)) | (~ (A @ C) & ~ (D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 130.72/30.18 thf(9,axiom,((! [A:produc1647334210lle_tv]: ((produc211755292lle_tv @ (produc211755292lle_tv @ A)) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_swap__swap)). 130.72/30.18 thf(124,plain,((! [A:produc1647334210lle_tv]: ((produc211755292lle_tv @ (produc211755292lle_tv @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 130.72/30.18 thf(35,axiom,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:(paraco1605129243lle_tv > paraco1605129243lle_tv),C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((produc1345917071lle_tv @ A @ B @ (produc2058540732lle_tv @ C @ D)) = (produc2058540732lle_tv @ (A @ C) @ (B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_map__prod__simp)). 130.72/30.18 thf(225,plain,((! [A:(paraco1605129243lle_tv > paraco1605129243lle_tv),B:(paraco1605129243lle_tv > paraco1605129243lle_tv),C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((produc1345917071lle_tv @ (A) @ (B) @ (produc2058540732lle_tv @ C @ D)) = (produc2058540732lle_tv @ (A @ C) @ (B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 130.72/30.18 thf(755,plain,(! [B:paraco1605129243lle_tv,A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (A)))) = (^ [C:produc1647334210lle_tv]: (B))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B))))),inference(paramod_ordered,[status(thm)],[141,730])). 130.72/30.18 thf(756,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[755:[bind(A, $thf(A)),bind(B, $thf(A))]])). 130.72/30.18 thf(984,plain,(! [A:paraco1605129243lle_tv] : (((produc192124683lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A)))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(rewrite,[status(thm)],[756,493])). 130.72/30.18 thf(2684,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ E @ F))))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[846,2671])). 130.72/30.18 thf(2685,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2684:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(2697,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2685])). 130.72/30.18 thf(3454,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (produc724036226lle_tv @ (^ [F:produc1647334210lle_tv]: (A)))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[141,3438])). 130.72/30.18 thf(3455,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (produc724036226lle_tv @ (^ [E:produc1647334210lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[3454:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(3476,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (produc724036226lle_tv @ (^ [E:produc1647334210lle_tv]: (paraco793048302_Indet @ A)))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[3455])). 130.72/30.18 thf(10,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc852673135e_tv_o @ A @ (produc2058540732lle_tv @ B @ C)) => (A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_case__prodD)). 130.72/30.18 thf(127,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc852673135e_tv_o @ (A) @ (produc2058540732lle_tv @ B @ C)) => (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 130.72/30.18 thf(128,plain,(! [C:paraco1605129243lle_tv,B:paraco1605129243lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))] : ((~ (produc852673135e_tv_o @ (A) @ (produc2058540732lle_tv @ B @ C))) | (A @ B @ C))),inference(cnf,[status(esa)],[127])). 130.72/30.18 thf(74,axiom,((! [A:produc696645085lle_fm]: (((! [B:(list_char > paraco1605129243lle_tv)]: (A != (produc1710735575lle_fm @ B @ paraco367965286_Truth))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: (A != (produc1710735575lle_fm @ B @ (paraco445776468le_Neg @ C)))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (A != (produc1710735575lle_fm @ B @ (paraco69239110le_Con @ C @ D)))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (A != (produc1710735575lle_fm @ B @ (paraco1389086619le_Eql @ C @ D)))) => (~ (! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (A != (produc1710735575lle_fm @ B @ (paraco1745535428le_Eql @ C @ D))))))))) <= (! [B:(list_char > paraco1605129243lle_tv),C:list_char]: (A != (produc1710735575lle_fm @ B @ (paraco1480028776le_Pro @ C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_eval_Ocases)). 130.72/30.18 thf(360,plain,((! [A:produc696645085lle_fm]: (((! [B:(list_char > paraco1605129243lle_tv)]: ~ (A = (produc1710735575lle_fm @ (B) @ paraco367965286_Truth))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm]: ~ (A = (produc1710735575lle_fm @ (B) @ (paraco445776468le_Neg @ C)))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ (A = (produc1710735575lle_fm @ (B) @ (paraco69239110le_Con @ C @ D)))) => ((! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ (A = (produc1710735575lle_fm @ (B) @ (paraco1389086619le_Eql @ C @ D)))) => (~ (! [B:(list_char > paraco1605129243lle_tv),C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ (A = (produc1710735575lle_fm @ (B) @ (paraco1745535428le_Eql @ C @ D))))))))) | ~ (! [B:(list_char > paraco1605129243lle_tv),C:list_char]: ~ (A = (produc1710735575lle_fm @ (B) @ (paraco1480028776le_Pro @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 130.72/30.18 thf(29,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc234482697lle_tv @ A @ B @ $false) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_old_Obool_Osimps_I4_J)). 130.72/30.18 thf(205,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc234482697lle_tv @ A @ B @ $false) = B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 130.72/30.18 thf(40,axiom,((! [A:list_char]: ((paraco1480028776le_Pro @ A) != paraco367965286_Truth))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_fm_Odistinct_I1_J)). 130.72/30.18 thf(241,plain,((! [A:list_char]: ~ ((paraco1480028776le_Pro @ A) = paraco367965286_Truth))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 130.72/30.18 thf(242,plain,((~ (? [A:list_char]: ((paraco1480028776le_Pro @ A) = paraco367965286_Truth)))),inference(miniscope,[status(thm)],[241])). 