0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : do_CVC4 %s %d
0.13/0.34	% Computer   : n020.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Thu Jul  2 06:58:03 EDT 2020
0.13/0.34	% CPUTime    : 
0.19/0.46	%----Proving TF0_ARI
0.19/0.47	------- cvc4-tfa casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.19/0.47	--- Run --finite-model-find --decision=internal at 15...
15.29/15.49	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15...
15.32/15.55	% SZS status Theorem for theBenchmark
15.32/15.55	% SZS output start Proof for theBenchmark
15.32/15.55	(skolem (forall ((U collection) (V Int)) (= (count (add 0 (remove V (add V U)))) (count (add 0 (remove V U)))) )
15.32/15.55	  ( skv_1 skv_2 )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((V Int) (W collection)) (in V (add V W)) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( 0, (remove 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X3 Int) (X4 collection) (X5 Int)) (= (and (in X3 X4) (not (= X3 X5))) (in X3 (remove X5 X4))) )
15.32/15.55	  ( 0, skv_1, skv_2 )
15.32/15.55	  ( 0, (add skv_2 skv_1), skv_2 )
15.32/15.55	  ( skv_2, skv_1, skv_2 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1), skv_2 )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X Int) (Y collection)) (not (in X (remove X Y))) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X6 collection)) (>= (count X6) 0) )
15.32/15.55	  ( skv_1 )
15.32/15.55	  ( (add skv_2 skv_1) )
15.32/15.55	  ( (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 skv_1) )
15.32/15.55	  ( (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( (add 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( (add 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( (add skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( (remove 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( (remove 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( (remove 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 (remove skv_2 skv_1)) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((Z Int) (X1 collection) (X2 Int)) (= (or (= Z X2) (in Z X1)) (in Z (add X2 X1))) )
15.32/15.55	  ( 0, skv_1, skv_2 )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)), 0 )
15.32/15.55	  ( 0, (remove skv_2 skv_1), 0 )
15.32/15.55	  ( 0, (remove skv_2 skv_1), skv_2 )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))), 0 )
15.32/15.55	  ( 0, (remove 0 (remove skv_2 skv_1)), 0 )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 skv_1))), 0 )
15.32/15.55	  ( skv_2, skv_1, skv_2 )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)), skv_2 )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1), skv_2 )
15.32/15.55	  ( skv_2, (remove 0 (remove skv_2 skv_1)), 0 )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X10 Int) (X11 collection)) (= (in X10 X11) (= (count (add X10 X11)) (count X11))) )
15.32/15.55	  ( 0, skv_1 )
15.32/15.55	  ( 0, (add skv_2 skv_1) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( 0, (remove 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X14 Int) (X15 collection)) (= (not (in X14 X15)) (= (count (remove X14 X15)) (count X15))) )
15.32/15.55	  ( 0, skv_1 )
15.32/15.55	  ( 0, (add skv_2 skv_1) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X7 collection)) (= (= empty X7) (= (count X7) 0)) )
15.32/15.55	  ( skv_1 )
15.32/15.55	  ( (add skv_2 skv_1) )
15.32/15.55	  ( (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 skv_1) )
15.32/15.55	  ( (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( (add 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( (add 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( (add skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( (remove 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( (remove 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( (remove 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( (remove skv_2 (remove skv_2 skv_1)) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X12 Int) (X13 collection)) (= (= (count X13) (+ 1 (count (remove X12 X13)))) (in X12 X13)) )
15.32/15.55	  ( 0, skv_1 )
15.32/15.55	  ( 0, (add skv_2 skv_1) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X8 Int) (X9 collection)) (= (not (in X8 X9)) (= (count X9) (+ (- 1) (count (add X8 X9))))) )
15.32/15.55	  ( 0, skv_1 )
15.32/15.55	  ( 0, (add skv_2 skv_1) )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 (add skv_2 skv_1)))) )
15.32/15.55	  ( 0, (remove 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( 0, (remove 0 (add 0 (remove skv_2 skv_1))) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	(instantiation (forall ((X16 Int) (X17 collection)) (or (not (in X16 X17)) (= X17 (add X16 (remove X16 X17)))) )
15.32/15.55	  ( 0, skv_1 )
15.32/15.55	  ( 0, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 (add skv_2 skv_1))) )
15.32/15.55	  ( 0, (remove skv_2 skv_1) )
15.32/15.55	  ( 0, (add 0 (remove skv_2 skv_1)) )
15.32/15.55	  ( skv_2, skv_1 )
15.32/15.55	  ( skv_2, (add skv_2 skv_1) )
15.32/15.55	  ( skv_2, (remove skv_2 (add skv_2 skv_1)) )
15.32/15.55	  ( skv_2, (remove skv_2 skv_1) )
15.32/15.55	)
15.32/15.55	% SZS output end Proof for theBenchmark
15.32/15.55	EOF