0.08/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.14	% Command    : do_CVC4 %s %d
0.14/0.36	% Computer   : n006.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 960
0.14/0.36	% WCLimit    : 120
0.14/0.36	% DateTime   : Thu Jul  2 07:30:00 EDT 2020
0.14/0.36	% CPUTime    : 
0.22/0.49	%----Proving TH0
0.22/0.49	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.22/0.49	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.38/0.63	% SZS status Theorem for theBenchmark
0.38/0.63	% SZS output start Proof for theBenchmark
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 k_5 z) (ho_4 k_3 z)) )
0.38/0.63	  ( skv_9 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) e_$$unsorted_8)) )
0.38/0.63	  ( skv_10 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_10 Xx0) Xx0) )
0.38/0.63	  ( skv_11 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_9)) )
0.38/0.63	  ( skv_12 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_6 (ho_4 k_5 e_$$unsorted_8) z) (ho_6 (ho_4 k_3 e_$$unsorted_8) z)) )
0.38/0.63	  ( skv_13 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 k_5 z) (ho_4 skv_10 z)) )
0.38/0.63	  ( skv_14 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 k_5 Xx0) Xx0) )
0.38/0.63	  ( skv_15 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_13)) )
0.38/0.63	  ( skv_16 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) e_$$unsorted_8)) )
0.38/0.63	  ( skv_17 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_6 (ho_4 k_5 e_$$unsorted_8) z) (ho_6 (ho_4 k_3 skv_9) z)) )
0.38/0.63	  ( skv_18 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 k_3 z) (ho_4 skv_10 z)) )
0.38/0.63	  ( skv_19 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_11)) )
0.38/0.63	  ( skv_20 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_18)) )
0.38/0.63	  ( skv_21 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 k_5 z) (ho_4 skv_12 z)) )
0.38/0.63	  ( skv_22 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_14)) )
0.38/0.63	  ( skv_23 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_11)) )
0.38/0.63	  ( skv_24 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_6 (ho_4 k_5 e_$$unsorted_8) z) (ho_6 (ho_4 k_5 skv_9) z)) )
0.38/0.63	  ( skv_25 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 k_3 z) (ho_4 skv_12 z)) )
0.38/0.63	  ( skv_26 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_15)) )
0.38/0.63	  ( skv_27 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_6 (ho_4 k_3 skv_9) z) (ho_6 (ho_4 k_5 skv_9) z)) )
0.38/0.63	  ( skv_28 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_11) e_$$unsorted_8)) )
0.38/0.63	  ( skv_29 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((z $$unsorted)) (= (ho_4 skv_10 z) (ho_4 skv_12 z)) )
0.38/0.63	  ( skv_30 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_19)) )
0.38/0.63	  ( skv_31 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_28)) )
0.38/0.63	  ( skv_32 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_18)) )
0.38/0.63	  ( skv_33 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_9)) )
0.38/0.63	  ( skv_34 )
0.38/0.63	)
0.38/0.63	(skolem (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_21 Xx0) Xx0) )
0.38/0.63	  ( skv_35 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xu $$unsorted) (Xv $$unsorted)) (= (ho_6 (ho_4 k_5 Xu) Xv) (= Xu Xv)) )
0.38/0.63	  ( e_$$unsorted_8, e_$$unsorted_8 )
0.38/0.63	  ( e_$$unsorted_8, skv_9 )
0.38/0.63	  ( e_$$unsorted_8, skv_11 )
0.38/0.63	  ( e_$$unsorted_8, skv_13 )
0.38/0.63	  ( e_$$unsorted_8, skv_14 )
0.38/0.63	  ( e_$$unsorted_8, skv_15 )
0.38/0.63	  ( e_$$unsorted_8, skv_18 )
0.38/0.63	  ( e_$$unsorted_8, skv_19 )
0.38/0.63	  ( skv_9, e_$$unsorted_8 )
0.38/0.63	  ( skv_9, skv_11 )
0.38/0.63	  ( skv_9, skv_18 )
0.38/0.63	  ( skv_9, skv_25 )
0.38/0.63	  ( skv_9, skv_28 )
0.38/0.63	  ( skv_11, e_$$unsorted_8 )
0.38/0.63	  ( skv_11, skv_9 )
0.38/0.63	  ( skv_15, skv_15 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (= (ho_6 (ho_4 k_3 Xx) Xy) (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx) Xy)) )) )
0.38/0.63	  ( e_$$unsorted_8, e_$$unsorted_8 )
0.38/0.63	  ( e_$$unsorted_8, skv_9 )
0.38/0.63	  ( e_$$unsorted_8, skv_11 )
