0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : do_CVC4 %s %d
0.14/0.35	% Computer   : n028.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 960
0.14/0.35	% WCLimit    : 120
0.14/0.35	% DateTime   : Thu Jul  2 07:31:36 EDT 2020
0.14/0.35	% CPUTime    : 
0.20/0.49	%----Proving TH0
0.20/0.50	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.20/0.50	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
20.45/20.64	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
40.55/40.74	--- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
45.53/45.79	--- Run --uf-ho --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
50.58/50.80	--- Run --uf-ho --no-ho-matching --full-saturate-quant --fs-interleave --ho-elim-store-ax at 30...
50.58/50.84	% SZS status Theorem for theBenchmark
50.58/50.84	% SZS output start Proof for theBenchmark
50.58/50.84	(skolem (forall ((X1 $$unsorted)) (let ((_let_0 (sup lambdaF_1))) (= _let_0 (multiplication _let_0 X1))) )
50.58/50.84	  ( skv_7 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= lambdaF_1 ii) |e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9| (|e_(-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)_8| ii))) )) )
50.58/50.84	  ( skv_14 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= ii skv_7) false (lambdaF_1 ii))) )) )
50.58/50.84	  ( skv_15 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool))) (not (forall ((ii (-> (-> $$unsorted Bool) Bool))) (= (v ii) (ite (= ii |e_(-> (-> $$unsorted Bool) Bool)_11|) lambdaF_1 (|e_(-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool)_10| ii))) )) )
50.58/50.84	  ( skv_16 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> $$unsorted $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= ii skv_7) lambdaF_1 (|e_(-> $$unsorted $$unsorted Bool)_12| ii))) )) )
50.58/50.84	  ( skv_17 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> $$unsorted $$unsorted $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= ii skv_7) |e_(-> $$unsorted $$unsorted Bool)_12| (|e_(-> $$unsorted $$unsorted $$unsorted Bool)_13| ii))) )) )
50.58/50.84	  ( skv_18 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> (-> $$unsorted Bool) Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= lambdaF_1 ii) false (|e_(-> (-> $$unsorted Bool) Bool)_11| ii))) )) )
50.58/50.84	  ( skv_19 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((v (-> (-> $$unsorted Bool) $$unsorted Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= lambdaF_1 ii) lambdaF_1 (|e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9| ii))) )) )
50.58/50.84	  ( skv_20 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((BOUND_VARIABLE_690 $$unsorted) (BOUND_VARIABLE_691 $$unsorted)) (or (not (lambdaF_1 BOUND_VARIABLE_690)) (not (lambdaF_1 BOUND_VARIABLE_691)) (not (= (multiplication BOUND_VARIABLE_690 BOUND_VARIABLE_691) k_33))) )
50.58/50.84	  ( skv_37 skv_38 )
50.58/50.84	)
50.58/50.84	(skolem (forall ((BOUND_VARIABLE_690 $$unsorted) (BOUND_VARIABLE_691 $$unsorted)) (or (not (lambdaF_1 BOUND_VARIABLE_690)) (not ((ll_5 skv_7) BOUND_VARIABLE_691)) (not (= (multiplication BOUND_VARIABLE_690 BOUND_VARIABLE_691) k_39))) )
50.58/50.84	  ( skv_44 skv_45 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X $$unsorted)) (= X (multiplication X one)) )
50.58/50.84	  ( one )
50.58/50.84	  ( (sup lambdaF_1) )
50.58/50.84	  ( skv_7 )
50.58/50.84	  ( (sup ((ll_4 skv_7) skv_7)) )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X $$unsorted)) (= X (multiplication one X)) )
50.58/50.84	  ( one )
50.58/50.84	  ( (sup lambdaF_1) )
50.58/50.84	  ( skv_7 )
50.58/50.84	  ( (sup ((ll_4 skv_7) skv_7)) )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_420 $$unsorted)) (not (lambdaF_1 BOUND_VARIABLE_420)) )
50.58/50.84	  ( one )
50.58/50.84	  ( skv_7 )
50.58/50.84	  ( (sup (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|)) )
50.58/50.84	  ( (sup ((ll_4 skv_7) skv_7)) )
50.58/50.84	  ( k_33 )
50.58/50.84	  ( skv_37 )
50.58/50.84	  ( skv_38 )
50.58/50.84	  ( k_39 )
50.58/50.84	  ( skv_44 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X (-> (-> $$unsorted Bool) Bool))) (= (sup (ll_2 X)) (sup (ll_3 X))) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) Bool)_11| )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (leq X1 X2) (= X2 (sup ((ll_4 X1) X2)))) )
50.58/50.84	  ( skv_7, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X $$unsorted)) (= X (sup (ll_5 X))) )
50.58/50.84	  ( skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (= (multiplication (sup X) (sup Y)) (sup ((ll_6 X) Y))) )
50.58/50.84	  ( lambdaF_1, lambdaF_1 )
50.58/50.84	  ( lambdaF_1, (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.84	  ( lambdaF_1, (ll_3 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.84	  ( lambdaF_1, ((ll_4 skv_7) skv_7) )
50.58/50.84	  ( lambdaF_1, (ll_5 skv_7) )
