0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : do_cvc5 %s %d 0.10/0.30 % Computer : n024.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 02:08:22 EDT 2022 0.10/0.31 % CPUTime : 0.14/0.42 %----Proving TF0_NAR, FOF, or CNF 21.61/22.11 ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p... 21.61/22.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 21.61/22.11 --- Run --no-e-matching --full-saturate-quant at 5... 21.61/22.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 21.61/22.11 --- Run --finite-model-find --uf-ss=no-minimal at 5... 21.61/22.11 % SZS status Theorem for theBenchmark 21.61/22.11 % SZS output start Proof for theBenchmark 21.61/22.11 (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p54 Y))) (not (p42 X)))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p52 Y) (not (r1 X Y)))) (not (p44 X)))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p52 Y))) (not (p42 X)))) (not (r1 Y X)))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p36 Y)) (forall ((X $$unsorted)) (or (p46 X) (not (r1 Y X)))))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p46 X) (not (r1 Y X)))) (not (p32 Y)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p45 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p51 Y))))))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 X Y)))) (not (p43 X)))))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p54 Y))) (not (p41 X)))))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (p53 Y) (not (r1 X Y)))) (not (p41 X)))) (not (r1 Y X))))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p26 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p36 Y))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p36 Y))) (not (p24 X)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p36 Y) (not (r1 X Y)))) (not (p22 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p45 X))) (not (p35 Y))))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (and (not (p35 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p43 X))))) (not (r1 X Y)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p34 Y))) (not (p22 X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (not (p33 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p45 X))))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p26 X)) (forall ((Y $$unsorted)) (or (p32 Y) (not (r1 X Y))))))))))) (not (forall ((Y $$unsorted)) (or (not (and (not (p16 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p14 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X)))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p25 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p35 Y))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p24 X) (not (r1 Y X)))) (not (p14 Y))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p23 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p35 Y))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p34 Y))) (not (p21 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p31 Y) (not (r1 X Y)))) (not (p21 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p15 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p25 X)))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p13 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p25 X)))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p21 X))) (not (p12 Y)))) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (p15 Y) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (p11 Y) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p12 Y))) (forall ((Y $$unsorted)) (or (p13 Y) (not (r1 X Y)))) (not (forall ((Y $$unsorted)) (or (not (and (not (p11 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p23 X))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (and (not (p11 Y)) (forall ((X $$unsorted)) (or (p25 X) (not (r1 Y X)))))) (not (r1 X Y))))) (not 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$$unsorted)) (or (p31 Y) (not (r1 X Y)))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p33 Y))) (not (p23 X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p16 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p24 X)))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p25 