0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_cvc5 %s %d 0.10/0.30 % Computer : n028.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 02:02:50 EDT 2022 0.10/0.30 % CPUTime : 0.14/0.41 %----Proving TH0 0.14/0.53 ------- cvc5-thf casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 0.14/0.53 --- Run --ho-elim --full-saturate-quant at 10... 0.14/0.53 % SZS status Theorem for theBenchmark 0.14/0.53 % SZS output start Proof for theBenchmark 0.14/0.53 (let ((_let_1 (and (@ cP cF) (@ cP cG)))) (let ((_let_2 (not (=> _let_1 (or (@ cP (lambda ((Xx Bool)) (or (@ cF Xx) (@ cG Xx)))) (@ cP (lambda ((Xx Bool)) (or (@ cG Xx) (not (@ cF Xx)))))))))) (let ((_let_3 (ho_4 k_6 BOOLEAN_TERM_VARIABLE_1749))) (let ((_let_4 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_1749))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((z Bool)) (= (ho_4 k_6 z) (ho_4 k_3 z))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (= k_3 k_6))) (let ((_let_9 (not _let_6))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_12 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_13 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool)|) (e Bool) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_15 (forall ((BOUND_VARIABLE_360 Bool)) (= (ho_4 k_3 BOUND_VARIABLE_360) (or (ho_4 k_6 BOUND_VARIABLE_360) (ho_4 k_5 BOUND_VARIABLE_360)))))) (let ((_let_16 (forall ((BOUND_VARIABLE_351 Bool)) (= (ho_4 k_7 BOUND_VARIABLE_351) (or (ho_4 k_5 BOUND_VARIABLE_351) (not (ho_4 k_6 BOUND_VARIABLE_351))))))) (let ((_let_17 (ho_9 k_8 k_7))) (let ((_let_18 (ho_9 k_8 k_3))) (let ((_let_19 (ho_9 k_8 k_5))) (let ((_let_20 (ho_9 k_8 k_6))) (let ((_let_21 (not (=> (and _let_20 _let_19) (or _let_18 _let_17))))) (let ((_let_22 (forall ((BOUND_VARIABLE_360 Bool)) (= (or (@ cF BOUND_VARIABLE_360) (@ cG BOUND_VARIABLE_360)) (ll_2 BOUND_VARIABLE_360))))) (let ((_let_23 (forall ((BOUND_VARIABLE_351 Bool)) (= (or (@ cG BOUND_VARIABLE_351) (not (@ cF BOUND_VARIABLE_351))) (ll_1 BOUND_VARIABLE_351))))) (let ((_let_24 (not (=> _let_1 (or (@ cP ll_2) (@ cP ll_1)))))) (let ((_let_25 (and _let_24 _let_23 _let_22))) (let ((_let_26 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (PREPROCESS :args ((= _let_2 _let_24)))) (PREPROCESS :args ((and _let_23 _let_22)))) :args (_let_25)) (PREPROCESS :args ((= _let_25 (and _let_21 _let_16 _let_15))))) (PREPROCESS :args ((and _let_14 _let_13 _let_11 _let_12)))) :args ((and _let_21 _let_16 _let_15 _let_14 _let_13 _let_11 _let_12))))) (let ((_let_27 (AND_ELIM _let_26 :args (5)))) (let ((_let_28 (_let_11))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_8))) (let ((_let_31 (0))) (let ((_let_32 (AND_ELIM _let_26 :args _let_31))) (let ((_let_33 (NOT_IMPLIES_ELIM1 _let_32))) (let ((_let_34 (AND_ELIM _let_33 :args _let_31))) (let ((_let_35 (NOT_IMPLIES_ELIM2 _let_32))) (let ((_let_36 (NOT_OR_ELIM _let_35 :args _let_31))) (let ((_let_37 (not _let_20))) (let ((_let_38 (OR))) (let ((_let_39 (not _let_18))) (let ((_let_40 (REFL :args (_let_37)))) (let ((_let_41 (TRUE_INTRO (ASSUME :args (_let_20))))) (let ((_let_42 (APPLY_UF ho_9))) (let ((_let_43 (REFL :args (k_8)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_39)))) (CONG _let_43 (SYMM (SYMM (ASSUME :args (_let_8)))) :args _let_42) _let_41)) :args (_let_20 _let_8 _let_39))) (CONG _let_40 (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_18))) :args _let_38)) :args ((or _let_18 _let_37 _let_30))) _let_36 _let_34 :args (_let_30 true _let_18 false _let_20)))) (let ((_let_45 (IMPLIES))) (let ((_let_46 (NOT))) (let ((_let_47 (EQUAL))) (let ((_let_48 (APPLY_UF ho_4))) (let ((_let_49 (MACRO_SR_PRED_INTRO :args ((= skv_16 BOOLEAN_TERM_VARIABLE_1749))))) (let ((_let_50 (REFL :args (k_3)))) (let ((_let_51 (REFL :args (k_6)))) (let ((_let_52 (_let_9))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (CONG (REFL :args _let_52) (CONG (TRANS (CONG (CONG _let_51 _let_49 :args _let_48) (CONG _let_50 _let_49 :args _let_48) :args _let_47) (REWRITE :args ((= _let_3 _let_4)))) :args _let_46) :args _let_45))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) (REFL :args (_let_7)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_8 _let_9 (not _let_10)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (k_6 k_3 QUANTIFIERS_INST_ENUM)) :args _let_28))) _let_27 :args (_let_10 false _let_11)) :args (_let_9 true _let_8 false _let_10)) :args (_let_7 true _let_6)))) (let ((_let_54 (ho_4 k_6 BOOLEAN_TERM_VARIABLE_1413))) (let ((_let_55 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_735))) (let ((_let_56 (ho_4 k_6 BOOLEAN_TERM_VARIABLE_735))) (let ((_let_57 ((= BOOLEAN_TERM_VARIABLE_735 false)))) (let ((_let_58 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_57) (REWRITE :args _let_57)))) (let ((_let_59 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_735))) (let ((_let_60 (or _let_56 _let_59))) (let ((_let_61 (= _let_60 _let_55))) (let ((_let_62 (AND_ELIM _let_26 :args (2)))) (let ((_let_63 (MACRO_SR_PRED_INTRO :args ((= false BOOLEAN_TERM_VARIABLE_735))))) (let ((_let_64 (REFL :args (k_5)))) (let ((_let_65 (CONG _let_64 _let_63 :args _let_48))) (let ((_let_66 (CONG _let_51 _let_63 :args _let_48))) (let ((_let_67 (_let_15))) (let ((_let_68 (REFL :args _let_67))) (let ((_let_69 (false QUANTIFIERS_INST_ENUM))) (let ((_let_70 (ASSUME :args _let_67))) (let ((_let_71 (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_70 :args _let_69) :args _let_67) (CONG _let_68 (TRANS (CONG (CONG _let_50 _let_63 :args _let_48) (CONG _let_66 _let_65 :args _let_38) :args _let_47) (REWRITE :args ((= _let_55 _let_60)))) :args _let_45))))) (let ((_let_72 (ite (= _let_20 BOOLEAN_TERM_VARIABLE_735) _let_18 _let_56))) (let ((_let_73 (ho_4 skv_22 BOOLEAN_TERM_VARIABLE_735))) (let ((_let_74 (= _let_72 _let_73))) (let ((_let_75 (= _let_20 BOOLEAN_TERM_VARIABLE_2445))) (let ((_let_76 (ho_4 k_6 BOOLEAN_TERM_VARIABLE_2445))) (let ((_let_77 (ite _let_75 _let_18 _let_76))) (let ((_let_78 (ho_4 skv_22 BOOLEAN_TERM_VARIABLE_2445))) (let ((_let_79 (= _let_77 _let_78))) (let ((_let_80 (forall ((ii Bool)) (= (ite (= (ho_9 k_8 k_6) ii) (ho_9 k_8 k_3) (ho_4 k_6 ii)) (ho_4 skv_22 ii))))) (let ((_let_81 (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_4 v ii) (ite (= (ho_9 k_8 k_6) ii) (ho_9 k_8 k_3) (ho_4 k_6 ii)))))))) (let ((_let_82 (not _let_81))) (let ((_let_83 (_let_12))) (let ((_let_84 (_let_80))) (let ((_let_85 (_let_82))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85) (REWRITE :args ((=> _let_82 (not (not (forall ((ii Bool)) (= (ho_4 skv_22 ii) (ite (= (ho_9 k_8 k_6) ii) (ho_9 k_8 k_3) (ho_4 k_6 ii))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) (REFL :args _let_84) :args _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (k_6 _let_18 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_83)) (AND_ELIM _let_26 :args (6)) :args (_let_82 false _let_12)) :args (_let_80 true _let_81)))) (let ((_let_87 ((ho_4 k_6 ii)))) (let ((_let_88 (ASSUME :args _let_84))) (let ((_let_89 (not _let_73))) (let ((_let_90 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_2445))) (let ((_let_91 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_2445))) (let ((_let_92 (= _let_90 _let_91))) (let ((_let_93 (or _let_76 _let_91))) (let ((_let_94 (= _let_90 _let_93))) (let ((_let_95 (forall ((z Bool)) (= (ho_4 k_5 z) (ho_4 k_3 z))))) (let ((_let_96 (not _let_92))) (let ((_let_97 (= k_3 k_5))) (let ((_let_98 (not _let_95))) (let ((_let_99 (or _let_98 _let_97))) (let ((_let_100 (ho_9 skv_13 k_5))) (let ((_let_101 (ho_9 skv_13 k_3))) (let ((_let_102 (not _let_97))) (let ((_let_103 (ite (= k_5 k_6) _let_20 _let_19))) (let ((_let_104 (= _let_100 _let_103))) (let ((_let_105 (forall ((ii |u_(-> Bool Bool)|)) (= (ite (= k_6 ii) (ho_9 k_8 k_6) (ho_9 k_8 ii)) (ho_9 skv_13 ii))))) (let ((_let_106 (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_9 v ii) (ite (= k_6 ii) (ho_9 k_8 k_6) (ho_9 k_8 ii)))))))) (let ((_let_107 (not _let_106))) (let ((_let_108 (_let_13))) (let ((_let_109 (_let_105))) (let ((_let_110 (_let_107))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_107 (not (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_9 skv_13 ii) (ite (= k_6 ii) (ho_9 k_8 k_6) (ho_9 k_8 ii))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) (REFL :args _let_109) :args _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_108) :args (k_8 _let_20 k_6 QUANTIFIERS_INST_ENUM)) :args _let_108)) (AND_ELIM _let_26 :args (4)) :args (_let_107 false _let_13)) :args (_let_105 true _let_106)))) (let ((_let_112 ((ho_9 k_8 ii)))) (let ((_let_113 (ASSUME :args _let_109))) (let ((_let_114 (1))) (let ((_let_115 (AND_ELIM _let_33 :args _let_114))) (let ((_let_116 (not _let_19))) (let ((_let_117 (ite _let_8 _let_20 _let_18))) (let ((_let_118 (= _let_101 _let_117))) (let ((_let_119 (not _let_101))) (let ((_let_120 (not _let_117))) (let ((_let_121 (not _let_100))) (let ((_let_122 (MACRO_SR_PRED_INTRO :args ((= skv_20 BOOLEAN_TERM_VARIABLE_2445))))) (let ((_let_123 (_let_98))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_123)) :args _let_123) (CONG (REFL :args _let_123) (CONG (TRANS (CONG (CONG _let_64 _let_122 :args _let_48) (CONG _let_50 _let_122 :args _let_48) :args _let_47) (REWRITE :args ((= _let_91 _let_90)))) :args _let_46) :args _let_45))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_95))) (REFL :args (_let_96)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_97 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE 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:args ((or _let_100 (not _let_103) (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG3 :args (_let_103)) :args ((or _let_37 _let_116 _let_103))) _let_34 _let_115 :args (_let_103 false _let_20 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (k_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_109))) _let_111 :args (_let_104 false _let_105)) :args (_let_100 false _let_103 false _let_104)) :args (_let_102 