0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_cvc5 %s %d 0.13/0.35 % Computer : n014.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 03:22:46 EDT 2022 0.13/0.35 % CPUTime : 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF 49.62/49.97 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 49.62/49.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 49.62/49.97 --- Run --no-e-matching --full-saturate-quant at 5... 49.62/49.97 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 49.62/49.97 --- Run --finite-model-find --uf-ss=no-minimal at 5... 49.62/49.97 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 49.62/49.97 --- Run --trigger-sel=max --full-saturate-quant at 5... 49.62/49.97 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5... 49.62/49.97 --- Run --multi-trigger-cache --full-saturate-quant at 5... 49.62/49.97 --- Run --prenex-quant=none --full-saturate-quant at 5... 49.62/49.97 % SZS status Theorem for theBenchmark 49.62/49.97 % SZS output start Proof for theBenchmark 49.62/49.97 (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (p2 X))) (let ((_let_2 (p1 X))) (let ((_let_3 (p3 X))) (let ((_let_4 (p4 X))) (not (or (forall ((Y $$unsorted)) (or (p3 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p3 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y)))))) (p3 Y) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (p1 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p1 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y)))))) (not (r1 X Y))))) (not (and (or _let_1 (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) false)) (p1 Y) (p3 Y) (p4 Y))) (p1 X) (p4 X))) (p3 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (p2 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p2 X))) (not (r1 X Y)))) (p2 X) (p3 X) (p4 X) (not (r1 Y X)))) (p1 Y) (p2 Y))) (not (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))))) (p4 X))) (p1 Y))) (p1 X) (p2 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p2 X) (p4 X) (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y)))) (p1 X) (p3 X))) (not (r1 X Y))))) _let_2) (or _let_3 _let_1 (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p1 X) (p3 X))) (p1 Y) (p2 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (p2 Y) (forall ((X $$unsorted)) (or (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p4 Y))) (p1 X) (p3 X) (p4 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (forall ((Y 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$$unsorted)) (or (not (r1 Y X)) false)) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) _let_2) (or _let_1 _let_2 (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (not (or (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))))) (not (r1 Y X))))) (p1 Y) (p2 Y))))) (or _let_3 (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (not (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (not (or (p4 X) (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) (p1 X) (p2 X) (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p2 Y) (p3 Y))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y))))) _let_2 _let_1 _let_4) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))))) (not (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (or (p2 X) (forall ((Y $$unsorted)) (or (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) false)) (p4 Y) (not (r1 X Y)))) (p1 X))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p1 X) (p2 X) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y)))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (not (r1 Y X)))) (p1 Y) (p2 Y) (not (r1 X Y))))) _let_2 _let_1) (or _let_3 _let_1 _let_2 (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) (p2 X) (p4 X) (not (r1 Y X)))) (p1 Y))) (not (or (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p1 Y) (p2 Y))) (p1 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p1 X) (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) (p2 X) (p4 X))) (p1 Y) (p3 Y))))) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p4 X) (forall ((Y $$unsorted)) (or false (not (r1 X Y)))) (p1 X) (p2 X) (p3 X) (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y) (p4 Y))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (not (forall ((X $$unsorted)) (or (not (or (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not 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(p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) false)))) (p1 X) (p4 X))) (p2 Y))) (not (r1 Y X))))) (p1 Y) (p2 Y) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p3 X))) (p2 Y))) _let_2 _let_1) (or _let_4 _let_3 _let_1 (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p4 X) (not (r1 Y X)))) (p1 Y) (p3 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p4 X) (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p2 Y) (not (r1 X Y)))) (p2 X) (p3 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (not (or (p4 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y)))) (p1 X) (p2 X) (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) false)) (p2 Y) (p3 Y))))) (p4 Y))) (not (r1 Y X))))) (p1 Y) (p4 Y)))) _let_2) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p4 X) (not (r1 Y X)))) (p2 Y) (not (r1 X Y)))) (p1 X) (p3 X) (p4 X))) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) false)) (p1 X) (p2 X) (not (r1 Y X)))) (p3 Y) (p4 Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p1 Y) (not (r1 X Y)))) (not (or (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p3 