0.03/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.10	% Command    : do_CVC4 %s %d
0.10/0.29	% Computer   : n031.cluster.edu
0.10/0.29	% Model      : x86_64 x86_64
0.10/0.29	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.29	% Memory     : 8042.1875MB
0.10/0.29	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.29	% CPULimit   : 960
0.10/0.29	% WCLimit    : 120
0.10/0.29	% DateTime   : Thu Jul  2 06:48:48 EDT 2020
0.10/0.29	% CPUTime    : 
0.13/0.39	%----Proving TH0
0.13/0.40	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.13/0.40	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.82/1.01	% SZS status Theorem for theBenchmark
0.82/1.01	% SZS output start Proof for theBenchmark
0.82/1.01	(skolem (forall ((z $$unsorted)) (= (ho_4 (ho_3 (ho_2 k_1 a) b) z) (ho_4 (ho_3 (ho_2 k_1 b) a) z)) )
0.82/1.01	  ( skv_6 )
0.82/1.01	)
0.82/1.01	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_1 a) z) (ho_3 (ho_2 k_1 b) z)) )
0.82/1.01	  ( skv_7 )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xxy $$unsorted) (Xyz $$unsorted) (Xxyz $$unsorted)) (or (not (ho_4 (ho_3 (ho_2 k_1 Xy) Xz) Xyz)) (not (ho_4 (ho_3 (ho_2 k_1 Xx) Xy) Xxy)) (= (ho_4 (ho_3 (ho_2 k_1 Xxy) Xz) Xxyz) (ho_4 (ho_3 k_5 Xyz) Xxyz))) )
0.82/1.01	  ( ab, ab, ab, ab, ab, ab )
0.82/1.01	  ( ab, ab, e, e, ab, ab )
0.82/1.01	  ( ab, ab, e, e, ab, e )
0.82/1.01	  ( ab, e, ab, ab, ab, ab )
0.82/1.01	  ( ab, e, ab, ab, ab, e )
0.82/1.01	  ( a, a, a, e, e, ab )
0.82/1.01	  ( a, a, b, e, ab, ab )
0.82/1.01	  ( a, a, b, e, ab, b )
0.82/1.01	  ( a, b, b, b, ab, ab )
0.82/1.01	  ( a, b, e, ab, b, ab )
0.82/1.01	  ( a, b, e, a, ab, ab )
0.82/1.01	  ( a, b, skv_7, b, ab, ab )
0.82/1.01	  ( a, e, a, b, ab, ab )
0.82/1.01	  ( a, e, b, b, ab, e )
0.82/1.01	  ( a, e, e, a, ab, ab )
0.82/1.01	  ( a, e, e, a, e, a )
0.82/1.01	  ( b, a, a, b, ab, ab )
0.82/1.01	  ( b, a, e, b, a, b )
0.82/1.01	  ( b, b, a, ab, skv_6, ab )
0.82/1.01	  ( b, b, b, e, e, ab )
0.82/1.01	  ( b, e, a, b, a, skv_6 )
0.82/1.01	  ( b, e, b, b, ab, ab )
0.82/1.01	  ( b, e, e, b, ab, ab )
0.82/1.01	  ( b, e, skv_7, b, ab, ab )
0.82/1.01	  ( e, ab, ab, ab, e, ab )
0.82/1.01	  ( e, ab, a, b, ab, ab )
0.82/1.01	  ( e, ab, e, ab, ab, ab )
0.82/1.01	  ( e, a, a, a, e, e )
0.82/1.01	  ( e, a, b, a, ab, b )
0.82/1.01	  ( e, a, e, a, ab, b )
0.82/1.01	  ( e, b, a, b, b, ab )
0.82/1.01	  ( e, e, ab, e, b, ab )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((Xz $$unsorted)) (ho_4 (ho_3 (ho_2 k_1 Xz) Xz) e) )
0.82/1.01	  ( ab )
0.82/1.01	  ( a )
0.82/1.01	  ( b )
0.82/1.01	  ( e )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((Xy $$unsorted)) (ho_4 (ho_3 (ho_2 k_1 Xy) e) Xy) )
0.82/1.01	  ( ab )
0.82/1.01	  ( a )
0.82/1.01	  ( b )
0.82/1.01	  ( e )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 (ho_2 k_1 e) Xx) Xx) )
0.82/1.01	  ( ab )
0.82/1.01	  ( a )
0.82/1.01	  ( b )
0.82/1.01	  ( skv_7 )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) )
0.82/1.01	  ( (ho_3 (ho_2 k_1 a) b), (ho_3 (ho_2 k_1 b) a) )
0.82/1.01	)
0.82/1.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
0.82/1.01	  ( (ho_2 k_1 a), (ho_2 k_1 b) )
0.82/1.01	)
0.82/1.01	% SZS output end Proof for theBenchmark
0.82/1.01	EOF