130.72/30.18 thf(243,plain,(! [A:list_char] : ((~ ((paraco1480028776le_Pro @ A) = paraco367965286_Truth)))),inference(cnf,[status(esa)],[242])). 130.72/30.18 thf(244,plain,(! [A:list_char] : (((paraco1480028776le_Pro @ A) != paraco367965286_Truth))),inference(lifteq,[status(thm)],[243])). 130.72/30.18 thf(56,axiom,((produc234482697lle_tv = (^ [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_case__bool__if)). 130.72/30.18 thf(298,plain,(((produc234482697lle_tv) = (^ [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 130.72/30.18 thf(84,axiom,((! [A:$o]: ((A = $true) | (A = $false)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T)). 130.72/30.18 thf(444,plain,($true),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 130.72/30.18 thf(18,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc211755292lle_tv @ (produc2058540732lle_tv @ A @ B)) = (produc2058540732lle_tv @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_swap__simp)). 130.72/30.18 thf(149,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((produc211755292lle_tv @ (produc2058540732lle_tv @ A @ B)) = (produc2058540732lle_tv @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 130.72/30.18 thf(289,plain,((~ (? [A:list_char,B:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) = (paraco445776468le_Neg @ B))))),inference(miniscope,[status(thm)],[288])). 130.72/30.18 thf(290,plain,(! [B:paraco1604210848lle_fm,A:list_char] : ((~ ((paraco1480028776le_Pro @ A) = (paraco445776468le_Neg @ B))))),inference(cnf,[status(esa)],[289])). 130.72/30.18 thf(291,plain,(! [B:paraco1604210848lle_fm,A:list_char] : (((paraco1480028776le_Pro @ A) != (paraco445776468le_Neg @ B)))),inference(lifteq,[status(thm)],[290])). 130.72/30.18 thf(52,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((~ ((B != D) <= (A = C))) <= ((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_Pair__inject)). 130.72/30.18 thf(281,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (~ (~ (B = D) | ~ (A = C)) | ~ ((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 130.72/30.18 thf(202,plain,((~ (? [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) = (paraco1389086619le_Eql @ B @ C))))),inference(miniscope,[status(thm)],[201])). 130.72/30.18 thf(203,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : ((~ ((paraco1480028776le_Pro @ A) = (paraco1389086619le_Eql @ B @ C))))),inference(cnf,[status(esa)],[202])). 130.72/30.18 thf(204,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : (((paraco1480028776le_Pro @ A) != (paraco1389086619le_Eql @ B @ C)))),inference(lifteq,[status(thm)],[203])). 130.72/30.18 thf(85,axiom,((paraco1325918602e_eval = (^ [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: (paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ (paraco445776468le_Neg @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_double__negation)). 130.72/30.18 thf(445,plain,(((paraco1325918602e_eval) = (^ [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: (paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ (paraco445776468le_Neg @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 130.72/30.18 thf(61,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (((paraco445776468le_Neg @ A) = (paraco445776468le_Neg @ B)) = (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_fm_Oinject_I2_J)). 130.72/30.18 thf(313,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (((paraco445776468le_Neg @ A) = (paraco445776468le_Neg @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 130.72/30.18 thf(16,axiom,((produc724036226lle_tv = (^ [A:(produc1647334210lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_curry__def)). 130.72/30.18 thf(144,plain,(((produc724036226lle_tv) = (^ [A:(produc1647334210lle_tv > paraco1605129243lle_tv),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 130.72/30.18 thf(67,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) != (paraco1745535428le_Eql @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_fm_Odistinct_I23_J)). 130.72/30.18 thf(332,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco445776468le_Neg @ A) = (paraco1745535428le_Eql @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 130.72/30.18 thf(333,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) = (paraco1745535428le_Eql @ B @ C))))),inference(miniscope,[status(thm)],[332])). 130.72/30.18 thf(334,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ ((paraco445776468le_Neg @ A) = (paraco1745535428le_Eql @ B @ C))))),inference(cnf,[status(esa)],[333])). 130.72/30.18 thf(335,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco445776468le_Neg @ A) != (paraco1745535428le_Eql @ B @ C)))),inference(lifteq,[status(thm)],[334])). 130.72/30.18 thf(111,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : (((A) = (C)) | (~ ((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D))))),inference(cnf,[status(esa)],[110])). 130.72/30.18 thf(113,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : (((A) = (C)) | ((produc1710735575lle_fm @ (A) @ B) != (produc1710735575lle_fm @ (C) @ D)))),inference(lifteq,[status(thm)],[111])). 130.72/30.18 thf(33,axiom,((! [A:($o > paraco1605129243lle_tv),B:(nat > paraco1605129243lle_tv),C:nat]: ((paraco2051596139lle_tv @ A @ B @ (paraco793048302_Indet @ C)) = (B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_tv_Osimps_I6_J)). 130.72/30.18 thf(219,plain,((! [A:($o > paraco1605129243lle_tv),B:(nat > paraco1605129243lle_tv),C:nat]: ((paraco2051596139lle_tv @ (A) @ (B) @ (paraco793048302_Indet @ C)) = (B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 130.72/30.18 thf(1116,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))) | ((produc724036226lle_tv @ (produc192124683lle_tv @ A)) != (produc724036226lle_tv @ B)))),inference(paramod_ordered,[status(thm)],[847,484])). 