0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : do_CVC4 %s %d
0.12/0.33	% Computer   : n005.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   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Thu Jul  2 07:06:36 EDT 2020
0.12/0.34	% CPUTime    : 
0.19/0.45	%----Proving TF0_ARI
0.19/0.45	------- cvc4-tfa casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960...
0.19/0.45	--- Run --finite-model-find --decision=internal at 15...
0.68/0.91	% SZS status Theorem for theBenchmark
0.68/0.91	% SZS output start Proof for theBenchmark
0.68/0.91	(skolem (forall ((X element) (C set)) (or (member X C) (= (cardinality (union (singleton X) C)) (+ 1 (cardinality C)))) )
0.68/0.91	  ( skv_1 skv_2 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (not (member X skv_2)) )
0.68/0.91	  ( skv_17 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (not (member X (singleton skv_1))) )
0.68/0.91	  ( skv_20 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (not (member X (intersection (singleton skv_1) skv_2))) )
0.68/0.91	  ( skv_21 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (let ((_let_0 (singleton skv_1))) (or (not (member X (intersection _let_0 skv_2))) (member X _let_0))) )
0.68/0.91	  ( skv_22 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (or (not (member X (intersection (singleton skv_1) skv_2))) (member X skv_2)) )
0.68/0.91	  ( skv_23 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (let ((_let_0 (singleton skv_1))) (or (not (member X _let_0)) (member X (intersection _let_0 skv_2)))) )
0.68/0.91	  ( skv_24 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (or (not (member X (singleton skv_1))) (member X skv_2)) )
0.68/0.91	  ( skv_25 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (or (not (member X skv_2)) (member X (intersection (singleton skv_1) skv_2))) )
0.68/0.91	  ( skv_26 )
0.68/0.91	)
0.68/0.91	(skolem (forall ((X element)) (or (not (member X skv_2)) (member X (singleton skv_1))) )
0.68/0.91	  ( skv_27 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (A set) (B set)) (= (and (member X B) (member X A)) (member X (intersection A B))) )
0.68/0.91	  ( skv_1, skv_2, empty_set )
0.68/0.91	  ( skv_1, skv_2, skv_2 )
0.68/0.91	  ( skv_1, skv_2, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_1, (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( skv_1, (singleton skv_1), (union (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (singleton skv_1), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (union (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_1, (union (singleton skv_1) skv_2), (union (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( skv_21, skv_2, skv_2 )
0.68/0.91	  ( skv_21, (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_22, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_22, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_23, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_23, (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( skv_27, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_27, (singleton skv_1), skv_2 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((S set)) (= (= empty_set S) (forall ((X element)) (not (member X S)) )) )
0.68/0.91	  ( empty_set )
0.68/0.91	  ( skv_2 )
0.68/0.91	  ( (singleton skv_1) )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((B element) (A set) (E set)) (= (and (member B E) (not (member B A))) (member B (difference E A))) )
0.68/0.91	  ( skv_1, skv_2, skv_2 )
0.68/0.91	  ( skv_1, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_1, skv_2, (union (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_17, skv_2, skv_2 )
0.68/0.91	  ( skv_21, skv_2, skv_2 )
0.68/0.91	  ( skv_21, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_21, skv_2, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_21, (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( skv_21, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_22, (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( skv_22, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_27, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (S set)) (= (member X S) (not (member X (complement S)))) )
0.68/0.91	  ( skv_1, skv_2 )
0.68/0.91	  ( skv_1, (singleton skv_1) )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_17, (singleton skv_1) )
0.68/0.91	  ( skv_21, skv_2 )
0.68/0.91	  ( skv_21, (singleton skv_1) )