true _let_101 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (k_5 k_3 QUANTIFIERS_INST_ENUM)) :args _let_28))) _let_27 :args (_let_99 false _let_11)) :args (_let_98 true _let_97 false _let_99)) :args (_let_96 true _let_95)))) (let ((_let_125 (_let_92))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (BOOLEAN_TERM_VARIABLE_2445 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_4 k_3 BOUND_VARIABLE_360)))) :args 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((_let_274 (= _let_272 _let_273))) (let ((_let_275 (not _let_54))) (let ((_let_276 (or _let_271 _let_275))) (let ((_let_277 (ho_4 k_7 BOOLEAN_TERM_VARIABLE_1413))) (let ((_let_278 (= _let_276 _let_277))) (let ((_let_279 (not _let_271))) (let ((_let_280 (CONG _let_51 _let_269 :args _let_48))) (let ((_let_281 (CONG _let_64 _let_269 :args _let_48))) (let ((_let_282 (_let_56 QUANTIFIERS_INST_ENUM))) (let ((_let_283 (MACRO_RESOLUTION_TRUST _let_236 _let_131 :args (_let_144 false _let_90)))) (let ((_let_284 (not BOOLEAN_TERM_VARIABLE_1413))) (let ((_let_285 (REFL :args (_let_284)))) (let ((_let_286 (SYMM (TRUE_INTRO (ASSUME :args (BOOLEAN_TERM_VARIABLE_1413)))))) (let ((_let_287 (TRANS _let_218 _let_286))) (let ((_let_288 (not _let_277))) (let ((_let_289 (not _let_272))) (let ((_let_290 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_70 :args _let_282) :args _let_67) (CONG _let_68 (TRANS (CONG (CONG _let_50 _let_269 :args _let_48) (CONG _let_280 _let_281 :args _let_38) :args _let_47) (REWRITE :args ((= _let_273 _let_272)))) :args _let_45))) _let_62 :args (_let_274 false _let_15)))) (let ((_let_291 (not _let_274))) (let ((_let_292 (not _let_273))) (let ((_let_293 (_let_274))) (let ((_let_294 (REFL :args _let_247))) (let ((_let_295 (and _let_275 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) (let ((_let_296 (TRANS _let_258 _let_286))) (let ((_let_297 (CONG _let_51 _let_296 :args _let_48))) (let ((_let_298 (and _let_292 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) (let ((_let_299 (CONG _let_50 _let_296 :args _let_48))) (let ((_let_300 (MACRO_RESOLUTION_TRUST _let_256 _let_53 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_298)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS _let_299 (FALSE_INTRO (ASSUME :args (_let_292))))) :args (_let_292 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) :args (true _let_298)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_273))) _let_285 _let_294 _let_242 :args _let_38)) :args ((or _let_284 _let_273 _let_241 _let_243))) _let_268 _let_270 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_295)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS _let_297 (FALSE_INTRO (ASSUME :args (_let_275))))) :args (_let_275 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) :args (true _let_295)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_275) _let_54))) _let_285 _let_294 _let_251 :args _let_38)) :args ((or _let_54 _let_284 _let_250 _let_243))) _let_268 _let_270 (REORDERING (CNF_EQUIV_POS2 :args _let_293) :args ((or _let_272 _let_292 _let_291))) _let_290 (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_54 _let_271 _let_289))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_235 (CONG _let_146 _let_287 :args _let_48) (TRUE_INTRO (ASSUME :args (_let_277))))) :args (_let_277 