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p31 Y))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p33 Y))) (not (p25 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p43 X))) (not (p31 Y)))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X 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$$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p24 X)) (forall ((Y $$unsorted)) (or (p34 Y) (not (r1 X Y)))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p26 X)) (forall ((Y $$unsorted)) (or (p34 Y) (not (r1 X Y)))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 X Y)))) (not (p41 X)))))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p41 X)) (forall ((Y $$unsorted)) (or (p55 Y) (not (r1 X Y)))))) (not (r1 Y X)))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (not (p32 Y)) (forall ((X $$unsorted)) (or (p42 X) (not (r1 Y X)))))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p36 Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p42 X))))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p43 X)) (forall ((Y $$unsorted)) (or (p53 Y) (not (r1 X Y)))))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p55 Y))) (not (p43 X)))) (not (r1 Y X)))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X 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(forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p54 Y))) (not (r1 Y X)))) (not (r1 X Y)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p56 Y))) (not (r1 Y X)))))) (not (r1 Y X)))))))))))))) (let ((_let_2 (forall ((Y $$unsorted) (BOUND_VARIABLE_4855 $$unsorted) (BOUND_VARIABLE_4853 $$unsorted) (BOUND_VARIABLE_4851 $$unsorted) (BOUND_VARIABLE_4849 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4849)) (not (r1 BOUND_VARIABLE_4849 BOUND_VARIABLE_4855)) (not (r1 BOUND_VARIABLE_4855 BOUND_VARIABLE_4851)) (p54 BOUND_VARIABLE_4853) (not (r1 BOUND_VARIABLE_4851 BOUND_VARIABLE_4853)))))) (let ((_let_3 (r1 skv_213 skv_224))) (let ((_let_4 (not _let_3))) (let ((_let_5 (p54 skv_224))) (let ((_let_6 (r1 skv_204 skv_213))) (let ((_let_7 (not _let_6))) (let ((_let_8 (r1 skv_193 skv_204))) (let ((_let_9 (not _let_8))) (let ((_let_10 (r1 skv_4 skv_193))) (let ((_let_11 (not _let_10))) (let ((_let_12 (r1 skv_2 skv_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9 _let_7 _let_5 _let_4))) (let ((_let_15 (p12 skv_4))) (let ((_let_16 (not _let_2))) (let ((_let_17 (forall ((Y $$unsorted) (BOUND_VARIABLE_3626 $$unsorted) (BOUND_VARIABLE_3624 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3624)) (not (forall ((X $$unsorted)) (or (not (r1 BOUND_VARIABLE_3626 X)) (p41 X)))) (p34 BOUND_VARIABLE_3626) (not (r1 BOUND_VARIABLE_3624 BOUND_VARIABLE_3626)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p21 X)))) (p12 Y) (not (r1 skv_2 Y)))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (forall ((Y $$unsorted) (BOUND_VARIABLE_3191 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y 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$$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3039)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_3039 Y)) (p34 Y)))) (p22 BOUND_VARIABLE_3039)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3082 $$unsorted) (BOUND_VARIABLE_3080 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3080)) (p33 BOUND_VARIABLE_3082) (not (forall ((X $$unsorted)) (or (not (r1 BOUND_VARIABLE_3082 X)) (p45 X)))) (not (r1 BOUND_VARIABLE_3080 BOUND_VARIABLE_3082))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3107 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3107)) (p26 BOUND_VARIABLE_3107) (not (forall ((Y $$unsorted)) (or (p32 Y) (not (r1 BOUND_VARIABLE_3107 Y)))))))) (not (forall ((Y $$unsorted)) (or (p16 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X)))) (not (r1 skv_2 Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p14 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X))))))) (not (forall ((Y $$unsorted) 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((Y $$unsorted)) (or (not (forall ((X $$unsorted)) (or (p22 X) (not (r1 Y X))))) (p14 Y) (not (r1 skv_2 Y))))) (not (forall ((Y $$unsorted)) (or (p16 Y) (not (forall ((X $$unsorted)) (or (p22 X) (not (r1 Y X))))) (not (r1 skv_2 Y))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3328 $$unsorted)) (or (not (r1 skv_2 Y)) (p23 BOUND_VARIABLE_3328) (not (forall ((Y $$unsorted)) (or (p31 Y) (not (r1 BOUND_VARIABLE_3328 Y))))) (not (r1 Y BOUND_VARIABLE_3328))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3351 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3351)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_3351 Y)) (p33 Y)))) (p23 BOUND_VARIABLE_3351)))) (not (forall ((Y $$unsorted)) (or (not (r1 skv_2 Y)) (p16 Y) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p24 X))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3379 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3379)) (p25 BOUND_VARIABLE_3379) (not (forall ((Y $$unsorted)) (or (not (r1 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(BOUND_VARIABLE_4044 $$unsorted) (BOUND_VARIABLE_4042 $$unsorted) (BOUND_VARIABLE_4040 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4040)) (not (r1 BOUND_VARIABLE_4040 BOUND_VARIABLE_4044)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4042 Y)) (p55 Y)))) (p43 BOUND_VARIABLE_4042) (not (r1 BOUND_VARIABLE_4044 BOUND_VARIABLE_4042))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4091 $$unsorted) (BOUND_VARIABLE_4089 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4089)) (not (r1 BOUND_VARIABLE_4089 BOUND_VARIABLE_4091)) (p32 BOUND_VARIABLE_4091) (not (forall ((X $$unsorted)) (or (p44 X) (not (r1 BOUND_VARIABLE_4091 X)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4136 $$unsorted) (BOUND_VARIABLE_4134 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4134)) (not (forall ((X $$unsorted)) (or (p44 X) (not (r1 BOUND_VARIABLE_4136 X))))) (p36 BOUND_VARIABLE_4136) (not (r1 BOUND_VARIABLE_4134 BOUND_VARIABLE_4136))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4205 $$unsorted) (BOUND_VARIABLE_4203 $$unsorted) (BOUND_VARIABLE_4201 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4201)) (not (r1 BOUND_VARIABLE_4201 BOUND_VARIABLE_4205)) (not (r1 BOUND_VARIABLE_4205 BOUND_VARIABLE_4203)) (p45 BOUND_VARIABLE_4203) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4203 Y)) (p53 Y))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4276 $$unsorted) (BOUND_VARIABLE_4274 $$unsorted) (BOUND_VARIABLE_4272 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4272)) (not (r1 BOUND_VARIABLE_4272 BOUND_VARIABLE_4276)) (p45 BOUND_VARIABLE_4274) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4274 Y)) (p55 Y)))) (not (r1 BOUND_VARIABLE_4276 BOUND_VARIABLE_4274))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4347 $$unsorted) (BOUND_VARIABLE_4345 $$unsorted) (BOUND_VARIABLE_4343 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4343)) (not (r1 BOUND_VARIABLE_4343 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$$unsorted) (BOUND_VARIABLE_4418 $$unsorted) (BOUND_VARIABLE_4416 $$unsorted) (BOUND_VARIABLE_4414 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4414)) (not (r1 BOUND_VARIABLE_4414 BOUND_VARIABLE_4418)) (p44 BOUND_VARIABLE_4416) (not (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 BOUND_VARIABLE_4416 Y))))) (not (r1 BOUND_VARIABLE_4418 BOUND_VARIABLE_4416))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4489 $$unsorted) (BOUND_VARIABLE_4487 $$unsorted) (BOUND_VARIABLE_4485 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4485)) (not (r1 BOUND_VARIABLE_4485 BOUND_VARIABLE_4489)) (not (r1 BOUND_VARIABLE_4489 BOUND_VARIABLE_4487)) (p46 BOUND_VARIABLE_4487) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4487 Y)) (p54 Y))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4560 $$unsorted) (BOUND_VARIABLE_4558 $$unsorted) (BOUND_VARIABLE_4556 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4556)) (not (r1 BOUND_VARIABLE_4556 BOUND_VARIABLE_4560)) (not (forall ((Y $$unsorted)) (or (p56 Y) (not (r1 BOUND_VARIABLE_4558 Y))))) (p42 BOUND_VARIABLE_4558) (not (r1 BOUND_VARIABLE_4560 BOUND_VARIABLE_4558))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4631 $$unsorted) (BOUND_VARIABLE_4629 $$unsorted) (BOUND_VARIABLE_4627 