Y) (p4 Y))) (p1 X) (p2 X) (p3 X))) (p1 Y) (not (r1 X Y)))))) (not (r1 Y X))))) (p1 Y)))) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (forall ((X $$unsorted)) (or false (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y) (not (r1 X Y)))))) (not (r1 X Y)))) _let_2) (or (and (or _let_1 (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))))))) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (r1 Y X))))) (p2 Y)))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (and (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (p2 Y))) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y)) (not (r1 X Y))))) (p2 X) (not (r1 Y X)))))) (or (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 Y X))))))))) (not (and (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (p2 Y))))) (p2 X)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))))))))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))))) (not (r1 X Y))))))) (not (r1 Y X))))) (and (or (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 Y X)))))) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))) (p2 X) (not (r1 Y X))))))))))))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y)))))))))))))) (let ((_let_2 (r1 skv_14 skv_30))) (let ((_let_3 (not _let_2))) (let ((_let_4 (p2 skv_30))) (let ((_let_5 (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y)))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4 _let_3))) (let ((_let_8 (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))))) (let ((_let_9 (or _let_3 _let_8))) (let ((_let_10 (forall ((X $$unsorted)) (or (not (r1 skv_14 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))) (p2 X) (not (r1 skv_14 X)))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_10 _let_13))) (let ((_let_15 (not _let_10))) (let ((_let_16 (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 skv_14 X)))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (p2 skv_14))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (and _let_19 _let_14))) (let ((_let_21 (r1 skv_2 skv_14))) (let ((_let_22 (not _let_21))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (r1 skv_14 X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_18 _let_24 _let_22))) (let ((_let_26 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) (p2 X) (not (r1 skv_14 X)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_18 _let_27 _let_22))) (let ((_let_29 (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (and (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (p2 Y))) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y)) (not (r1 X Y))))) (p2 X) (not (r1 Y X)))))) (or (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 Y X))))))))) (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (p2 Y)))) (not (p2 X))) (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))))) (not (r1 X Y)))))) (not (r1 skv_14 X)))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_22 _let_30 _let_20))) (let ((_let_32 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (and (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (p2 Y))) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y)) (not (r1 X Y))))) (p2 X) (not (r1 Y X)))))) (or (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 Y X))))))))) (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (p2 Y)))) (not (p2 X))) (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))))) (not (r1 X Y)))))) (not (r1 Y X))))) (and (or (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 Y X)))))) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))) (p2 X) (not (r1 Y X))))))))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (not (forall ((X $$unsorted)) (or (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (r1 Y X))))) (p2 Y))))) (let ((_let_35 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (r1 X Y))))))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (and _let_36 _let_34))) (let ((_let_38 (not (p2 skv_2)))) (let ((_let_39 (or (and _let_38 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) _let_37))) (let ((_let_40 (and _let_39 _let_32))) (let ((_let_41 (not _let_32))) (let ((_let_42 (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (not (r1 skv_2 Y)))))) (let ((_let_43 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p2 Y))))) (let ((_let_44 (not (p1 skv_2)))) (let ((_let_45 (not (p3 skv_2)))) (let ((_let_46 (not (p4 skv_2)))) (let ((_let_47 (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) (p2 X) (not (r1 Y X))))) (not (r1 skv_2 Y)))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_42))) (let ((_let_50 (or (forall ((Y $$unsorted)) (or (p3 Y) (not (r1 skv_2 Y)))) (not (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p3 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y)))))) (p3 Y) (not (r1 skv_2 Y))))) _let_49 (not (forall ((Y $$unsorted)) (or (p1 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p1 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y)))))) (not (r1 skv_2 Y))))) (and _let_38 (not (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y) (p4 Y))) (p1 X) (p4 X))) (p3 Y) (not (r1 skv_2 Y))))) (forall ((Y $$unsorted)) (or (p2 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X))) (not (r1 X Y)))) (p2 X) (p3 X) (p4 X) (not (r1 Y X)))) (p1 Y) (p2 Y))) (and (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p4 X))) (p1 Y)))) (not (p1 X)) (not (p2 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y)))) (p1 X) (p3 X))) (not (r1 skv_2 Y)))) _let_44) (and _let_45 _let_38 (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p3 X))) (p1 Y) (p2 Y) (not (r1 skv_2 Y))))) (forall ((Y $$unsorted)) (or (p2 Y) (forall ((X $$unsorted)) (or (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p4 Y))) (p1 X) (p3 X) (p4 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y))))) (p2 Y))) (and (not (p3 X)) (not (p2 X)) (not (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y))))) (not (p1 X))) (not (r1 Y X))))) (p1 Y) (p3 Y) (not (r1 skv_2 Y)))) _let_44) (and _let_46 _let_45 _let_38 (forall ((Y $$unsorted)) (or (p4 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (and (not (p4 X)) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y) (p3 Y) (p4 Y) (not (r1 X Y))))) (not (p1 X)) (not (p2 X)) (not (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p3 X) (p4 X) (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y)))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X))) (p1 Y) (p2 Y) (p3 Y) (not (r1 skv_2 Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y) (p4 Y)))) _let_44) (and (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y))))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p3 X))) (p1 Y) (not (r1 X Y))))))) (forall ((X $$unsorted)) (or (p4 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p3 X) (not (r1 Y X)))) (p1 Y))) (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y)))) _let_44) (and _let_45 _let_44 (not (forall ((Y $$unsorted)) (not (r1 skv_2 Y)))) (forall ((Y $$unsorted)) (or (p3 Y) (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p3 Y) (not (r1 X Y)))) (and (not (p3 X)) (not (p1 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p2 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (not (r1 skv_2 Y)))) _let_38) _let_48 (and (forall ((Y $$unsorted)) (or (p1 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (and (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p1 X)))))) (forall ((X $$unsorted)) (not (r1 Y X))) (not (r1 skv_2 Y)))) (not (forall ((Y $$unsorted)) (not (r1 skv_2 Y)))) _let_44) (and _let_38 _let_44 (not (forall ((Y $$unsorted)) (not (r1 skv_2 Y)))) (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (forall ((X $$unsorted)) (not (r1 Y X))) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (not (r1 Y X))))) (p1 Y) (p2 Y)))) (and _let_45 (not (forall ((Y $$unsorted)) (not (r1 skv_2 Y)))) (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (and (not (p4 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p1 X)) (not (p2 X)) (not (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p3 Y))) (not (r1 Y X))))) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p4 Y) (not (r1 skv_2 Y)))) _let_44 _let_38 _let_46) (and (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (and (not (p2 X)) (not (forall ((Y $$unsorted)) (or (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p4 Y) (not (r1 X Y))))) (not (p1 X))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y)))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (not (r1 Y X)))) (p1 Y) (p2 Y) (not (r1 skv_2 Y)))) _let_44 _let_38) (and _let_45 _let_38 _let_44 (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p4 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y) (p3 Y)))) (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p1 Y))) (and (not (p3 X)) (not (p2 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y)))) (not (p1 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X))) (p1 Y) (p3 Y)))) (and (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (forall ((X $$unsorted)) (or (p4 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p3 X) (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y) (p4 Y)))) (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p1 Y) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X))))))) (forall ((Y $$unsorted)) (or (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p4 Y))) (p2 X) (p3 X) (p4 X))) (not (r1 X Y)))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p2 X) (p3 X) (p4 X))))) _let_44) (and (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y))) (p1 X) (p4 X))) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p4 X) (not (r1 Y X)))) (not (r1 X Y))))) (not (p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p1 X) (p4 X))) (p2 Y))) (not (r1 Y X))))) (p1 Y) (p2 Y) (not (r1 skv_2 Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p3 X))) (p2 Y)))) _let_44 _let_38) (and _let_46 _let_45 _let_38 (not (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p4 X) (not (r1 Y X)))) (p1 Y) (p3 Y) (not (r1 skv_2 Y))))) (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p4 X) (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (not (r1 X Y)))) (p2 X) (p3 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (and (not (p4 X)) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y))))) (not (p1 X)) (not (p2 X)) (not (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p3 Y))))) (p4 Y))) (not (r1 Y X))))) (p1 Y) (p4 Y))) _let_44) (and (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p4 X) (not (r1 Y X)))) (p2 Y) (not (r1 X Y)))) (p1 X) (p3 X) (p4 X))) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (not (r1 Y X)))) (p3 Y) (p4 Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p1 Y) (not (r1 X Y)))) (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p3 Y) (p4 Y))) (p1 X) (p2 X) (p3 X))) (p1 Y) (not (r1 X Y)))))) (not (r1 Y X))))) (p1 Y))) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y) (p3 Y) (not (r1 X Y)))))) (not (r1 skv_2 