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_4465 _let_169))) (CONG (REFL :args (_let_288)) _let_285 _let_215 _let_232 :args _let_38)) :args ((or _let_288 _let_284 _let_140 _let_211))) _let_270 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_230 _let_225 (FALSE_INTRO (ASSUME :args _let_161)))) :args (_let_144 _let_159 _let_211 _let_141))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_144) _let_59))) _let_160 _let_223 _let_229 :args _let_38)) :args ((or BOOLEAN_TERM_VARIABLE_735 _let_59 BOOLEAN_TERM_VARIABLE_4465 _let_221))) _let_283 _let_58 _let_228 _let_208 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_227 (CONG _let_64 _let_287 :args _let_48) (TRUE_INTRO (ASSUME :args (_let_271))))) :args (_let_271 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_4465 _let_221))) (CONG (REFL :args (_let_279)) _let_285 _let_215 _let_222 :args _let_38)) :args ((or _let_279 _let_284 _let_141 _let_211))) _let_270 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_220 _let_234 (FALSE_INTRO (ASSUME :args _let_233)))) :args (_let_231 _let_159 _let_211 _let_140))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_134))) _let_160 _let_223 _let_213 :args _let_38)) :args ((or BOOLEAN_TERM_VARIABLE_735 _let_134 BOOLEAN_TERM_VARIABLE_4465 _let_169))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_153) :args ((or _let_133 _let_231 _let_151))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_59 _let_152))) _let_265 _let_283 :args (_let_152 false _let_56 true _let_59)) (MACRO_RESOLUTION_TRUST _let_150 _let_145 :args (_let_135 false _let_16)) :args (_let_231 true _let_133 false _let_135)) _let_58 _let_210 _let_208 :args ((or _let_279 _let_169) false BOOLEAN_TERM_VARIABLE_1413 false BOOLEAN_TERM_VARIABLE_4465 true _let_134 true BOOLEAN_TERM_VARIABLE_735 true _let_141 true _let_142)) (REORDERING (CNF_EQUIV_POS1 :args (_let_278)) :args ((or _let_277 (not _let_276) (not _let_278)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE 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(MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_302)) (IMPLIES_ELIM (SCOPE (TRUE_ELIM (TRANS _let_299 (TRUE_INTRO (ASSUME :args (_let_273))))) :args (_let_273 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) :args (true _let_302)) :args ((or _let_284 _let_292 _let_4 _let_243))) _let_270 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_293) :args ((or _let_273 _let_289 _let_291))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_272 0)) :args ((or _let_275 _let_272))) _let_300 :args (_let_272 false _let_54)) _let_290 :args (_let_273 false _let_272 false _let_274)) _let_268 :args (_let_4 false BOOLEAN_TERM_VARIABLE_1413 false _let_273 false BOOLEAN_TERM_VARIABLE_1749)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_301)) (IMPLIES_ELIM (SCOPE (TRUE_ELIM (TRANS _let_297 (TRUE_INTRO (ASSUME :args (_let_54))))) :args (_let_54 BOOLEAN_TERM_VARIABLE_1413 BOOLEAN_TERM_VARIABLE_1749))) :args (true _let_301)) :args ((or _let_275 _let_284 _let_3 _let_243))) _let_300 _let_270 _let_268 :args (_let_3 false _let_54 false BOOLEAN_TERM_VARIABLE_1413 false BOOLEAN_TERM_VARIABLE_1749)) _let_53 :args (false false _let_4 false _let_3 true _let_5)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.14/0.54 % SZS output end Proof for theBenchmark 0.14/0.54 EOF