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4627)) (not (r1 BOUND_VARIABLE_4627 BOUND_VARIABLE_4631)) (not (r1 BOUND_VARIABLE_4631 BOUND_VARIABLE_4629)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4629 Y)) (p56 Y)))) (p44 BOUND_VARIABLE_4629)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4702 $$unsorted) (BOUND_VARIABLE_4700 $$unsorted) (BOUND_VARIABLE_4698 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4698)) (not (r1 BOUND_VARIABLE_4698 BOUND_VARIABLE_4702)) (p46 BOUND_VARIABLE_4700) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_4700 Y)) (p56 Y)))) (not (r1 BOUND_VARIABLE_4702 BOUND_VARIABLE_4700))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4780 $$unsorted) (BOUND_VARIABLE_4778 $$unsorted) (BOUND_VARIABLE_4776 $$unsorted) (BOUND_VARIABLE_4774 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4774)) (not (r1 BOUND_VARIABLE_4774 BOUND_VARIABLE_4780)) (not (r1 BOUND_VARIABLE_4780 BOUND_VARIABLE_4776)) (not (r1 BOUND_VARIABLE_4776 BOUND_VARIABLE_4778)) (p52 BOUND_VARIABLE_4778)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4855 $$unsorted) (BOUND_VARIABLE_4853 $$unsorted) (BOUND_VARIABLE_4851 $$unsorted) (BOUND_VARIABLE_4849 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4849)) (not (r1 BOUND_VARIABLE_4849 BOUND_VARIABLE_4855)) (not (r1 BOUND_VARIABLE_4855 BOUND_VARIABLE_4851)) (p54 BOUND_VARIABLE_4853) (not (r1 BOUND_VARIABLE_4851 BOUND_VARIABLE_4853))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4930 $$unsorted) (BOUND_VARIABLE_4928 $$unsorted) (BOUND_VARIABLE_4926 $$unsorted) (BOUND_VARIABLE_4924 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4924)) (not (r1 BOUND_VARIABLE_4924 BOUND_VARIABLE_4930)) (not (r1 BOUND_VARIABLE_4930 BOUND_VARIABLE_4926)) (not (r1 BOUND_VARIABLE_4926 BOUND_VARIABLE_4928)) (p54 BOUND_VARIABLE_4928)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_5005 $$unsorted) (BOUND_VARIABLE_5003 $$unsorted) (BOUND_VARIABLE_5001 $$unsorted) (BOUND_VARIABLE_4999 $$unsorted)) (or (not (r1 X Y)) (not (r1 Y BOUND_VARIABLE_4999)) (not (r1 BOUND_VARIABLE_4999 BOUND_VARIABLE_5005)) (not (r1 BOUND_VARIABLE_5005 BOUND_VARIABLE_5001)) (not (r1 BOUND_VARIABLE_5001 BOUND_VARIABLE_5003)) (p56 BOUND_VARIABLE_5003)))) (p15 BOUND_VARIABLE_5028) (not (r1 X BOUND_VARIABLE_5028)) (p11 BOUND_VARIABLE_5034) (not (r1 X BOUND_VARIABLE_5034)) (not (r1 X BOUND_VARIABLE_5040)) (p12 BOUND_VARIABLE_5040) (p13 BOUND_VARIABLE_5046) (not (r1 X BOUND_VARIABLE_5046)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (OR))) (let ((_let_30 (not _let_26))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_30))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_29)) _let_28 :args (_let_27 true _let_26)))) (let ((_let_32 (REFL :args (_let_25)))) (let ((_let_33 (not _let_14))) (let ((_let_34 (or _let_4 _let_5))) (let ((_let_35 (forall ((Y $$unsorted)) (or (not (r1 skv_213 Y)) (p54 Y))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (p41 skv_213))) (let ((_let_38 (not _let_35))) (let ((_let_39 (or _let_13 _let_11 _let_9 _let_7 _let_38 _let_37))) (let ((_let_40 (_let_23))) (let ((_let_41 (or _let_7 _let_37))) (let ((_let_42 (forall ((X $$unsorted)) (or (not (r1 skv_204 X)) (p41 X))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (p34 skv_204))) (let ((_let_45 (not _let_42))) (let ((_let_46 (or _let_13 _let_11 _let_45 _let_44 _let_9))) (let ((_let_47 (_let_17))) (let ((_let_48 (or _let_9 _let_44))) (let ((_let_49 (forall ((Y $$unsorted)) (or (not (r1 skv_193 Y)) (p34 Y))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (p21 skv_193))) (let ((_let_52 (not _let_49))) (let ((_let_53 (or _let_13 _let_11 _let_52 _let_51))) (let ((_let_54 (_let_21))) (let ((_let_55 (or _let_11 _let_51))) (let ((_let_56 (forall ((X $$unsorted)) (or (not (r1 skv_4 X)) (p21 X))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (not _let_56))) (let ((_let_59 (or _let_58 _let_15 _let_13))) (let ((_let_60 (_let_19))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 72)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_29)) :args ((or _let_12 _let_25))) _let_31 :args (_let_12 true _let_25)))) (let ((_let_62 (_let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_57)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_13 _let_15 _let_58 (not _let_59)))) _let_61 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 73)) _let_31 :args ((not _let_15) true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (skv_4 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 26)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_29)) :args ((or _let_19 _let_25))) _let_31 :args (_let_19 true _let_25)) :args (_let_59 false _let_19)) :args (_let_58 false _let_12 true _let_15 false _let_59)) :args (_let_57 true _let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_29)) :args ((or _let_10 _let_55))) _let_63 :args (_let_10 true _let_55)))) (let ((_let_65 (_let_52))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_49))) (REFL :args (_let_50)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_13 _let_11 _let_51 _let_52 (not _let_53)))) _let_61 _let_64 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_63 :args ((not _let_51) true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (skv_4 skv_193 QUANTIFIERS_INST_FMF_FMC)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 22)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_29)) :args ((or _let_21 _let_25))) _let_31 :args (_let_21 true _let_25)) :args (_let_53 false _let_21)) :args (_let_52 false _let_12 false _let_10 true _let_51 false _let_53)) :args (_let_50 true _let_49)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_29)) :args ((or _let_8 _let_48))) _let_66 :args (_let_8 true _let_48)))) (let ((_let_68 (_let_45))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_42))) (REFL :args (_let_43)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_13 _let_11 _let_9 _let_44 _let_45 (not _let_46)))) _let_61 _let_64 _let_67 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 1)) _let_66 :args ((not _let_44) true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (skv_4 skv_204 skv_193 QUANTIFIERS_INST_FMF_FMC)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 45)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_29)) :args ((or _let_17 _let_25))) _let_31 :args (_let_17 true _let_25)) :args (_let_46 false _let_17)) :args (_let_45 false _let_12 false _let_10 false _let_8 true _let_44 false _let_46)) :args (_let_43 true _let_42)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_29)) :args ((or _let_6 _let_41))) _let_69 :args (_let_6 true _let_41)))) (let ((_let_71 (_let_38))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_35))) (REFL :args (_let_36)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_13 _let_11 _let_9 _let_7 _let_37 _let_38 (not _let_39)))) _let_61 _let_64 _let_67 _let_70 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_41 1)) _let_69 :args ((not _let_37) true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (skv_4 skv_204 skv_213 skv_193 QUANTIFIERS_INST_FMF_FMC)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 7)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_29)) :args ((or _let_23 _let_25))) _let_31 :args (_let_23 true _let_25)) :args (_let_39 false _let_23)) :args (_let_38 false _let_12 false _let_10 false _let_8 false _let_6 true _let_37 false _let_39)) :args (_let_36 true _let_35)))) (let ((_let_73 (_let_2))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (skv_4 skv_204 skv_224 skv_213 skv_193 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 _let_9 _let_7 _let_4 _let_5 _let_33))) _let_61 _let_64 _let_67 _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_29)) :args ((or _let_3 _let_34))) _let_72 :args (_let_3 true _let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_72 :args ((not _let_5) true _let_34)) :args (_let_33 false _let_12 false _let_10 false _let_8 false _let_6 false _let_3 true _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 65)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_2))) :args _let_29)) :args ((or _let_2 _let_25))) _let_31 :args (_let_2 true _let_25)) :args (false true _let_14 false _let_2)) :args (_let_1 (forall ((X $$unsorted)) (r1 X X)) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 21.61/22.12 % SZS output end Proof for theBenchmark 21.61/22.12 EOF