Y))))) _let_44) _let_40 (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p1 Y))) _let_43))) (let ((_let_51 (forall ((X $$unsorted)) (let ((_let_1 (not (p2 X)))) (let ((_let_2 (not (p1 X)))) (let ((_let_3 (not (p3 X)))) (let ((_let_4 (not (p4 X)))) (or (forall ((Y $$unsorted)) (or (p3 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p3 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y)))))) (p3 Y) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (p1 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p1 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y)))))) (not (r1 X Y))))) (and _let_1 (not (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y) (p4 Y))) (p1 X) (p4 X))) (p3 Y) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (p2 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X))) (not (r1 X Y)))) (p2 X) (p3 X) (p4 X) (not (r1 Y X)))) (p1 Y) (p2 Y))) (and (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p4 X))) (p1 Y)))) (not (p1 X)) (not (p2 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y)))) (p1 X) (p3 X))) (not (r1 X Y)))) _let_2) (and _let_3 _let_1 (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p3 X))) (p1 Y) (p2 Y) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (p2 Y) (forall ((X $$unsorted)) (or (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p4 Y))) (p1 X) (p3 X) (p4 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y))))) (p2 Y))) (and (not (p3 X)) (not (p2 X)) (not (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (not (r1 Y X)))) (p2 Y) (p4 Y) (not (r1 X Y))))) (not (p1 X))) (not (r1 Y X))))) (p1 Y) (p3 Y) (not (r1 X Y)))) _let_2) (and _let_4 _let_3 _let_1 (forall ((Y $$unsorted)) (or (p4 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (and (not (p4 X)) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y) (p3 Y) (p4 Y) (not (r1 X Y))))) (not (p1 X)) (not (p2 X)) (not (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p3 X) (p4 X) (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y)))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X))) (p1 Y) (p2 Y) (p3 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p3 Y) (p4 Y)))) _let_2) (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y))))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p3 X))) (p1 Y) (not (r1 X Y))))))) (forall ((X $$unsorted)) (or (p4 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p3 X) (not (r1 Y X)))) (p1 Y))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y)))) _let_2) (and _let_3 _let_2 (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (p3 Y) (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p3 Y) (not (r1 X Y)))) (and (not (p3 X)) (not (p1 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p2 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (not (r1 X Y)))) _let_1) (not (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) (p2 X) (not (r1 Y X))))) (not (r1 X Y))))) (and (forall ((Y $$unsorted)) (or (p1 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (and (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p1 X)))))) (forall ((X $$unsorted)) (not (r1 Y X))) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) _let_2) (and _let_1 _let_2 (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (not (r1 Y X))) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (not (r1 Y X))))) (p1 Y) (p2 Y)))) (and _let_3 (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (p3 Y) (p1 Y) (not (forall ((X $$unsorted)) (or (and (not (p4 X)) (not (forall ((Y $$unsorted)) (not (r1 X Y)))) (not (p1 X)) (not (p2 X)) (not (p3 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p3 Y))) (not (r1 Y X))))) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p4 Y) (not (r1 X Y)))) _let_2 _let_1 _let_4) (and (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X)))))) (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (and (not (p2 X)) (not (forall ((Y $$unsorted)) (or (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p4 Y) (not (r1 X Y))))) (not (p1 X))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y)))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (p4 X) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (not (r1 Y X)))) (p1 Y) (p2 Y) (not (r1 X Y)))) _let_2 _let_1) (and _let_3 _let_1 _let_2 (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y) (p3 Y)))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X) (not (r1 Y X)))) (p1 Y))) (and (not (p3 X)) (not (p2 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y)))) (not (p1 X))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p2 X) (p4 X))) (p1 Y) (p3 Y)))) (and (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (p4 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p3 X) (not (r1 Y X)))) (p1 Y) (p2 Y) (p3 Y) (p4 Y)))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p3 X) (p2 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X))))))) (forall ((Y $$unsorted)) (or (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (p4 Y))) (p2 X) (p3 X) (p4 X))) (not (r1 X Y)))) (not (r1 Y X))))) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p1 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p2 X) (p3 X) (p4 X))))) _let_2) (and (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p1 Y) (p2 Y))) (p1 X) (p4 X))) (not (forall ((X $$unsorted)) (or (and (not (p1 X)) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (or (p3 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p1 X) (p2 X) (p4 X) (not (r1 Y X)))) (not (r1 