0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : do_CVC4 %s
0.12/0.33	% Computer   : n009.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 13:24:12 EDT 2019
0.12/0.33	% CPUTime    : 
0.18/0.45	%----Proving TH0_NAR
0.18/0.46	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.18/0.46	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.18/0.50	% SZS status Theorem for theBenchmark
0.18/0.50	% SZS output start Proof for theBenchmark
0.18/0.50	(skolem (forall ((BOUND_VARIABLE_457 |u_(-> a b)|) (BOUND_VARIABLE_464 |u_(-> a c)|) (BOUND_VARIABLE_432 |u_(-> b c)|) (BOUND_VARIABLE_403 b) (BOUND_VARIABLE_404 b)) (or (not (forall ((Xy b)) (not (forall ((Xx a)) (not (= Xy (ho_8 BOUND_VARIABLE_457 Xx))) )) )) (not (forall ((Xx a) (Xy a)) (= (ho_9 BOUND_VARIABLE_464 (ho_12 (ho_11 k_10 Xx) Xy)) (ho_7 (ho_6 k_5 (ho_9 BOUND_VARIABLE_464 Xx)) (ho_9 BOUND_VARIABLE_464 Xy))) )) (not (forall ((Xx a) (Xy a)) (= (ho_8 BOUND_VARIABLE_457 (ho_12 (ho_11 k_10 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_8 BOUND_VARIABLE_457 Xx)) (ho_8 BOUND_VARIABLE_457 Xy))) )) (not (forall ((Xx a)) (= (ho_4 BOUND_VARIABLE_432 (ho_8 BOUND_VARIABLE_457 Xx)) (ho_9 BOUND_VARIABLE_464 Xx)) )) (= (ho_4 BOUND_VARIABLE_432 (ho_3 (ho_2 k_1 BOUND_VARIABLE_403) BOUND_VARIABLE_404)) (ho_7 (ho_6 k_5 (ho_4 BOUND_VARIABLE_432 BOUND_VARIABLE_403)) (ho_4 BOUND_VARIABLE_432 BOUND_VARIABLE_404)))) )
0.18/0.50	  ( skv_13 skv_14 skv_15 skv_16 skv_17 )
0.18/0.50	)
0.18/0.50	(skolem (forall ((Xx a)) (not (= skv_17 (ho_8 skv_13 Xx))) )
0.18/0.50	  ( skv_23 )
0.18/0.50	)
0.18/0.50	(skolem (forall ((Xx a)) (not (= skv_16 (ho_8 skv_13 Xx))) )
0.18/0.50	  ( skv_24 )
0.18/0.50	)
0.18/0.50	(skolem (forall ((z b)) (= (ho_3 (ho_2 k_1 skv_16) z) (ho_3 (ho_2 k_1 (ho_8 skv_13 e_a_22)) z)) )
0.18/0.50	  ( skv_25 )
0.18/0.50	)
0.18/0.50	(skolem (forall ((z c)) (= (ho_7 (ho_6 k_5 (ho_4 skv_15 skv_16)) z) (ho_7 (ho_6 k_5 (ho_9 skv_14 e_a_22)) z)) )
0.18/0.50	  ( skv_26 )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> a a a)|) (y |u_(-> a a a)|)) (or (not (forall ((z a)) (= (ho_11 x z) (ho_11 y z)) )) (= x y)) )
0.18/0.50	  ( |e_|u_(-> a a a)|_18|, |e_|u_(-> a a a)|_18| )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> a c)|) (y |u_(-> a c)|)) (or (not (forall ((z a)) (= (ho_9 x z) (ho_9 y z)) )) (= x y)) )
0.18/0.50	  ( |e_|u_(-> a c)|_19|, |e_|u_(-> a c)|_19| )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> a b)|) (y |u_(-> a b)|)) (or (not (forall ((z a)) (= (ho_8 x z) (ho_8 y z)) )) (= x y)) )
0.18/0.50	  ( |e_|u_(-> a b)|_20|, |e_|u_(-> a b)|_20| )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> b b)|) (y |u_(-> b b)|)) (or (not (forall ((z b)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
0.18/0.50	  ( (ho_2 k_1 skv_16), (ho_2 k_1 (ho_8 skv_13 e_a_22)) )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> a a)|) (y |u_(-> a a)|)) (or (not (forall ((z a)) (= (ho_12 x z) (ho_12 y z)) )) (= x y)) )
0.18/0.50	  ( |e_|u_(-> a a)|_21|, |e_|u_(-> a a)|_21| )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((x |u_(-> c c)|) (y |u_(-> c c)|)) (or (not (forall ((z c)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) )
0.18/0.50	  ( (ho_6 k_5 (ho_4 skv_15 skv_16)), (ho_6 k_5 (ho_9 skv_14 e_a_22)) )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((Xy b)) (not (forall ((Xx a)) (not (= Xy (ho_8 skv_13 Xx))) )) )
0.18/0.50	  ( skv_16 )
0.18/0.50	  ( skv_17 )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((Xx a) (Xy a)) (= (ho_9 skv_14 (ho_12 (ho_11 k_10 Xx) Xy)) (ho_7 (ho_6 k_5 (ho_9 skv_14 Xx)) (ho_9 skv_14 Xy))) )
0.18/0.50	  ( e_a_22, e_a_22 )
0.18/0.50	  ( e_a_22, (ho_12 (ho_11 k_10 e_a_22) e_a_22) )
0.18/0.50	  ( skv_24, skv_23 )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((Xx a) (Xy a)) (= (ho_8 skv_13 (ho_12 (ho_11 k_10 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_8 skv_13 Xx)) (ho_8 skv_13 Xy))) )
0.18/0.50	  ( e_a_22, e_a_22 )
0.18/0.50	  ( e_a_22, (ho_12 (ho_11 k_10 e_a_22) e_a_22) )
0.18/0.50	  ( skv_24, skv_23 )
0.18/0.50	)
0.18/0.50	(instantiation (forall ((Xx a)) (= (ho_4 skv_15 (ho_8 skv_13 Xx)) (ho_9 skv_14 Xx)) )
0.18/0.50	  ( e_a_22 )
0.18/0.50	  ( (ho_12 (ho_11 k_10 e_a_22) e_a_22) )
0.18/0.50	  ( skv_23 )
0.18/0.50	  ( (let ((_let_0 (ho_11 k_10 e_a_22))) (ho_12 _let_0 (ho_12 _let_0 e_a_22))) )
0.18/0.50	  ( skv_24 )
0.18/0.50	  ( (ho_12 (ho_11 k_10 skv_24) skv_23) )
0.18/0.50	)
0.18/0.50	% SZS output end Proof for theBenchmark
0.18/0.50	EOF