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   : n164.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 04:39:25 CDT 2018
0.06/0.24	% CPUTime    : 
0.06/0.28	%----Proving without arithmetic mode
0.06/0.28	------- cvc4-fof casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ...
0.06/0.28	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20...
0.06/0.30	% SZS status Theorem for theBenchmark
0.06/0.31	% SZS output start Proof for theBenchmark
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (relation A)) (empty A)) )
0.06/0.31	  ( skv_1 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (empty A) )
0.06/0.31	  ( skv_2 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (empty A)) (not (relation A))) )
0.06/0.31	  ( skv_3 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (relation A)) (not (one_to_one A)) (not (empty A)) (not (function A))) )
0.06/0.31	  ( skv_4 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (one_to_one A)) (not (function A)) (not (relation A))) )
0.06/0.31	  ( skv_5 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (function A)) (not (relation A))) )
0.06/0.31	  ( skv_6 )
0.06/0.31	)
0.06/0.31	(skolem (let ((_let_0 (function D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (relation_of2_as_subset D A B)) (not (quasi_total D A B)) (not _let_0) (not (subset B C)) (and (not (= empty_set A)) (= empty_set B)) (and (quasi_total D A C) (relation_of2_as_subset D A C) _let_0)) ))
0.06/0.31	  ( skv_7 skv_8 skv_9 skv_10 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (relation A)) (not (function A)) (not (empty A))) )
0.06/0.31	  ( skv_11 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (relation_empty_yielding A)) (not (function A)) (not (relation A))) )
0.06/0.31	  ( skv_12 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (not (empty A)) )
0.06/0.31	  ( skv_13 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((A $$unsorted)) (or (not (relation A)) (not (relation_empty_yielding A))) )
0.06/0.31	  ( skv_14 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset skv_1)))) )
0.06/0.31	  ( skv_15 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset skv_2)))) )
0.06/0.31	  ( skv_16 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (relation_dom skv_1))))) )
0.06/0.31	  ( skv_17 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset skv_15)))) )
0.06/0.31	  ( skv_18 )
0.06/0.31	)
0.06/0.31	(skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset skv_16)))) )
0.06/0.31	  ( skv_19 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (not (empty (powerset A))) )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_2 )
0.06/0.31	  ( skv_9 )
0.06/0.31	  ( (cartesian_product2 skv_7 skv_8) )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (relation_of2_as_subset C A B) (relation_of2 C A B)) )
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	  ( skv_7, skv_9, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (element A (powerset B)) (subset A B)) )
0.06/0.31	  ( skv_8, skv_9 )
0.06/0.31	  ( skv_10, (cartesian_product2 skv_7 skv_8) )
0.06/0.31	  ( skv_15, skv_1 )
0.06/0.31	  ( skv_16, skv_2 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (empty B) (empty A) (not (empty (cartesian_product2 A B)))) )
0.06/0.31	  ( skv_7, skv_8 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (not (subset A empty_set)) (= A empty_set)) )
0.06/0.31	  ( skv_8 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (empty A) (not (relation A)) (not (empty (relation_dom A)))) )
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_3 )
0.06/0.31	  ( skv_4 )
0.06/0.31	  ( skv_5 )
0.06/0.31	  ( skv_6 )
0.06/0.31	  ( skv_11 )
0.06/0.31	  ( skv_12 )
0.06/0.31	  ( skv_14 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (empty A) (not (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset A)))) ))) )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_2 )
0.06/0.31	  ( skv_5 )
0.06/0.31	  ( skv_6 )
0.06/0.31	  ( skv_10 )