0.68/0.91	  ( skv_22, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_27, (singleton skv_1) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (A set) (B set)) (= (or (member X A) (member X B)) (member X (union A B))) )
0.68/0.91	  ( skv_1, skv_2, skv_2 )
0.68/0.91	  ( skv_1, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_1, skv_2, (union (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_1, (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( skv_1, (singleton skv_1), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_1, (union (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_17, skv_2, skv_2 )
0.68/0.91	  ( skv_17, skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_17, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_17, (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_21, skv_2, skv_2 )
0.68/0.91	  ( skv_21, skv_2, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_21, (singleton skv_1), skv_2 )
0.68/0.91	  ( skv_21, (singleton skv_1), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_21, (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( skv_21, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_21, (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( skv_22, (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( skv_23, (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( skv_27, skv_2, (singleton skv_1) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (S set)) (let ((_let_0 (singleton X))) (= (= (cardinality S) (+ (- 1) (cardinality (union _let_0 S)))) (= empty_set (intersection _let_0 S)))) )
0.68/0.91	  ( skv_1, empty_set )
0.68/0.91	  ( skv_1, skv_2 )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (A element)) (= (= X A) (member X (singleton A))) )
0.68/0.91	  ( skv_1, skv_1 )
0.68/0.91	  ( skv_17, skv_1 )
0.68/0.91	  ( skv_17, skv_17 )
0.68/0.91	  ( skv_21, skv_1 )
0.68/0.91	  ( skv_21, skv_21 )
0.68/0.91	  ( skv_22, skv_1 )
0.68/0.91	  ( skv_24, skv_1 )
0.68/0.91	  ( skv_25, skv_1 )
0.68/0.91	  ( skv_27, skv_1 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((A set) (B set)) (= (= (cardinality A) (+ (* (- 1) (cardinality B)) (cardinality (union A B)))) (= empty_set (intersection A B))) )
0.68/0.91	  ( empty_set, skv_2 )
0.68/0.91	  ( skv_2, empty_set )
0.68/0.91	  ( skv_2, skv_2 )
0.68/0.91	  ( skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_2, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( (singleton skv_1), skv_2 )
0.68/0.91	  ( (singleton skv_1), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element) (S set)) (let ((_let_0 (singleton X))) (= (= (cardinality S) (cardinality (union _let_0 S))) (= _let_0 (intersection _let_0 S)))) )
0.68/0.91	  ( skv_1, skv_2 )
0.68/0.91	  ( skv_1, (singleton skv_1) )
0.68/0.91	  ( skv_1, (intersection (singleton skv_1) skv_2) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((S set)) (= (= (cardinality S) 0) (= empty_set S)) )
0.68/0.91	  ( empty_set )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((S set) (T set)) (let ((_let_0 (intersection S T))) (= (= empty_set _let_0) (= (cardinality _let_0) 0))) )
0.68/0.91	  ( skv_2, skv_2 )
0.68/0.91	  ( (singleton skv_1), skv_2 )
0.68/0.91	  ( (singleton skv_1), (singleton skv_1) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((A set) (B set)) (= (forall ((X element)) (or (not (member X A)) (member X B)) ) (subset A B)) )
0.68/0.91	  ( skv_2, skv_2 )
0.68/0.91	  ( skv_2, (singleton skv_1) )
0.68/0.91	  ( skv_2, (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( (singleton skv_1), skv_2 )
0.68/0.91	  ( (singleton skv_1), (singleton skv_1) )
0.68/0.91	  ( (singleton skv_1), (intersection (singleton skv_1) skv_2) )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), skv_2 )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), (singleton skv_1) )
0.68/0.91	  ( (intersection (singleton skv_1) skv_2), (intersection (singleton skv_1) skv_2) )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element)) (not (member X empty_set)) )
0.68/0.91	  ( skv_1 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element)) (or (not (member X skv_2)) (member X (singleton skv_1))) )
0.68/0.91	  ( skv_17 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element)) (or (not (member X (intersection (singleton skv_1) skv_2))) (member X skv_2)) )
0.68/0.91	  ( skv_21 )
0.68/0.91	)
0.68/0.91	(instantiation (forall ((X element)) (let ((_let_0 (singleton skv_1))) (or (not (member X (intersection _let_0 skv_2))) (member X _let_0))) )
0.68/0.91	  ( skv_17 )
0.68/0.91	  ( skv_21 )
0.68/0.91	)
0.68/0.91	% SZS output end Proof for theBenchmark
0.68/0.91	EOF