0.38/0.63	  ( e_$$unsorted_8, skv_13 )
0.38/0.63	  ( e_$$unsorted_8, skv_14 )
0.38/0.63	  ( e_$$unsorted_8, skv_15 )
0.38/0.63	  ( e_$$unsorted_8, skv_18 )
0.38/0.63	  ( e_$$unsorted_8, skv_19 )
0.38/0.63	  ( skv_9, e_$$unsorted_8 )
0.38/0.63	  ( skv_9, skv_9 )
0.38/0.63	  ( skv_9, skv_11 )
0.38/0.63	  ( skv_9, skv_18 )
0.38/0.63	  ( skv_9, skv_28 )
0.38/0.63	  ( skv_11, e_$$unsorted_8 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) )
0.38/0.63	  ( |e__u_(-> $$unsorted Bool)__7|, |e__u_(-> $$unsorted Bool)__7| )
0.38/0.63	  ( (ho_4 k_5 e_$$unsorted_8), (ho_4 k_3 e_$$unsorted_8) )
0.38/0.63	  ( (ho_4 k_5 e_$$unsorted_8), (ho_4 k_5 skv_9) )
0.38/0.63	  ( (ho_4 k_5 e_$$unsorted_8), (ho_4 k_3 skv_9) )
0.38/0.63	  ( (ho_4 k_3 skv_9), (ho_4 k_5 e_$$unsorted_8) )
0.38/0.63	  ( (ho_4 k_3 skv_9), (ho_4 k_5 skv_9) )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) )
0.38/0.63	  ( k_3, k_5 )
0.38/0.63	  ( k_3, skv_10 )
0.38/0.63	  ( k_3, skv_12 )
0.38/0.63	  ( k_5, k_3 )
0.38/0.63	  ( k_5, skv_10 )
0.38/0.63	  ( k_5, skv_12 )
0.38/0.63	  ( skv_10, k_3 )
0.38/0.63	  ( skv_10, k_5 )
0.38/0.63	  ( skv_10, skv_12 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) e_$$unsorted_8)) )
0.38/0.63	  ( skv_10 )
0.38/0.63	  ( skv_12 )
0.38/0.63	  ( skv_16 )
0.38/0.63	  ( skv_17 )
0.38/0.63	  ( skv_20 )
0.38/0.63	  ( skv_21 )
0.38/0.63	  ( skv_23 )
0.38/0.63	  ( skv_24 )
0.38/0.63	  ( skv_27 )
0.38/0.63	  ( skv_31 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_10 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((z $$unsorted)) (= (ho_6 (ho_4 k_5 e_$$unsorted_8) z) (ho_6 (ho_4 k_3 e_$$unsorted_8) z)) )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_14 )
0.38/0.63	  ( skv_15 )
0.38/0.63	  ( skv_19 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_12 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	  ( skv_14 )
0.38/0.63	  ( skv_22 )
0.38/0.63	  ( skv_26 )
0.38/0.63	  ( skv_30 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 e_$$unsorted_8) skv_13)) )
0.38/0.63	  ( k_5 )
0.38/0.63	  ( skv_10 )
0.38/0.63	  ( skv_12 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 k_5 Xx0) Xx0) )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	  ( skv_14 )
0.38/0.63	  ( skv_19 )
0.38/0.63	  ( skv_22 )
0.38/0.63	  ( skv_26 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_16 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	  ( skv_14 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_17 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_18)) )
0.38/0.63	  ( k_5 )
0.38/0.63	  ( skv_10 )
0.38/0.63	  ( skv_12 )
0.38/0.63	  ( skv_16 )
0.38/0.63	  ( skv_17 )
0.38/0.63	  ( skv_23 )
0.38/0.63	  ( skv_24 )
0.38/0.63	  ( skv_27 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_20 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_21 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	  ( skv_13 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_9)) )
0.38/0.63	  ( skv_10 )
0.38/0.63	  ( skv_23 )
0.38/0.63	  ( skv_24 )
0.38/0.63	  ( skv_27 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_23 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	  ( skv_11 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_24 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_27 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	  ( skv_9 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_29 Xx0) Xx0) )
0.38/0.63	  ( skv_11 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((BOUND_VARIABLE_344 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 BOUND_VARIABLE_344 Xx0) Xx0) )) (ho_6 (ho_4 BOUND_VARIABLE_344 skv_9) skv_28)) )
0.38/0.63	  ( k_5 )
0.38/0.63	  ( skv_10 )
0.38/0.63	  ( skv_12 )
0.38/0.63	  ( skv_16 )
0.38/0.63	  ( skv_17 )
0.38/0.63	  ( skv_20 )
0.38/0.63	  ( skv_21 )
0.38/0.63	  ( skv_23 )
0.38/0.63	  ( skv_24 )
0.38/0.63	  ( skv_27 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_31 Xx0) Xx0) )
0.38/0.63	  ( e_$$unsorted_8 )
0.38/0.63	)
0.38/0.63	(instantiation (forall ((Xx0 $$unsorted)) (ho_6 (ho_4 skv_32 Xx0) Xx0) )
0.38/0.63	  ( skv_9 )
0.38/0.63	)
0.38/0.63	% SZS output end Proof for theBenchmark
0.51/0.63	EOF