0.06/0.31	  ( skv_12 )
0.06/0.31	  ( skv_14 )
0.06/0.31	  ( (relation_dom empty_set) )
0.06/0.31	  ( (relation_dom skv_1) )
0.06/0.31	  ( (relation_dom skv_5) )
0.06/0.31	  ( (relation_dom skv_6) )
0.06/0.31	  ( (relation_dom skv_12) )
0.06/0.31	  ( (relation_dom skv_14) )
0.06/0.31	  ( skv_15 )
0.06/0.31	  ( skv_16 )
0.06/0.31	)
0.06/0.31	(instantiation (let ((_let_0 (relation_dom A))) (forall ((A $$unsorted)) (or (not (empty A)) (and (empty _let_0) (relation _let_0))) ))
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_5 )
0.06/0.31	  ( skv_6 )
0.06/0.31	  ( skv_12 )
0.06/0.31	  ( skv_14 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (relation_of2 C A B)) (element (relation_dom_as_subset A B C) (powerset A))) )
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	  ( skv_7, skv_9, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (relation_of2_as_subset C A B)) (element C (powerset (cartesian_product2 A B)))) )
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	  ( skv_7, skv_9, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (relation_of2_as_subset D C A)) (not (subset A B)) (relation_of2_as_subset D C B)) )
0.06/0.31	  ( skv_8, skv_9, skv_7, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (not (empty A)) (relation A)) )
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_3 )
0.06/0.31	  ( skv_4 )
0.06/0.31	  ( skv_10 )
0.06/0.31	  ( skv_11 )
0.06/0.31	  ( skv_13 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (element C (powerset (cartesian_product2 A B)))) (relation C)) )
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (not (empty A)) (= empty_set A)) )
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_3 )
0.06/0.31	  ( skv_4 )
0.06/0.31	  ( skv_11 )
0.06/0.31	  ( skv_13 )
0.06/0.31	)
0.06/0.31	(instantiation (let ((_let_0 (relation A))) (let ((_let_1 (function A))) (forall ((A $$unsorted)) (or (not _let_0) (not _let_1) (not (empty A)) (and _let_0 _let_1 (one_to_one A))) )))
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_3 )
0.06/0.31	  ( skv_4 )
0.06/0.31	  ( skv_5 )
0.06/0.31	  ( skv_6 )
0.06/0.31	  ( skv_10 )
0.06/0.31	  ( skv_11 )
0.06/0.31	  ( skv_12 )
0.06/0.31	  ( skv_13 )
0.06/0.31	  ( skv_14 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (= A B) (not (empty B)) (not (empty A))) )
0.06/0.31	  ( empty_set, empty_set )
0.06/0.31	  ( empty_set, skv_3 )
0.06/0.31	  ( empty_set, skv_4 )
0.06/0.31	  ( skv_3, empty_set )
0.06/0.31	  ( skv_3, skv_3 )
0.06/0.31	  ( skv_3, skv_11 )
0.06/0.31	  ( skv_4, empty_set )
0.06/0.31	  ( skv_4, skv_4 )
0.06/0.31	  ( skv_4, skv_11 )
0.06/0.31	  ( skv_11, skv_3 )
0.06/0.31	  ( skv_11, skv_4 )
0.06/0.31	  ( skv_13, skv_13 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted)) (or (not (empty A)) (function A)) )
0.06/0.31	  ( empty_set )
0.06/0.31	  ( skv_1 )
0.06/0.31	  ( skv_3 )
0.06/0.31	  ( skv_4 )
0.06/0.31	  ( skv_11 )
0.06/0.31	  ( skv_13 )
0.06/0.31	  ( skv_14 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (element A B)) (in A B) (empty B)) )
0.06/0.31	  ( skv_8, (powerset skv_9) )
0.06/0.31	  ( skv_10, (powerset (cartesian_product2 skv_7 skv_8)) )
0.06/0.31	  ( skv_15, (powerset skv_1) )
0.06/0.31	  ( skv_16, (powerset skv_2) )
0.06/0.31	)
0.06/0.31	(instantiation (let ((_let_0 (= empty_set B))) (let ((_let_1 (= empty_set A))) (let ((_let_2 (quasi_total C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (relation_of2_as_subset C A B)) (and (or (not _let_0) _let_1 (= _let_2 (= empty_set C))) (or (and _let_0 (not _let_1)) (= (= A (relation_dom_as_subset A B C)) _let_2)))) ))))
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	  ( skv_7, skv_9, skv_10 )
0.06/0.31	)
0.06/0.31	(instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (relation_of2 C A B)) (= (relation_dom C) (relation_dom_as_subset A B C))) )
0.06/0.31	  ( skv_7, skv_8, skv_10 )
0.06/0.31	  ( skv_7, skv_9, skv_10 )
0.06/0.31	)
0.06/0.31	% SZS output end Proof for theBenchmark
0.06/0.31	EOF