X Y))))) (not (p2 X))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p2 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))))) (p1 X) (p4 X))) (p2 Y))) (not (r1 Y X))))) (p1 Y) (p2 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p4 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p3 X))) (p2 Y)))) _let_2 _let_1) (and _let_4 _let_3 _let_1 (not (forall ((Y $$unsorted)) (or (p4 Y) (p2 Y) (forall ((X $$unsorted)) (or (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p4 X) (not (r1 Y X)))) (p1 Y) (p3 Y) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p3 Y) (p2 Y) (forall ((X $$unsorted)) (or (p4 X) (p1 X) (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (p1 Y) (forall ((X $$unsorted)) (not (r1 Y X))) (p2 Y) (not (r1 X Y)))) (p2 X) (p3 X) (not (r1 Y X)))) (not (forall ((X $$unsorted)) (or (and (not (p4 X)) (not (forall ((Y $$unsorted)) (or (p4 Y) (p3 Y) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p3 X) (p2 X) (p1 X) (forall ((Y $$unsorted)) (not (r1 X Y))) (p4 X))) (p1 Y) (p2 Y) (not (r1 X Y))))) (not 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(let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (OR))) (let ((_let_55 (not _let_51))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_55))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) (REFL :args (_let_52)) :args _let_54)) _let_53 :args (_let_52 true _let_51)))) (let ((_let_57 (REFL :args (_let_50)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 2)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_42))) :args _let_54)) :args ((or _let_42 _let_50))) _let_56 :args (_let_42 true _let_50)))) (let ((_let_59 (forall ((X $$unsorted)) (or (not (r1 skv_5 X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (r1 X Y))))))))) (let ((_let_60 (r1 skv_2 skv_5))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (not _let_62))) (let ((_let_64 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) (p2 X) (not (r1 skv_5 X)))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (p2 skv_5))) (let ((_let_67 (or _let_66 _let_65 _let_61))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 9)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_54)) :args ((or _let_47 _let_50))) _let_56 :args (_let_47 true _let_50)))) (let ((_let_69 (_let_47))) (let ((_let_70 ((not (= (p2 Y) true))))) (let ((_let_71 (ASSUME :args _let_69))) (let ((_let_72 (or _let_61 _let_66))) (let ((_let_73 (not _let_72))) (let ((_let_74 (not _let_43))) (let ((_let_75 (_let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_43))) (REFL :args (_let_73)) :args _let_54)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 21)) _let_56 :args (_let_74 true _let_50)) :args (_let_73 true _let_43)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 0)) (CONG (REFL :args (_let_72)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_54)) :args ((or _let_60 _let_72))) _let_76 :args (_let_60 true _let_72)))) (let ((_let_78 (_let_35))) (let ((_let_79 (not _let_34))) (let ((_let_80 (_let_37))) (let ((_let_81 (_let_41))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_81)) :args _let_81)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_32))) (REFL :args (_let_33)) :args _let_54)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 19)) _let_56 :args ((not _let_40) true _let_50)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_80) (CONG (REFL :args _let_80) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) (REFL :args (_let_79)) :args _let_54)) :args ((or _let_35 _let_37 _let_79))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (r1 skv_2 Y) false))))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_59 _let_63))) _let_77 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_64 (= Y Y) (= X X) (= X X))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (p2 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X))))))) (p2 X) (not (r1 skv_5 X)))) _let_59) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_61 _let_66 _let_65 (not _let_67)))) _let_77 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 1)) _let_76 :args ((not _let_66) true _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_67 false _let_47)) :args (_let_65 false _let_60 true _let_66 false _let_67)) :args ((not _let_59) true _let_64)) :args (_let_63 false _let_60 true _let_59)) :args (_let_36 true _let_62)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_42 (= X X) (= Y Y) (= Y Y))) (MACRO_SR_PRED_INTRO :args ((= (forall ((Y $$unsorted)) (or (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (not (r1 skv_2 Y)))) _let_34) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_58 :args (_let_34 false _let_42)) :args (_let_37 true _let_35 false _let_34)) :args (_let_39 false _let_37)) :args (_let_41 true _let_40 false _let_39)) :args (_let_33 true _let_32)))) (let ((_let_83 (REFL :args (_let_31)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_54)) :args ((or _let_21 _let_31))) _let_82 :args (_let_21 true _let_31)))) (let ((_let_85 (_let_42))) (let ((_let_86 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_54)) :args ((or _let_12 _let_14))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 2)) _let_82 :args ((not _let_20) true _let_31)))) (let ((_let_88 (CNF_AND_NEG :args (_let_20)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_88 _let_87 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 0)) (MACRO_RESOLUTION_TRUST _let_88 _let_87 _let_86 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_54)) :args ((or _let_16 _let_19))) (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_12 (= Y Y) (= X X) (= X X))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))) (p2 X) (not (r1 skv_14 X)))) _let_26) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_16 (= X X) (= Y Y))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))) (not (p2 X)) (not (r1 skv_14 X)))) _let_23) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_22 _let_18 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (skv_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_28 false _let_47)) _let_84 (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_18 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(MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) :args _let_54)) :args ((or _let_2 _let_9))) _let_91 :args (_let_2 true _let_9)))) (let ((_let_93 (_let_12))) (let ((_let_94 (not _let_4))) (let ((_let_95 (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (p2 Y)))))) (let ((_let_96 (and _let_95 _let_94))) (let ((_let_97 (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (p2 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))))))) (let ((_let_98 (and _let_97 (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y))))))) (not (r1 skv_30 Y)))))))) (let ((_let_99 (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (and (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (forall ((X $$unsorted)) (or 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(not (r1 X Y)) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y))))))) (p2 Y))) (not (r1 skv_31 X)))) (not (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p2 X))) (not (p2 Y)) (not (r1 X Y))))) (p2 X) (not (r1 skv_31 X)))))) _let_108))) (let ((_let_110 (r1 skv_30 skv_31))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (not _let_112))) (let ((_let_114 (not _let_109))) (let ((_let_115 (not _let_108))) (let ((_let_116 (forall ((X $$unsorted)) (or (not (r1 skv_31 X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))))))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_111 _let_107 _let_117))) (let ((_let_119 (not _let_118))) (let ((_let_120 (_let_103))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_120)) :args _let_120)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_8))) (REFL :args (_let_119)) :args _let_54)) _let_104 :args (_let_119 true _let_8)))) (let ((_let_122 (REFL :args (_let_118)))) (let ((_let_123 (_let_99))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_3 _let_99 _let_96 _let_98 (not _let_100)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (skv_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (r1 skv_30 Y) false))))) :args _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_109 _let_113))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 0)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_54)) :args ((or _let_110 _let_118))) _let_121 :args (_let_110 true _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 1)) :args ((or _let_108 _let_114))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_106 _let_115))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_118 1)) _let_121 :args ((not _let_107) true _let_118)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_116 (= X X) (= Y Y))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X $$unsorted)) (or (not (r1 skv_31 X)) (not (p2 X)) (forall ((Y $$unsorted)) (or (p2 Y) (not (r1 X Y)))))) _let_105) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 2)) (CONG _let_122 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))) :args _let_54)) :args ((or _let_116 _let_118))) _let_121 :args (_let_116 true _let_118)) :args (_let_105 false _let_116)) :args (_let_115 true _let_107 false _let_105)) :args (_let_114 true _let_108)) :args (_let_113 false _let_110 true _let_109)) :args ((not _let_99) true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_98 0)) :args ((or _let_97 _let_102))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_8 (= X X) (= Y Y) (= Y Y)))) _let_104 :args ((not _let_97) true _let_8)) :args (_let_102 true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_101) :args (skv_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (r1 skv_14 X) false))))) :args _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_54)) :args ((or _let_29 _let_31))) _let_82 :args (_let_29 true _let_31)) :args (_let_100 false _let_29)) :args (_let_96 false _let_2 true _let_99 true _let_98 false _let_100)))) (let ((_let_125 (not _let_96))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_3 _let_4 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_95 (= Y Y) (= X X))) (MACRO_SR_PRED_INTRO :args ((= (forall ((Y $$unsorted)) (or (not (r1 skv_30 Y)) (forall ((X $$unsorted)) (or (p2 X) (not (r1 Y X)))) (not (p2 Y)))) _let_5) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) :args ((or _let_5 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_95 _let_125))) _let_124 :args (_let_95 false _let_96)) :args (_let_5 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_94 _let_125))) _let_124 :args (_let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (skv_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (r1 skv_14 X) false))))) :args _let_93)) (MACRO_RESOLUTION_TRUST _let_86 _let_89 :args (_let_12 true _let_14)) :args (_let_7 false _let_12)) _let_92 :args (false false _let_5 true _let_4 false _let_7 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 49.62/49.99 % SZS output end Proof for theBenchmark 49.62/49.99 EOF