130.72/30.18 thf(1117,plain,(! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ A @ (produc2058540732lle_tv @ B @ C)))))),inference(pattern_uni,[status(thm)],[1116:[bind(A, $thf(A)),bind(B, $thf(produc192124683lle_tv @ A))]])). 130.72/30.18 thf(79,axiom,((! [A:$o,B:$o]: (((paraco1344940915le_Det @ A) = (paraco1344940915le_Det @ B)) = (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tv_Oinject_I1_J)). 130.72/30.18 thf(410,plain,((! [A:$o,B:$o]: (((paraco1344940915le_Det @ A) = (paraco1344940915le_Det @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 130.72/30.18 thf(413,plain,((((paraco1344940915le_Det @ $true) = (paraco1344940915le_Det @ $false)) = ($true = $false))),inference(instance,[status(thm)],[410])). 130.72/30.18 thf(414,plain,((~ ((paraco1344940915le_Det @ $true) = (paraco1344940915le_Det @ $false)))),inference(simp,[status(thm)],[413])). 130.72/30.18 thf(419,plain,(((paraco1344940915le_Det @ $false) != (paraco1344940915le_Det @ $true))),inference(lifteq,[status(thm)],[414])). 130.72/30.18 thf(3458,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (produc192124683lle_tv @ A @ (produc2058540732lle_tv @ F @ G))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv,F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[1117,3438])). 130.72/30.18 thf(3459,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [G:paraco1605129243lle_tv,H:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ E @ F))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[3458:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(3468,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [G:paraco1605129243lle_tv,H:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ E @ F))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv,E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[3459])). 130.72/30.18 thf(58,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_case__prod__conv)). 130.72/30.18 thf(303,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc1882560353lle_tv @ (A) @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 130.72/30.18 thf(49,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((paraco69239110le_Con @ A @ B) != (paraco1389086619le_Eql @ C @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_fm_Odistinct_I25_J)). 130.72/30.18 thf(271,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ~ ((paraco69239110le_Con @ A @ B) = (paraco1389086619le_Eql @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 130.72/30.18 thf(3514,plain,(! [A:produc1647334210lle_tv] : ((~ (produc852673135e_tv_o @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ($false)) @ A)) | $false)),inference(prim_subst,[status(thm)],[121:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ($false)))]])). 130.72/30.18 thf(3586,plain,(! [A:produc1647334210lle_tv] : ((~ (produc852673135e_tv_o @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ($false)) @ A)))),inference(simp,[status(thm)],[3514])). 130.72/30.18 thf(30,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_old_Oprod_Ocase)). 130.72/30.18 thf(208,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ((produc1882560353lle_tv @ (A) @ (produc2058540732lle_tv @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 130.72/30.18 thf(477,plain,(((paraco327635598_valid) = (^ [A:paraco1604210848lle_fm]: ! [B:(list_char > paraco1605129243lle_tv)]: ((paraco1325918602e_eval @ B @ A) = (paraco1344940915le_Det @ $true))))),inference(lifteq,[status(thm)],[476])). 130.72/30.18 thf(71,axiom,((! [A:(produc1647334210lle_tv > $o),B:produc1647334210lle_tv]: ((! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) => (A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_old_Oprod_Oinducts)). 130.72/30.18 thf(345,plain,((! [A:(produc1647334210lle_tv > $o),B:produc1647334210lle_tv]: ((! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ C @ D))) => (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 130.72/30.18 thf(64,axiom,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (((A @ C) <= (~ (D))) & ((D) => (A @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_bool_Osplit__sel)). 130.72/30.18 thf(323,plain,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:$o]: ((A @ (produc234482697lle_tv @ B @ C @ D)) = (((A @ C) | (D)) & ((D) => (A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 130.72/30.18 thf(848,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc192124683lle_tv @ (produc724036226lle_tv @ A)) = (A)))),inference(rewrite,[status(thm)],[198,493])). 130.72/30.18 thf(153,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: ((paraco1389086619le_Eql @ A @ B) = (paraco1745535428le_Eql @ C @ D))))),inference(miniscope,[status(thm)],[152])). 130.72/30.18 thf(154,plain,(! [D:paraco1604210848lle_fm,C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ ((paraco1389086619le_Eql @ A @ B) = (paraco1745535428le_Eql @ C @ D))))),inference(cnf,[status(esa)],[153])). 130.72/30.18 thf(155,plain,(! [D:paraco1604210848lle_fm,C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco1389086619le_Eql @ A @ B) != (paraco1745535428le_Eql @ C @ D)))),inference(lifteq,[status(thm)],[154])). 130.72/30.18 thf(91,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1325918602e_eval @ A @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ ((paraco1325918602e_eval @ A @ B) = (paraco1325918602e_eval @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_eval__equality__simplify)). 130.72/30.18 thf(462,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1325918602e_eval @ (A) @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 130.72/30.18 thf(59,axiom,((! [A:produc1647334210lle_tv]: ~ (! [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A != (produc2058540732lle_tv @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_old_Oprod_Oexhaust)). 