0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.24 % Computer : n062.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:56:40 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.28 %----Proving without arithmetic mode 0.07/0.28 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.07/0.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.07/0.30 % SZS status Theorem for theBenchmark 0.07/0.30 % SZS output start Proof for theBenchmark 0.07/0.30 (skolem (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (subset B E)) (not (subset A E)) (equal_set (difference E (union A B)) (intersection (difference E A) (difference E B)))) ) 0.07/0.30 ( skv_1 skv_2 skv_3 ) 0.07/0.30 ) 0.07/0.30 (skolem (forall ((X $$unsorted)) (or (not (member X skv_3)) (member X skv_1)) ) 0.07/0.30 ( skv_4 ) 0.07/0.30 ) 0.07/0.30 (skolem (forall ((X $$unsorted)) (or (not (member X (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)))) (member X (difference skv_3 (union skv_1 skv_2)))) ) 0.07/0.30 ( skv_5 ) 0.07/0.30 ) 0.07/0.30 (skolem (forall ((X $$unsorted)) (or (not (member X (difference skv_3 (union skv_1 skv_2)))) (member X (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)))) ) 0.07/0.30 ( skv_6 ) 0.07/0.30 ) 0.07/0.30 (skolem (forall ((X $$unsorted)) (or (not (member X skv_3)) (member X skv_2)) ) 0.07/0.30 ( skv_7 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((X $$unsorted) (A $$unsorted)) (= (member X (power_set A)) (subset X A)) ) 0.07/0.30 ( skv_1, skv_3 ) 0.07/0.30 ( skv_2, skv_3 ) 0.07/0.30 ( skv_3, skv_1 ) 0.07/0.30 ( skv_3, skv_2 ) 0.07/0.30 ( (difference skv_3 (union skv_1 skv_2)), (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)) ) 0.07/0.30 ( (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)), (difference skv_3 (union skv_1 skv_2)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (and (subset A B) (subset B A)) (equal_set A B)) ) 0.07/0.30 ( skv_1, skv_3 ) 0.07/0.30 ( skv_2, skv_3 ) 0.07/0.30 ( skv_3, skv_1 ) 0.07/0.30 ( skv_3, skv_2 ) 0.07/0.30 ( (difference skv_3 (union skv_1 skv_2)), (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)) ) 0.07/0.30 ( (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)), (difference skv_3 (union skv_1 skv_2)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (and (member B E) (not (member B A))) (member B (difference E A))) ) 0.07/0.30 ( skv_5, skv_1, skv_3 ) 0.07/0.30 ( skv_5, skv_2, skv_3 ) 0.07/0.30 ( skv_5, (union skv_1 skv_2), skv_3 ) 0.07/0.30 ( skv_6, skv_1, skv_3 ) 0.07/0.30 ( skv_6, skv_2, skv_3 ) 0.07/0.30 ( skv_6, (union skv_1 skv_2), skv_3 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (member X (union A B)) (or (member X B) (member X A))) ) 0.07/0.30 ( skv_5, skv_1, skv_2 ) 0.07/0.30 ( skv_6, skv_1, skv_2 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (member X (intersection A B)) (and (member X A) (member X B))) ) 0.07/0.30 ( skv_5, (difference skv_3 skv_1), (difference skv_3 skv_2) ) 0.07/0.30 ( skv_6, (difference skv_3 skv_1), (difference skv_3 skv_2) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (subset A B) (forall ((X $$unsorted)) (or (not (member X A)) (member X B)) )) ) 0.07/0.30 ( skv_1, skv_3 ) 0.07/0.30 ( skv_2, skv_3 ) 0.07/0.30 ( skv_3, skv_1 ) 0.07/0.30 ( skv_3, skv_2 ) 0.07/0.30 ( (difference skv_3 (union skv_1 skv_2)), (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)) ) 0.07/0.30 ( (intersection (difference skv_3 skv_1) (difference skv_3 skv_2)), (difference skv_3 (union skv_1 skv_2)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((X $$unsorted)) (or (not (member X skv_1)) (member X skv_3)) ) 0.07/0.30 ( skv_5 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((X $$unsorted)) (or (not (member X skv_2)) (member X skv_3)) ) 0.07/0.30 ( skv_5 ) 0.07/0.30 ) 0.07/0.30 % SZS output end Proof for theBenchmark 0.07/0.30 EOF