0.08/0.15	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.16	% Command    : do_CVC4 %s %d
0.15/0.38	% Computer   : n024.cluster.edu
0.15/0.38	% Model      : x86_64 x86_64
0.15/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.38	% Memory     : 8042.1875MB
0.15/0.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.38	% CPULimit   : 960
0.15/0.38	% WCLimit    : 120
0.15/0.38	% DateTime   : Thu Jul  2 07:24:41 EDT 2020
0.15/0.38	% CPUTime    : 
0.24/0.48	%----Proving TH0
0.24/0.48	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.24/0.48	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
2.42/2.59	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
2.43/2.72	% SZS status Theorem for theBenchmark
2.43/2.72	% SZS output start Proof for theBenchmark
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= lSue_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_3 ii))) )) )
2.43/2.72	  ( skv_5 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= lSue_THFTYPE_i ii) false (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )) )
2.43/2.72	  ( skv_6 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_1 k_3 z) (ho_1 k_4 z)) )
2.43/2.72	  ( skv_7 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_2 (ho_1 k_3 lSue_THFTYPE_i) z) (ho_2 (ho_1 k_4 lBob_THFTYPE_i) z)) )
2.43/2.72	  ( skv_8 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= lBill_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_3 ii))) )) )
2.43/2.72	  ( skv_13 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_1 k_3 lSue_THFTYPE_i))) (= (ho_2 v ii) (ite (= lSue_THFTYPE_i ii) (ho_2 _let_0 lBill_THFTYPE_i) (ho_2 _let_0 ii)))) )) )
2.43/2.72	  ( skv_14 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_1 k_3 z) (ho_1 skv_5 z)) )
2.43/2.72	  ( skv_15 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= lSue_THFTYPE_i ii) (ho_1 k_4 lBob_THFTYPE_i) (ho_1 k_3 ii))) )) )
2.43/2.72	  ( skv_21 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_1 k_3 lSue_THFTYPE_i))) (= (ho_2 v ii) (ite (= lBill_THFTYPE_i ii) (ho_2 _let_0 lBill_THFTYPE_i) (ho_2 _let_0 ii)))) )) )
2.43/2.72	  ( skv_22 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_1 k_3 z) (ho_1 skv_13 z)) )
2.43/2.72	  ( skv_23 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_2 (ho_1 k_3 lSue_THFTYPE_i) z) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) z)) )
2.43/2.72	  ( skv_24 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= lBill_THFTYPE_i ii) (ho_1 k_4 lBob_THFTYPE_i) (ho_1 k_3 ii))) )) )
2.43/2.72	  ( skv_34 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= lSue_THFTYPE_i ii) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i) (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )) )
2.43/2.72	  ( skv_35 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_1 k_4 z) (ho_1 skv_13 z)) )
2.43/2.72	  ( skv_36 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_2 (ho_1 k_4 lBob_THFTYPE_i) z) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) z)) )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= lSue_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_4 ii))) )) )
2.43/2.72	  ( skv_48 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= lBill_THFTYPE_i ii) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i) (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )) )
2.43/2.72	  ( skv_49 )
2.43/2.72	)
2.43/2.72	(skolem (forall ((z $$unsorted)) (= (ho_1 k_3 z) (ho_1 skv_21 z)) )
2.43/2.72	  ( skv_50 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((BOUND_VARIABLE_376 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_352 $$unsorted) (BOUND_VARIABLE_353 $$unsorted)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_376 lBob_THFTYPE_i) lBill_THFTYPE_i)) (not (ho_2 (ho_1 BOUND_VARIABLE_376 lSue_THFTYPE_i) lBob_THFTYPE_i)) (ho_2 (ho_1 BOUND_VARIABLE_376 BOUND_VARIABLE_352) BOUND_VARIABLE_353)) )
2.43/2.72	  ( k_3, lMary_THFTYPE_i, lBill_THFTYPE_i )
2.43/2.72	  ( k_3, lMary_THFTYPE_i, lSue_THFTYPE_i )
2.43/2.72	  ( k_4, lBob_THFTYPE_i, lMary_THFTYPE_i )
2.43/2.72	  ( skv_48, lBob_THFTYPE_i, lMary_THFTYPE_i )
2.43/2.72	  ( skv_48, lSue_THFTYPE_i, lMary_THFTYPE_i )
2.43/2.72	  ( skv_48, lSue_THFTYPE_i, skv_8 )
2.43/2.72	  ( skv_48, lSue_THFTYPE_i, skv_24 )
2.43/2.72	  ( skv_48, lSue_THFTYPE_i, skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_1 x z) (ho_1 y z)) )) (= x y)) )
2.43/2.72	  ( k_3, k_4 )