130.72/30.18 thf(306,plain,((! [A:produc1647334210lle_tv]: ~ (! [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: ~ (A = (produc2058540732lle_tv @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 130.72/30.18 thf(134,plain,(! [A:produc696645085lle_fm] : ((A = (produc1710735575lle_fm @ (sk9 @ A) @ (sk10 @ A))))),inference(cnf,[status(esa)],[133])). 130.72/30.18 thf(135,plain,(! [A:produc696645085lle_fm] : (((produc1710735575lle_fm @ (sk9 @ A) @ (sk10 @ A)) = A))),inference(lifteq,[status(thm)],[134])). 130.72/30.18 thf(761,plain,(! [B:paraco1605129243lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (^ [C:produc1647334210lle_tv]: (B))) | ((A) != (produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))))),inference(paramod_ordered,[status(thm)],[198,730])). 130.72/30.18 thf(762,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[761:[bind(A, $thf(produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B)))),bind(B, $thf(B))]])). 130.72/30.18 thf(775,plain,(! [A:paraco1605129243lle_tv] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(simp,[status(thm)],[762])). 130.72/30.18 thf(2101,plain,(! [A:paraco1605129243lle_tv] : (((produc192124683lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(rewrite,[status(thm)],[775,493])). 130.72/30.18 thf(83,axiom,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv]: ((((A @ B) <= (! [C:nat]: (A @ (paraco793048302_Indet @ C)))) <= (A @ (paraco1344940915le_Det @ $false))) <= (A @ (paraco1344940915le_Det @ $true))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_string__tv_Oinduct)). 130.72/30.18 thf(438,plain,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv]: ((A @ B) | ~ (! [C:nat]: (A @ (paraco793048302_Indet @ C))) | ~ (A @ (paraco1344940915le_Det @ $false)) | ~ (A @ (paraco1344940915le_Det @ $true))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 130.72/30.18 thf(2598,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))))),inference(paramod_ordered,[status(thm)],[1117,2568])). 130.72/30.18 thf(2599,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2598:[bind(A, $thf(produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco793048302_Indet @ B)))),bind(B, $thf(B))]])). 130.72/30.18 thf(2614,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (produc724036226lle_tv @ (^ [D:produc1647334210lle_tv]: (paraco793048302_Indet @ A))) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2599])). 130.72/30.18 thf(76,axiom,((! [A:paraco1605129243lle_tv]: (((~ (! [B:nat]: (A != (paraco793048302_Indet @ B)))) <= (A != (paraco1344940915le_Det @ $false))) <= (A != (paraco1344940915le_Det @ $true))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_string__tv_Ocases)). 130.72/30.18 thf(374,plain,((! [A:paraco1605129243lle_tv]: (~ (! [B:nat]: ~ (A = (paraco793048302_Indet @ B))) | (A = (paraco1344940915le_Det @ $false)) | (A = (paraco1344940915le_Det @ $true))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 130.72/30.18 thf(253,plain,((~ (? [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) = (paraco1745535428le_Eql @ B @ C))))),inference(miniscope,[status(thm)],[252])). 130.72/30.18 thf(254,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : ((~ ((paraco1480028776le_Pro @ A) = (paraco1745535428le_Eql @ B @ C))))),inference(cnf,[status(esa)],[253])). 130.72/30.18 thf(255,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : (((paraco1480028776le_Pro @ A) != (paraco1745535428le_Eql @ B @ C)))),inference(lifteq,[status(thm)],[254])). 130.72/30.18 thf(27,axiom,((produc234482697lle_tv = (^ [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_bool_Ocase__eq__if)). 130.72/30.18 thf(199,plain,(((produc234482697lle_tv) = (^ [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 130.72/30.18 thf(200,plain,(((produc234482697lle_tv) = (^ [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B)))),inference(lifteq,[status(thm)],[199])). 130.72/30.18 thf(487,plain,(! [A:paraco1605129243lle_tv] : (((produc234482697lle_tv @ A) = (^ [B:paraco1605129243lle_tv,C:$o]: (if_Par1134130401lle_tv @ C @ A @ B))))),inference(func_ext,[status(esa)],[200])). 130.72/30.18 thf(122,plain,(! [B:produc1647334210lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))] : ((~ (produc852673135e_tv_o @ (A) @ B)) | (B = (produc2058540732lle_tv @ (sk5 @ B @ (A)) @ (sk6 @ B @ (A)))))),inference(cnf,[status(esa)],[120])). 130.72/30.18 thf(123,plain,(! [B:produc1647334210lle_tv,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > $o))] : (((produc2058540732lle_tv @ (sk5 @ B @ (A)) @ (sk6 @ B @ (A))) = B) | (~ (produc852673135e_tv_o @ (A) @ B)))),inference(lifteq,[status(thm)],[122])). 130.72/30.18 thf(457,plain,(! [A:(list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ (A) @ paraco367965286_Truth) = (paraco1344940915le_Det @ $true)))),inference(cnf,[status(esa)],[456])). 130.72/30.18 thf(458,plain,(! [A:(list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ (A) @ paraco367965286_Truth) = (paraco1344940915le_Det @ $true)))),inference(lifteq,[status(thm)],[457])). 130.72/30.18 thf(2825,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))) | ((produc724036226lle_tv @ (produc192124683lle_tv @ A)) != (produc724036226lle_tv @ (^ [C:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(paramod_ordered,[status(thm)],[847,2809])). 130.72/30.18 thf(2855,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(simp,[status(thm)],[2825])). 130.72/30.18 thf(2863,plain,(! [A:nat] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))) != (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true)))))),inference(simp,[status(thm)],[2855])). 130.72/30.18 thf(55,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:(paraco1605129243lle_tv > paraco1605129243lle_tv),C:(paraco1605129243lle_tv > paraco1605129243lle_tv),D:produc1647334210lle_tv]: ((produc1882560353lle_tv @ A @ (produc1345917071lle_tv @ B @ C @ D)) = (produc1882560353lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A @ (B @ E) @ (C @ F))) @ D)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306_case__prod__map__prod)). 