0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.10 % Command : do_CVC4 %s %d 0.10/0.30 % Computer : n012.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 : Thu Jul 2 07:28:51 EDT 2020 0.10/0.30 % CPUTime : 0.15/0.40 %----Proving TH0 0.15/0.41 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.15/0.41 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.15/0.46 % SZS status Theorem for theBenchmark 0.15/0.46 % SZS output start Proof for theBenchmark 0.15/0.46 (skolem (forall ((BOUND_VARIABLE_475 |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (BOUND_VARIABLE_419 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_506 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_502 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_374 $$unsorted)) (or (not (forall ((Xx0 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_506 Xx0)) (ho_2 BOUND_VARIABLE_502 Xx0)) )) (not (ho_2 (ho_3 BOUND_VARIABLE_475 BOUND_VARIABLE_506) BOUND_VARIABLE_374)) (ho_2 (ho_3 BOUND_VARIABLE_475 BOUND_VARIABLE_502) BOUND_VARIABLE_374)) )) (= (ho_2 (ho_3 BOUND_VARIABLE_475 (ho_5 k_4 BOUND_VARIABLE_475)) BOUND_VARIABLE_419) (not (forall ((BOUND_VARIABLE_468 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_468 Xx0)) (ho_2 (ho_3 BOUND_VARIABLE_475 BOUND_VARIABLE_468) Xx0)) )) (not (ho_2 BOUND_VARIABLE_468 BOUND_VARIABLE_419))) )))) ) 0.15/0.46 ( skv_6 skv_7 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((BOUND_VARIABLE_468 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_468 Xx0)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_468) Xx0)) )) (not (ho_2 BOUND_VARIABLE_468 skv_7))) ) 0.15/0.46 ( skv_8 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 skv_8 Xx0)) (ho_2 (ho_5 k_4 skv_6) Xx0)) ) 0.15/0.46 ( skv_9 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 skv_8 Xx0)) (ho_2 (ho_3 skv_6 skv_8) Xx0)) ) 0.15/0.46 ( skv_10 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx1 $$unsorted)) (let ((_let_0 (ho_3 skv_6 skv_8))) (or (not (ho_2 _let_0 Xx1)) (ho_2 (ho_3 skv_6 _let_0) Xx1))) ) 0.15/0.46 ( skv_11 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (let ((_let_0 (ho_5 k_4 skv_6))) (let ((_let_1 (ho_3 skv_6 _let_0))) (or (not (ho_2 _let_1 Xx0)) (ho_2 (ho_3 skv_6 _let_1) Xx0)))) ) 0.15/0.46 ( skv_12 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 (ho_5 k_4 skv_6) Xx0)) (ho_2 skv_8 Xx0)) ) 0.15/0.46 ( skv_13 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 (ho_3 skv_6 skv_8) Xx0)) (ho_2 skv_8 Xx0)) ) 0.15/0.46 ( skv_14 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((BOUND_VARIABLE_525 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx1 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_525 Xx1)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_525) Xx1)) )) (not (ho_2 BOUND_VARIABLE_525 skv_13))) ) 0.15/0.46 ( skv_15 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 (ho_3 skv_6 (ho_5 k_4 skv_6)) Xx0)) (ho_2 skv_8 Xx0)) ) 0.15/0.46 ( skv_16 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (let ((_let_0 (ho_5 k_4 skv_6))) (or (not (ho_2 _let_0 Xx0)) (ho_2 (ho_3 skv_6 _let_0) Xx0))) ) 0.15/0.46 ( skv_17 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 (ho_3 skv_6 (ho_5 k_4 skv_6)) Xx0)) (ho_2 (ho_3 skv_6 skv_8) Xx0)) ) 0.15/0.46 ( skv_18 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((BOUND_VARIABLE_525 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx1 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_525 Xx1)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_525) Xx1)) )) (not (ho_2 BOUND_VARIABLE_525 skv_17))) ) 0.15/0.46 ( skv_19 ) 0.15/0.46 ) 0.15/0.46 (skolem (forall ((Xx0 $$unsorted)) (or (not (ho_2 skv_19 Xx0)) (ho_2 (ho_5 k_4 skv_6) Xx0)) ) 0.15/0.46 ( skv_20 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((BOUND_VARIABLE_530 |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (BOUND_VARIABLE_450 $$unsorted)) (= (ho_2 (ho_5 k_4 BOUND_VARIABLE_530) BOUND_VARIABLE_450) (not (forall ((BOUND_VARIABLE_525 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx1 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_525 Xx1)) (ho_2 (ho_3 BOUND_VARIABLE_530 BOUND_VARIABLE_525) Xx1)) )) (not (ho_2 BOUND_VARIABLE_525 BOUND_VARIABLE_450))) ))) ) 0.15/0.46 ( skv_6, skv_9 ) 0.15/0.46 ( skv_6, skv_13 ) 0.15/0.46 ( skv_6, skv_17 ) 0.15/0.46 ( skv_6, skv_20 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((BOUND_VARIABLE_506 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_502 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_374 $$unsorted)) (or (not (forall ((Xx0 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_506 Xx0)) (ho_2 BOUND_VARIABLE_502 Xx0)) )) (not (ho_2 (ho_3 skv_6 BOUND_VARIABLE_506) BOUND_VARIABLE_374)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_502) BOUND_VARIABLE_374)) ) 0.15/0.46 ( (ho_5 k_4 skv_6), (ho_5 k_4 skv_6), skv_9 ) 0.15/0.46 ( (ho_5 k_4 skv_6), (ho_3 skv_6 (ho_5 k_4 skv_6)), skv_12 ) 0.15/0.46 ( (ho_5 k_4 skv_6), skv_8, skv_7 ) 0.15/0.46 ( (ho_5 k_4 skv_6), skv_8, skv_9 ) 0.15/0.46 ( (ho_5 k_4 skv_6), skv_8, skv_18 ) 0.15/0.46 ( (ho_3 skv_6 (ho_5 k_4 skv_6)), (ho_3 skv_6 (ho_5 k_4 skv_6)), skv_10 ) 0.15/0.46 ( (ho_3 skv_6 (ho_5 k_4 skv_6)), skv_8, skv_10 ) 0.15/0.46 ( (ho_3 skv_6 (ho_5 k_4 skv_6)), (ho_3 skv_6 skv_8), skv_10 ) 0.15/0.46 ( skv_8, (ho_5 k_4 skv_6), skv_7 ) 0.15/0.46 ( skv_8, skv_8, skv_7 ) 0.15/0.46 ( skv_8, skv_8, skv_9 ) 0.15/0.46 ( skv_8, (ho_3 skv_6 skv_8), skv_11 ) 0.15/0.46 ( (ho_3 skv_6 skv_8), skv_8, skv_10 ) 0.15/0.46 ( (ho_3 skv_6 skv_8), (ho_3 skv_6 skv_8), skv_10 ) 0.15/0.46 ( skv_19, (ho_5 k_4 skv_6), skv_17 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((BOUND_VARIABLE_468 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_468 Xx0)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_468) Xx0)) )) (not (ho_2 BOUND_VARIABLE_468 skv_7))) ) 0.15/0.46 ( (ho_3 skv_6 (ho_5 k_4 skv_6)) ) 0.15/0.46 ( skv_8 ) 0.15/0.46 ( (ho_3 skv_6 skv_8) ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((Xx0 $$unsorted)) (or (not (ho_2 skv_8 Xx0)) (ho_2 (ho_3 skv_6 skv_8) Xx0)) ) 0.15/0.46 ( skv_7 ) 0.15/0.46 ( skv_9 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((BOUND_VARIABLE_525 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx1 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_525 Xx1)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_525) Xx1)) )) (not (ho_2 BOUND_VARIABLE_525 skv_9))) ) 0.15/0.46 ( (ho_3 skv_6 (ho_5 k_4 skv_6)) ) 0.15/0.46 ( skv_8 ) 0.15/0.46 ( (ho_3 skv_6 skv_8) ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((Xx1 $$unsorted)) (or (not (ho_2 skv_15 Xx1)) (ho_2 (ho_3 skv_6 skv_15) Xx1)) ) 0.15/0.46 ( skv_13 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((Xx1 $$unsorted)) (or (not (ho_2 skv_19 Xx1)) (ho_2 (ho_3 skv_6 skv_19) Xx1)) ) 0.15/0.46 ( skv_17 ) 0.15/0.46 ( skv_20 ) 0.15/0.46 ) 0.15/0.46 (instantiation (forall ((BOUND_VARIABLE_525 |u_(-> $$unsorted Bool)|)) (or (not (forall ((Xx1 $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_525 Xx1)) (ho_2 (ho_3 skv_6 BOUND_VARIABLE_525) Xx1)) )) (not (ho_2 BOUND_VARIABLE_525 skv_20))) ) 0.15/0.46 ( skv_19 ) 0.15/0.46 ( (ho_3 skv_6 skv_19) ) 0.15/0.46 ) 0.15/0.46 % SZS output end Proof for theBenchmark 0.15/0.46 EOF