0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : do_CVC4 %s %d
0.13/0.34	% Computer   : n026.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
0.13/0.35	% CPULimit   : 960
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Thu Jul  2 07:15:09 EDT 2020
0.13/0.35	% CPUTime    : 
0.19/0.47	%----Proving TH0
0.19/0.48	------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960...
0.19/0.48	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.19/0.49	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
20.30/20.55	--- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
20.30/20.57	% SZS status Theorem for theBenchmark
20.30/20.57	% SZS output start Proof for theBenchmark
20.30/20.57	(skolem (forall ((X $$unsorted) (Y $$unsorted)) (or (not (forall ((BOUND_VARIABLE_337 |u_(-> $$unsorted Bool)|)) (or (not (ho_1 BOUND_VARIABLE_337 X)) (ho_1 BOUND_VARIABLE_337 Y)) )) (= X Y)) )
20.30/20.57	  ( skv_2 skv_3 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) false (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )) )
20.30/20.57	  ( skv_5 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) false (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )) )
20.30/20.57	  ( skv_6 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) true (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )) )
20.30/20.57	  ( skv_7 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) true (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )) )
20.30/20.57	  ( skv_8 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) false (ho_1 skv_6 ii))) )) )
20.30/20.57	  ( skv_9 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) false (ho_1 skv_6 ii))) )) )
20.30/20.57	  ( skv_10 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) true (ho_1 skv_6 ii))) )) )
20.30/20.57	  ( skv_11 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) true (ho_1 skv_6 ii))) )) )
20.30/20.57	  ( skv_12 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) false (ho_1 skv_7 ii))) )) )
20.30/20.57	  ( skv_13 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) false (ho_1 skv_7 ii))) )) )
20.30/20.57	  ( skv_14 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_2) true (ho_1 skv_7 ii))) )) )
20.30/20.57	  ( skv_15 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= ii skv_3) true (ho_1 skv_7 ii))) )) )
20.30/20.57	  ( skv_16 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((z $$unsorted)) (= (ho_1 skv_6 z) (ho_1 skv_7 z)) )
20.30/20.57	  ( skv_17 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((z $$unsorted)) (= (ho_1 |e__u_(-> $$unsorted Bool)__4| z) (ho_1 skv_7 z)) )
20.30/20.57	  ( skv_18 )
20.30/20.57	)
20.30/20.57	(skolem (forall ((z $$unsorted)) (= (ho_1 |e__u_(-> $$unsorted Bool)__4| z) (ho_1 skv_6 z)) )
20.30/20.57	  ( skv_19 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_1 x z) (ho_1 y z)) )) (= x y)) )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, |e__u_(-> $$unsorted Bool)__4| )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, skv_6 )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, skv_7 )
20.30/20.57	  ( skv_6, |e__u_(-> $$unsorted Bool)__4| )
20.30/20.57	  ( skv_6, skv_7 )
20.30/20.57	  ( skv_7, |e__u_(-> $$unsorted Bool)__4| )
20.30/20.57	  ( skv_7, skv_6 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= i ii) e (ho_1 u ii))) )) )) )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, true, skv_2 )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, true, skv_3 )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, false, skv_2 )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4|, false, skv_3 )
20.30/20.57	  ( skv_6, true, skv_2 )
20.30/20.57	  ( skv_6, true, skv_3 )
20.30/20.57	  ( skv_6, false, skv_2 )
20.30/20.57	  ( skv_6, false, skv_3 )
20.30/20.57	  ( skv_7, true, skv_2 )
20.30/20.57	  ( skv_7, true, skv_3 )
20.30/20.57	  ( skv_7, false, skv_2 )
20.30/20.57	  ( skv_7, false, skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((BOUND_VARIABLE_337 |u_(-> $$unsorted Bool)|)) (or (not (ho_1 BOUND_VARIABLE_337 skv_2)) (ho_1 BOUND_VARIABLE_337 skv_3)) )
20.30/20.57	  ( |e__u_(-> $$unsorted Bool)__4| )
20.30/20.57	  ( skv_7 )
20.30/20.57	  ( skv_11 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_5 ii) (ite (= ii skv_2) false (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_6 ii) (ite (= ii skv_3) false (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	  ( skv_19 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_7 ii) (ite (= ii skv_2) true (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	  ( skv_18 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_8 ii) (ite (= ii skv_3) true (ho_1 |e__u_(-> $$unsorted Bool)__4| ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	  ( skv_18 )
20.30/20.57	  ( skv_19 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_9 ii) (ite (= ii skv_2) false (ho_1 skv_6 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_10 ii) (ite (= ii skv_3) false (ho_1 skv_6 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_11 ii) (ite (= ii skv_2) true (ho_1 skv_6 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_12 ii) (ite (= ii skv_3) true (ho_1 skv_6 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_13 ii) (ite (= ii skv_2) false (ho_1 skv_7 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_14 ii) (ite (= ii skv_3) false (ho_1 skv_7 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_15 ii) (ite (= ii skv_2) true (ho_1 skv_7 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	(instantiation (forall ((ii $$unsorted)) (= (ho_1 skv_16 ii) (ite (= ii skv_3) true (ho_1 skv_7 ii))) )
20.30/20.57	  ( skv_2 )
20.30/20.57	  ( skv_3 )
20.30/20.57	)
20.30/20.57	% SZS output end Proof for theBenchmark
20.30/20.57	EOF