130.72/30.18 thf(295,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:(paraco1605129243lle_tv > paraco1605129243lle_tv),C:(paraco1605129243lle_tv > paraco1605129243lle_tv),D:produc1647334210lle_tv]: ((produc1882560353lle_tv @ (A) @ (produc1345917071lle_tv @ (B) @ (C) @ D)) = (produc1882560353lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A @ (B @ E) @ (C @ F))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 130.72/30.18 thf(60,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_old_Oprod_Oinject)). 130.72/30.18 thf(310,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 130.72/30.18 thf(2725,plain,(! [B:nat,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (produc724036226lle_tv @ A))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)))))),inference(paramod_ordered,[status(thm)],[848,2697])). 130.72/30.18 thf(2726,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2725:[bind(A, $thf(produc192124683lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)))),bind(B, $thf(B))]])). 130.72/30.18 thf(2747,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (produc724036226lle_tv @ (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2726])). 130.72/30.18 thf(2552,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc1882560353lle_tv @ A @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[792,2540])). 130.72/30.18 thf(2553,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2552:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(2569,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2553])). 130.72/30.18 thf(69,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:produc1647334210lle_tv]: ((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ D @ C)) @ (produc211755292lle_tv @ B)) = (produc1882560353lle_tv @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_case__swap)). 130.72/30.18 thf(338,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:produc1647334210lle_tv]: ((produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A @ D @ C)) @ (produc211755292lle_tv @ B)) = (produc1882560353lle_tv @ (A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 130.72/30.18 thf(446,plain,(((^ [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: (paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ (paraco445776468le_Neg @ B)))) = (paraco1325918602e_eval))),inference(lifteq,[status(thm)],[445])). 130.72/30.18 thf(845,plain,(! [A:paraco1605129243lle_tv] : (((produc192124683lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))) = (^ [B:produc1647334210lle_tv]: (A))))),inference(rewrite,[status(thm)],[730,493])). 130.72/30.18 thf(87,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:list_char]: ((paraco1325918602e_eval @ A @ (paraco1480028776le_Pro @ B)) = (A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_eval_Osimps_I1_J)). 130.72/30.18 thf(450,plain,((! [A:(list_char > paraco1605129243lle_tv),B:list_char]: ((paraco1325918602e_eval @ (A) @ (paraco1480028776le_Pro @ B)) = (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 130.72/30.18 thf(2692,plain,(! [C:nat,B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv,F:produc1647334210lle_tv]: (produc1882560353lle_tv @ (^ [G:paraco1605129243lle_tv,H:paraco1605129243lle_tv]: (A)) @ B)) != (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv,F:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) | (A != (paraco793048302_Indet @ C)))),inference(paramod_ordered,[status(thm)],[740,2671])). 130.72/30.18 thf(2693,plain,(! [B:nat,A:produc1647334210lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (produc1882560353lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2692:[bind(A, $thf(paraco793048302_Indet @ D)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(2696,plain,(! [B:nat,A:produc1647334210lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (produc1882560353lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2693])). 130.72/30.18 thf(92,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ A @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true)) <= ((paraco1325918602e_eval @ A @ B) = (paraco1325918602e_eval @ A @ C))) & (((paraco1325918602e_eval @ A @ B) != (paraco1325918602e_eval @ A @ C)) => ((paraco1325918602e_eval @ A @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ $false)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_eval_Osimps_I5_J)). 130.72/30.18 thf(465,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ (A) @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true)) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C))) & ((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C))) => ((paraco1325918602e_eval @ (A) @ (paraco1389086619le_Eql @ B @ C)) = (paraco1344940915le_Det @ $false)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 130.72/30.18 thf(63,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) != (paraco1389086619le_Eql @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_fm_Odistinct_I21_J)). 130.72/30.18 thf(319,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ~ ((paraco445776468le_Neg @ A) = (paraco1389086619le_Eql @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 130.72/30.18 thf(349,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm]: (paraco367965286_Truth = (paraco1745535428le_Eql @ A @ B))))),inference(miniscope,[status(thm)],[348])). 130.72/30.18 thf(350,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ (paraco367965286_Truth = (paraco1745535428le_Eql @ A @ B))))),inference(cnf,[status(esa)],[349])). 130.72/30.18 thf(351,plain,(! [B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco1745535428le_Eql @ A @ B) != paraco367965286_Truth))),inference(lifteq,[status(thm)],[350])). 