0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : do_CVC4 %s 0.12/0.33 % Computer : n014.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 11:40:24 EDT 2019 0.12/0.34 % CPUTime : 0.19/0.46 %----Proving TH0_NAR 0.19/0.47 ------- cvc4-thf casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180... 0.19/0.47 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.19/0.52 % SZS status Theorem for theBenchmark 0.19/0.52 % SZS output start Proof for theBenchmark 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (ho_2 k_1 Xy) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (ho_2 k_4 Xy) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (ho_2 k_5 Xy) ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_4 Xy) (ho_2 k_4 Xx)) )) ) 0.19/0.52 ( skv_9 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (ho_2 k_3 Xy) ) 0.19/0.52 ( skv_10 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 skv_6)) ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 skv_6)) ) 0.19/0.52 ( skv_12 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_6) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((z $$unsorted)) (= (ho_2 k_1 z) (ho_2 k_4 z)) ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 Xx)) )) ) 0.19/0.52 ( skv_15 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (ho_2 k_1 Xx)) ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (ho_2 k_3 Xx)) ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_4 Xy) (ho_2 k_4 skv_9)) ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 skv_7)) ) 0.19/0.52 ( skv_19 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_4 Xy) (ho_2 k_4 skv_6)) ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_7) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_21 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (ho_2 k_4 Xx)) ) 0.19/0.52 ( skv_22 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_1 Xx) (ho_2 k_1 Xy)) )) ) 0.19/0.52 ( skv_23 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_23) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_24 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (ho_2 k_5 Xx)) ) 0.19/0.52 ( skv_25 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 skv_15)) ) 0.19/0.52 ( skv_26 ) 0.19/0.52 ) 0.19/0.52 (skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 Xx)) )) ) 0.19/0.52 ( skv_27 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_1 Xx) (ho_2 k_1 Xy)) )) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (ho_2 k_3 Xy) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (ho_2 k_4 Xx)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ( skv_9 ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_4 Xy) (ho_2 k_4 Xx)) )) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (ho_2 k_5 Xy) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_12 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (ho_2 k_3 Xx)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (ho_2 k_1 Xx)) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ( skv_24 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (ho_2 k_4 Xy) ) 0.19/0.52 ( skv_9 ) 0.19/0.52 ( skv_18 ) 0.19/0.52 ( skv_20 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 Xx)) )) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (ho_2 k_5 Xx)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_12 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (ho_2 k_1 Xy) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 Xx)) )) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 0.19/0.52 ( k_1, k_4 ) 0.19/0.52 ( k_4, k_1 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_4 Xy) (ho_2 k_4 skv_9)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ( skv_22 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 skv_6)) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_10 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ( skv_19 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 skv_6)) ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_6) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ( skv_24 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_5 Xy) (ho_2 k_5 skv_15)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_8 ) 0.19/0.52 ( skv_12 ) 0.19/0.52 ( skv_25 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 skv_7)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_10 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ( skv_19 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_7) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ( skv_21 ) 0.19/0.52 ( skv_24 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_1 skv_23) (ho_2 k_1 Xy)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_13 ) 0.19/0.52 ( skv_14 ) 0.19/0.52 ( skv_16 ) 0.19/0.52 ( skv_21 ) 0.19/0.52 ( skv_24 ) 0.19/0.52 ) 0.19/0.52 (instantiation (forall ((Xy $$unsorted)) (= (ho_2 k_3 Xy) (ho_2 k_3 skv_27)) ) 0.19/0.52 ( skv_6 ) 0.19/0.52 ( skv_7 ) 0.19/0.52 ( skv_10 ) 0.19/0.52 ( skv_11 ) 0.19/0.52 ( skv_17 ) 0.19/0.52 ( skv_19 ) 0.19/0.52 ) 0.19/0.52 % SZS output end Proof for theBenchmark 0.19/0.52 EOF