2.43/2.72	  ( k_3, skv_5 )
2.43/2.72	  ( k_3, skv_13 )
2.43/2.72	  ( k_3, skv_21 )
2.43/2.72	  ( k_4, k_3 )
2.43/2.72	  ( k_4, skv_13 )
2.43/2.72	  ( skv_13, k_3 )
2.43/2.72	  ( skv_13, k_4 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_1 k_4 lBob_THFTYPE_i) )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_1 k_3 lMary_THFTYPE_i) )
2.43/2.72	  ( (ho_1 k_4 lBob_THFTYPE_i), (ho_1 k_3 lSue_THFTYPE_i) )
2.43/2.72	  ( (ho_1 k_4 lBob_THFTYPE_i), (ho_1 k_3 lMary_THFTYPE_i) )
2.43/2.72	  ( (ho_1 k_3 lMary_THFTYPE_i), (ho_1 k_3 lSue_THFTYPE_i) )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_1 v ii) (ite (= i ii) e (ho_1 u ii))) )) )) )
2.43/2.72	  ( k_3, (ho_1 k_3 lSue_THFTYPE_i), lBill_THFTYPE_i )
2.43/2.72	  ( k_3, (ho_1 k_3 lSue_THFTYPE_i), lSue_THFTYPE_i )
2.43/2.72	  ( k_3, (ho_1 k_4 lBob_THFTYPE_i), lBill_THFTYPE_i )
2.43/2.72	  ( k_3, (ho_1 k_4 lBob_THFTYPE_i), lSue_THFTYPE_i )
2.43/2.72	  ( k_4, (ho_1 k_3 lSue_THFTYPE_i), lSue_THFTYPE_i )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii))) )) )) )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), false, lSue_THFTYPE_i )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_2 (ho_1 k_3 lSue_THFTYPE_i) lBill_THFTYPE_i), lBill_THFTYPE_i )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_2 (ho_1 k_3 lSue_THFTYPE_i) lBill_THFTYPE_i), lSue_THFTYPE_i )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i), lBill_THFTYPE_i )
2.43/2.72	  ( (ho_1 k_3 lSue_THFTYPE_i), (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i), lSue_THFTYPE_i )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ite (= lSue_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_3 ii)) (ho_1 skv_5 ii)) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_7 )
2.43/2.72	  ( skv_15 )
2.43/2.72	  ( skv_23 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	  ( skv_50 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ho_2 skv_6 ii) (ite (= lSue_THFTYPE_i ii) false (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_8 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((z $$unsorted)) (= (ho_1 k_3 z) (ho_1 skv_5 z)) )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ite (= lBill_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_3 ii)) (ho_1 skv_13 ii)) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_7 )
2.43/2.72	  ( skv_15 )
2.43/2.72	  ( skv_23 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_36 )
2.43/2.72	  ( skv_37 )
2.43/2.72	  ( skv_50 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_1 k_3 lSue_THFTYPE_i))) (= (ho_2 skv_14 ii) (ite (= lSue_THFTYPE_i ii) (ho_2 _let_0 lBill_THFTYPE_i) (ho_2 _let_0 ii)))) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( skv_8 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ite (= lSue_THFTYPE_i ii) (ho_1 k_4 lBob_THFTYPE_i) (ho_1 k_3 ii)) (ho_1 skv_21 ii)) )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_7 )
2.43/2.72	  ( skv_23 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	  ( skv_50 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_1 k_3 lSue_THFTYPE_i))) (= (ho_2 skv_22 ii) (ite (= lBill_THFTYPE_i ii) (ho_2 _let_0 lBill_THFTYPE_i) (ho_2 _let_0 ii)))) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( skv_8 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ite (= lBill_THFTYPE_i ii) (ho_1 k_4 lBob_THFTYPE_i) (ho_1 k_3 ii)) (ho_1 skv_34 ii)) )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_7 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	  ( skv_50 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ho_2 skv_35 ii) (ite (= lSue_THFTYPE_i ii) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i) (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( skv_8 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ite (= lSue_THFTYPE_i ii) (ho_1 k_3 lSue_THFTYPE_i) (ho_1 k_4 ii)) (ho_1 skv_48 ii)) )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lSue_THFTYPE_i )
2.43/2.72	  ( skv_7 )
2.43/2.72	)
2.43/2.72	(instantiation (forall ((ii $$unsorted)) (= (ho_2 skv_49 ii) (ite (= lBill_THFTYPE_i ii) (ho_2 (ho_1 k_3 lMary_THFTYPE_i) lBill_THFTYPE_i) (ho_2 (ho_1 k_3 lSue_THFTYPE_i) ii))) )
2.43/2.72	  ( lBill_THFTYPE_i )
2.43/2.72	  ( lBob_THFTYPE_i )
2.43/2.72	  ( lMary_THFTYPE_i )
2.43/2.72	  ( skv_8 )
2.43/2.72	  ( skv_24 )
2.43/2.72	  ( skv_37 )
2.43/2.72	)
2.43/2.72	% SZS output end Proof for theBenchmark
2.43/2.72	EOF