130.72/30.18 thf(114,plain,(! [B:(list_char > paraco1605129243lle_tv),A:paraco1604210848lle_fm] : (((sk3 @ A @ (produc1710735575lle_fm @ B @ A)) = B))),introduced(tautology,[new_symbols(inverse(produc1710735575lle_fm),[sk3])])). 130.72/30.18 thf(95,axiom,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv]: ((! [C:$o]: (A @ (paraco1344940915le_Det @ C))) => ((A @ B) <= (! [C:nat]: (A @ (paraco793048302_Indet @ C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_tv_Oinduct)). 130.72/30.18 thf(478,plain,((! [A:(paraco1605129243lle_tv > $o),B:paraco1605129243lle_tv]: ((! [C:$o]: (A @ (paraco1344940915le_Det @ C))) => ((A @ B) | ~ (! [C:nat]: (A @ (paraco793048302_Indet @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 130.72/30.18 thf(212,plain,((~ (? [A:list_char,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco1480028776le_Pro @ A) = (paraco69239110le_Con @ B @ C))))),inference(miniscope,[status(thm)],[211])). 130.72/30.18 thf(213,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : ((~ ((paraco1480028776le_Pro @ A) = (paraco69239110le_Con @ B @ C))))),inference(cnf,[status(esa)],[212])). 130.72/30.18 thf(214,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:list_char] : (((paraco1480028776le_Pro @ A) != (paraco69239110le_Con @ B @ C)))),inference(lifteq,[status(thm)],[213])). 130.72/30.18 thf(118,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = (((A) = (C)) & (B = D))))),inference(cnf,[status(esa)],[117])). 130.72/30.18 thf(119,plain,(! [D:paraco1604210848lle_fm,C:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,A:(list_char > paraco1605129243lle_tv)] : ((((produc1710735575lle_fm @ (A) @ B) = (produc1710735575lle_fm @ (C) @ D)) = (((A) = (C)) & (B = D))))),inference(lifteq,[status(thm)],[118])). 130.72/30.18 thf(77,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true)) <= ((paraco1325918602e_eval @ A @ B) = (paraco1325918602e_eval @ A @ C))) & (((paraco1325918602e_eval @ A @ B) != (paraco1325918602e_eval @ A @ C)) => ((((paraco1325918602e_eval @ A @ B) != (paraco1344940915le_Det @ $true)) => ((((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ A @ B)) <= ((paraco1325918602e_eval @ A @ C) = (paraco1344940915le_Det @ $true))) & (((((paraco1325918602e_eval @ A @ B) != (paraco1344940915le_Det @ $false)) => ((((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $false)) <= ((paraco1325918602e_eval @ A @ C) != (paraco1344940915le_Det @ $false))) & (((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ B))) <= ((paraco1325918602e_eval @ A @ C) = (paraco1344940915le_Det @ $false))))) & (((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ C))) <= ((paraco1325918602e_eval @ A @ B) = (paraco1344940915le_Det @ $false)))) <= ((paraco1325918602e_eval @ A @ C) != (paraco1344940915le_Det @ $true))))) & (((paraco1325918602e_eval @ A @ B) = (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ A @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ A @ C)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_eval__equality)). 130.72/30.18 thf(378,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $true)) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C))) & ((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1325918602e_eval @ (A) @ C))) => (((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true))) => ((((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ (A) @ B)) | ~ ((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $true))) & ((((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $false))) => ((((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1344940915le_Det @ $false)) | ((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $false))) & (((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ B))) | ~ ((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $false))))) & (((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ C))) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $false)))) | ((paraco1325918602e_eval @ (A) @ C) = (paraco1344940915le_Det @ $true))))) & (((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ (A) @ (paraco1745535428le_Eql @ B @ C)) = (paraco1325918602e_eval @ (A) @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 130.72/30.18 thf(57,axiom,((! [A:produc1647334210lle_tv]: ? [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A = (produc2058540732lle_tv @ B @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_surj__pair)). 130.72/30.18 thf(300,plain,((! [A:produc1647334210lle_tv]: ? [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A = (produc2058540732lle_tv @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 130.72/30.18 thf(86,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: ((paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ B)) = (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_eval_Osimps_I3_J)). 130.72/30.18 thf(447,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: ((paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ B)) = (paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ (paraco793048302_Indet) @ (paraco1325918602e_eval @ (A) @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 130.72/30.18 thf(46,axiom,((! [A:list_char,B:list_char]: (((paraco1480028776le_Pro @ A) = (paraco1480028776le_Pro @ B)) = (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_fm_Oinject_I1_J)). 130.72/30.18 thf(262,plain,((! [A:list_char,B:list_char]: (((paraco1480028776le_Pro @ A) = (paraco1480028776le_Pro @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 130.72/30.18 thf(17,axiom,((! [A:(produc696645085lle_fm > $o),B:produc696645085lle_fm]: ((A @ B) <= (! [C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (A @ (produc1710735575lle_fm @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_prod__cases)). 