0.03/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.10 % Command : do_CVC4 %s %d 0.10/0.30 % Computer : n009.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 07:28:21 EDT 2020 0.10/0.31 % CPUTime : 0.15/0.41 %----Proving TF0_NAR, FOF, or CNF 0.15/0.41 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.15/0.43 % SZS status Theorem for theBenchmark 0.15/0.43 % SZS output start Proof for theBenchmark 0.15/0.43 (skolem (forall ((A $$unsorted) (E $$unsorted)) (or (not (subset A E)) (equal_set (intersection (difference E A) A) empty_set)) ) 0.15/0.43 ( skv_1 skv_2 ) 0.15/0.43 ) 0.15/0.43 (skolem (forall ((X $$unsorted)) (or (not (member X empty_set)) (member X (intersection (difference skv_2 skv_1) skv_1))) ) 0.15/0.43 ( skv_3 ) 0.15/0.43 ) 0.15/0.43 (skolem (forall ((X $$unsorted)) (or (not (member X skv_2)) (member X skv_1)) ) 0.15/0.43 ( skv_4 ) 0.15/0.43 ) 0.15/0.43 (skolem (forall ((X $$unsorted)) (or (not (member X (intersection (difference skv_2 skv_1) skv_1))) (member X empty_set)) ) 0.15/0.43 ( skv_5 ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (and (member X A) (member X B)) (member X (intersection A B))) ) 0.15/0.43 ( skv_3, (difference skv_2 skv_1), skv_1 ) 0.15/0.43 ( skv_5, (difference skv_2 skv_1), skv_1 ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (member B (difference E A)) (and (member B E) (not (member B A)))) ) 0.15/0.43 ( skv_3, skv_1, skv_2 ) 0.15/0.43 ( skv_5, skv_1, skv_2 ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((X $$unsorted) (A $$unsorted)) (= (member X (power_set A)) (subset X A)) ) 0.15/0.43 ( empty_set, (intersection (difference skv_2 skv_1) skv_1) ) 0.15/0.43 ( skv_1, skv_2 ) 0.15/0.43 ( skv_2, skv_1 ) 0.15/0.43 ( (intersection (difference skv_2 skv_1) skv_1), empty_set ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((X $$unsorted)) (not (member X empty_set)) ) 0.15/0.43 ( skv_3 ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (and (subset A B) (subset B A)) (equal_set A B)) ) 0.15/0.43 ( empty_set, (intersection (difference skv_2 skv_1) skv_1) ) 0.15/0.43 ( skv_1, skv_2 ) 0.15/0.43 ( skv_2, skv_1 ) 0.15/0.43 ( (intersection (difference skv_2 skv_1) skv_1), empty_set ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (subset A B) (forall ((X $$unsorted)) (or (not (member X A)) (member X B)) )) ) 0.15/0.43 ( empty_set, (intersection (difference skv_2 skv_1) skv_1) ) 0.15/0.43 ( skv_1, skv_2 ) 0.15/0.43 ( skv_2, skv_1 ) 0.15/0.43 ( (intersection (difference skv_2 skv_1) skv_1), empty_set ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((X $$unsorted)) (or (not (member X skv_1)) (member X skv_2)) ) 0.15/0.43 ( skv_5 ) 0.15/0.43 ) 0.15/0.43 (instantiation (forall ((X $$unsorted)) (or (not (member X empty_set)) (member X (intersection (difference skv_2 skv_1) skv_1))) ) 0.15/0.43 ( skv_3 ) 0.15/0.43 ) 0.15/0.43 % SZS output end Proof for theBenchmark 0.15/0.43 EOF