130.72/30.18 thf(146,plain,((! [A:(produc696645085lle_fm > $o),B:produc696645085lle_fm]: ((A @ B) | ~ (! [C:(list_char > paraco1605129243lle_tv),D:paraco1604210848lle_fm]: (A @ (produc1710735575lle_fm @ (C) @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 130.72/30.18 thf(48,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((if_Par1134130401lle_tv @ $false @ A @ B) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T)). 130.72/30.18 thf(268,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((if_Par1134130401lle_tv @ $false @ A @ B) = B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 130.72/30.18 thf(193,plain,((~ (? [A:paraco1604210848lle_fm]: (paraco367965286_Truth = (paraco445776468le_Neg @ A))))),inference(miniscope,[status(thm)],[192])). 130.72/30.18 thf(194,plain,(! [A:paraco1604210848lle_fm] : ((~ (paraco367965286_Truth = (paraco445776468le_Neg @ A))))),inference(cnf,[status(esa)],[193])). 130.72/30.18 thf(195,plain,(! [A:paraco1604210848lle_fm] : (((paraco445776468le_Neg @ A) != paraco367965286_Truth))),inference(lifteq,[status(thm)],[194])). 130.72/30.18 thf(2722,plain,(! [B:nat,A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv))] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (produc192124683lle_tv @ A @ (produc2058540732lle_tv @ E @ F))))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv,E:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))) | ((A) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[1117,2697])). 130.72/30.18 thf(2723,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ D @ E))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2722:[bind(A, $thf(^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))),bind(B, $thf(B))]])). 130.72/30.18 thf(2746,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ D @ E))))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:produc1647334210lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2723])). 130.72/30.18 thf(719,plain,(! [B:(produc1647334210lle_tv > paraco1605129243lle_tv),A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ A)) = (B)) | ((A) != (produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D))))))),inference(paramod_ordered,[status(thm)],[198,261])). 130.72/30.18 thf(734,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))))) = (A)))),inference(pre_uni,[status(thm)],[719:[bind(A, $thf(produc1882560353lle_tv @ (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B @ (produc2058540732lle_tv @ C @ D)))))]])). 130.72/30.18 thf(739,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc1882560353lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))))) = (A)))),inference(simp,[status(thm)],[734])). 130.72/30.18 thf(1561,plain,(! [A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc192124683lle_tv @ (produc724036226lle_tv @ (produc1882560353lle_tv @ (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A @ (produc2058540732lle_tv @ B @ C)))))) = (A)))),inference(rewrite,[status(thm)],[739,493])). 130.72/30.18 thf(65,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_prod_Oinject)). 130.72/30.18 thf(326,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv,C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (((produc2058540732lle_tv @ A @ B) = (produc2058540732lle_tv @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 130.72/30.18 thf(125,plain,(! [A:produc1647334210lle_tv] : (((produc211755292lle_tv @ (produc211755292lle_tv @ A)) = A))),inference(cnf,[status(esa)],[124])). 130.72/30.18 thf(126,plain,(! [A:produc1647334210lle_tv] : (((produc211755292lle_tv @ (produc211755292lle_tv @ A)) = A))),inference(lifteq,[status(thm)],[125])). 130.72/30.18 thf(2558,plain,(! [C:nat,B:produc1647334210lle_tv,A:paraco1605129243lle_tv] : (((^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [F:paraco1605129243lle_tv,G:paraco1605129243lle_tv]: (A)) @ B)) != (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | (A != (paraco793048302_Indet @ C)))),inference(paramod_ordered,[status(thm)],[740,2540])). 130.72/30.18 thf(2559,plain,(! [B:nat,A:produc1647334210lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2558:[bind(A, $thf(paraco793048302_Indet @ D)),bind(B, $thf(B)),bind(C, $thf(D))]])). 130.72/30.18 thf(2572,plain,(! [B:nat,A:produc1647334210lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc1882560353lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (paraco793048302_Indet @ B)) @ A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2559])). 130.72/30.18 thf(90,axiom,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((if_Par1134130401lle_tv @ $true @ A @ B) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T)). 130.72/30.18 thf(459,plain,((! [A:paraco1605129243lle_tv,B:paraco1605129243lle_tv]: ((if_Par1134130401lle_tv @ $true @ A @ B) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 130.72/30.18 thf(21,axiom,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:(produc1647334210lle_tv > paraco1605129243lle_tv)]: (((produc1882560353lle_tv @ A) = B) <= (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A @ C @ D) = (B @ (produc2058540732lle_tv @ C @ D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_cond__case__prod__eta)). 130.72/30.18 thf(178,plain,((! [A:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),B:(produc1647334210lle_tv > paraco1605129243lle_tv)]: (((produc1882560353lle_tv @ A) = (B)) | ~ (! [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: ((A @ C @ D) = (B @ (produc2058540732lle_tv @ C @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 130.72/30.18 thf(727,plain,(! [B:paraco1605129243lle_tv,A:(produc1647334210lle_tv > paraco1605129243lle_tv)] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (produc724036226lle_tv @ A))) = (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (B))) | ((A) != (^ [C:produc1647334210lle_tv]: (B))))),inference(paramod_ordered,[status(thm)],[198,141])). 130.72/30.18 thf(728,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(pattern_uni,[status(thm)],[727:[bind(A, $thf(^ [C:produc1647334210lle_tv]: (B)))]])). 130.72/30.18 thf(736,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc1882560353lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(simp,[status(thm)],[728])). 130.72/30.18 thf(1399,plain,(! [A:paraco1605129243lle_tv] : (((produc724036226lle_tv @ (produc192124683lle_tv @ (produc724036226lle_tv @ (^ [B:produc1647334210lle_tv]: (A))))) = (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (A))))),inference(rewrite,[status(thm)],[736,493])). 130.72/30.18 thf(320,plain,((~ (? [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm]: ((paraco445776468le_Neg @ A) = (paraco1389086619le_Eql @ B @ C))))),inference(miniscope,[status(thm)],[319])). 130.72/30.18 thf(321,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : ((~ ((paraco445776468le_Neg @ A) = (paraco1389086619le_Eql @ B @ C))))),inference(cnf,[status(esa)],[320])). 130.72/30.18 thf(322,plain,(! [C:paraco1604210848lle_fm,B:paraco1604210848lle_fm,A:paraco1604210848lle_fm] : (((paraco445776468le_Neg @ A) != (paraco1389086619le_Eql @ B @ C)))),inference(lifteq,[status(thm)],[321])). 130.72/30.18 thf(2543,plain,(! [B:nat,A:paraco1605129243lle_tv] : (((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [E:paraco1605129243lle_tv,F:paraco1605129243lle_tv]: (A)) @ (produc2058540732lle_tv @ C @ D))) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))) | ((^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (A)) != (^ [C:paraco1605129243lle_tv,D:paraco1605129243lle_tv]: (paraco793048302_Indet @ B))))),inference(paramod_ordered,[status(thm)],[956,2540])). 130.72/30.18 thf(2544,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(pattern_uni,[status(thm)],[2543:[bind(A, $thf(paraco793048302_Indet @ C)),bind(B, $thf(C))]])). 130.72/30.18 thf(2563,plain,(! [A:nat] : (((^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (produc192124683lle_tv @ (^ [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: (paraco793048302_Indet @ A)) @ (produc2058540732lle_tv @ B @ C))) != (^ [B:paraco1605129243lle_tv,C:paraco1605129243lle_tv]: (paraco1344940915le_Det @ $true))))),inference(simp,[status(thm)],[2544])). 130.72/30.18 thf(32,axiom,((! [A:(paraco1605129243lle_tv > $o),B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:produc1647334210lle_tv]: ((A @ (produc1882560353lle_tv @ B @ C)) => (~ (! [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: ((C = (produc2058540732lle_tv @ D @ E)) => (~ (A @ (B @ D @ E))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_case__prodE2)). 130.72/30.18 thf(215,plain,((! [A:(paraco1605129243lle_tv > $o),B:(paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv)),C:produc1647334210lle_tv]: ((A @ (produc1882560353lle_tv @ (B) @ C)) => (~ (! [D:paraco1605129243lle_tv,E:paraco1605129243lle_tv]: ((C = (produc2058540732lle_tv @ D @ E)) => (~ (A @ (B @ D @ E))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 130.72/30.18 thf(34,axiom,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco1389086619le_Eql @ A @ B) = (paraco1389086619le_Eql @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_fm_Oinject_I4_J)). 130.72/30.18 thf(222,plain,((! [A:paraco1604210848lle_fm,B:paraco1604210848lle_fm,C:paraco1604210848lle_fm,D:paraco1604210848lle_fm]: (((paraco1389086619le_Eql @ A @ B) = (paraco1389086619le_Eql @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 130.72/30.18 thf(75,axiom,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ B)) = (paraco1344940915le_Det @ $true)) <= ((paraco1325918602e_eval @ A @ B) = (paraco1344940915le_Det @ $false))) & (((paraco1325918602e_eval @ A @ B) != (paraco1344940915le_Det @ $false)) => ((((paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ B)) = (paraco1344940915le_Det @ $false)) <= ((paraco1325918602e_eval @ A @ B) = (paraco1344940915le_Det @ $true))) & (((paraco1325918602e_eval @ A @ (paraco445776468le_Neg @ B)) = (paraco1325918602e_eval @ A @ B)) <= ((paraco1325918602e_eval @ A @ B) != (paraco1344940915le_Det @ $true)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_eval__negation)). 130.72/30.18 thf(364,plain,((! [A:(list_char > paraco1605129243lle_tv),B:paraco1604210848lle_fm]: ((((paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ B)) = (paraco1344940915le_Det @ $true)) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $false))) & ((~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $false))) => ((((paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ B)) = (paraco1344940915le_Det @ $false)) | ~ ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true))) & (((paraco1325918602e_eval @ (A) @ (paraco445776468le_Neg @ B)) = (paraco1325918602e_eval @ (A) @ B)) | ((paraco1325918602e_eval @ (A) @ B) = (paraco1344940915le_Det @ $true)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 130.72/30.18 thf(17935,plain,($false),inference(e,[status(thm)],[4447,138,101,846,249,234,481,352,115,5625,2671,120,142,472,185,288,436,184,110,344,196,2571,189,421,228,316,1931,152,2236,238,121,348,2540,211,3473,3438,106,397,280,2861,956,453,132,133,660,2809,116,428,265,292,248,117,925,201,102,1730,2541,5815,192,429,275,252,2565,2872,493,456,847,484,97,329,1936,3467,156,5502,188,3119,141,476,2613,109,256,124,225,984,129,2697,3476,128,792,360,205,105,244,298,444,149,2568,291,259,281,204,445,313,144,335,181,113,219,1117,419,3468,245,303,271,3586,208,477,345,103,323,848,155,462,306,135,2101,438,241,278,2620,2614,589,374,255,487,123,458,2513,2863,295,4377,310,2747,2569,199,127,338,336,446,143,845,450,2696,465,231,5258,319,351,114,139,478,214,119,378,300,447,410,262,146,341,268,195,2746,1561,2619,326,107,126,136,437,2572,740,332,459,178,1399,322,2672,2563,215,222,364,100])). 130.72/30.18 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 130.72/30.18 % [INFO] Killing All external provers ... 130.72/30.18 WARNING: TreeLimitedRun lost 35.31s, total lost is 35.31s 130.72/30.18 FINAL WATCH: 95.2 CPU 24.0 WC 130.72/30.18 Killed 3 orphans 130.72/30.18 Killed 3 orphans 130.72/30.18 EOF