50.58/50.84	  ( (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|), lambdaF_1 )
50.58/50.84	  ( ((ll_4 skv_7) skv_7), lambdaF_1 )
50.58/50.84	  ( (ll_5 skv_7), lambdaF_1 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_813 (-> (-> $$unsorted Bool) Bool)) (BOUND_VARIABLE_814 $$unsorted)) (= (ll_3 BOUND_VARIABLE_813 BOUND_VARIABLE_814) (not (forall ((BOUND_VARIABLE_607 (-> $$unsorted Bool))) (or (not (BOUND_VARIABLE_813 BOUND_VARIABLE_607)) (not (BOUND_VARIABLE_607 BOUND_VARIABLE_814))) ))) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) Bool)_11|, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_826 $$unsorted) (BOUND_VARIABLE_827 $$unsorted) (BOUND_VARIABLE_828 $$unsorted)) (= (ll_4 BOUND_VARIABLE_826 BOUND_VARIABLE_827 BOUND_VARIABLE_828) (or (= BOUND_VARIABLE_826 BOUND_VARIABLE_828) (= BOUND_VARIABLE_827 BOUND_VARIABLE_828))) )
50.58/50.84	  ( skv_7, skv_7, skv_7 )
50.58/50.84	  ( skv_7, skv_7, k_32 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_836 $$unsorted) (BOUND_VARIABLE_837 $$unsorted)) (= (ll_5 BOUND_VARIABLE_836 BOUND_VARIABLE_837) (= BOUND_VARIABLE_836 BOUND_VARIABLE_837)) )
50.58/50.84	  ( skv_7, skv_7 )
50.58/50.84	  ( skv_7, k_34 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_800 (-> (-> $$unsorted Bool) Bool)) (BOUND_VARIABLE_801 $$unsorted)) (= (ll_2 BOUND_VARIABLE_800 BOUND_VARIABLE_801) (not (forall ((BOUND_VARIABLE_621 (-> $$unsorted Bool))) (or (not (BOUND_VARIABLE_800 BOUND_VARIABLE_621)) (not (= (sup BOUND_VARIABLE_621) BOUND_VARIABLE_801))) ))) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) Bool)_11|, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_843 (-> $$unsorted Bool)) (BOUND_VARIABLE_844 (-> $$unsorted Bool)) (BOUND_VARIABLE_845 $$unsorted)) (= (ll_6 BOUND_VARIABLE_843 BOUND_VARIABLE_844 BOUND_VARIABLE_845) (not (forall ((BOUND_VARIABLE_690 $$unsorted) (BOUND_VARIABLE_691 $$unsorted)) (or (not (BOUND_VARIABLE_843 BOUND_VARIABLE_690)) (not (BOUND_VARIABLE_844 BOUND_VARIABLE_691)) (not (= (multiplication BOUND_VARIABLE_690 BOUND_VARIABLE_691) BOUND_VARIABLE_845))) ))) )
50.58/50.84	  ( lambdaF_1, lambdaF_1, skv_7 )
50.58/50.84	  ( lambdaF_1, lambdaF_1, k_33 )
50.58/50.84	  ( lambdaF_1, (ll_5 skv_7), k_39 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) (e (-> (-> $$unsorted Bool) $$unsorted Bool)) (i (-> $$unsorted Bool))) (not (forall ((v (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)_8|, |e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9|, lambdaF_1 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> $$unsorted Bool)) (e Bool) (i $$unsorted)) (not (forall ((v (-> $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( lambdaF_1, false, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool)) (e (-> $$unsorted Bool)) (i (-> (-> $$unsorted Bool) Bool))) (not (forall ((v (-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool))) (not (forall ((ii (-> (-> $$unsorted Bool) Bool))) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool)_10|, lambdaF_1, |e_(-> (-> $$unsorted Bool) Bool)_11| )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> $$unsorted $$unsorted Bool)) (e (-> $$unsorted Bool)) (i $$unsorted)) (not (forall ((v (-> $$unsorted $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> $$unsorted $$unsorted Bool)_12|, lambdaF_1, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> $$unsorted $$unsorted $$unsorted Bool)) (e (-> $$unsorted $$unsorted Bool)) (i $$unsorted)) (not (forall ((v (-> $$unsorted $$unsorted $$unsorted Bool))) (not (forall ((ii $$unsorted)) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> $$unsorted $$unsorted $$unsorted Bool)_13|, |e_(-> $$unsorted $$unsorted Bool)_12|, skv_7 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> (-> $$unsorted Bool) Bool)) (e Bool) (i (-> $$unsorted Bool))) (not (forall ((v (-> (-> $$unsorted Bool) Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) Bool)_11|, false, lambdaF_1 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((u (-> (-> $$unsorted Bool) $$unsorted Bool)) (e (-> $$unsorted Bool)) (i (-> $$unsorted Bool))) (not (forall ((v (-> (-> $$unsorted Bool) $$unsorted Bool))) (not (forall ((ii (-> $$unsorted Bool))) (= (v ii) (ite (= i ii) e (u ii))) )) )) )
50.58/50.84	  ( |e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9|, lambdaF_1, lambdaF_1 )
50.58/50.84	)
50.58/50.84	(instantiation (forall ((BOUND_VARIABLE_621 (-> $$unsorted Bool))) (or (not (|e_(-> (-> $$unsorted Bool) Bool)_11| BOUND_VARIABLE_621)) (not (= (sup BOUND_VARIABLE_621) skv_7))) )
50.58/50.84	  ( lambdaF_1 )
50.58/50.84	  ( (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.84	  ( (ll_3 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.85	  ( (ll_5 skv_7) )
50.58/50.85	  ( ((ll_6 lambdaF_1) lambdaF_1) )
50.58/50.85	  ( ((ll_6 lambdaF_1) (ll_5 skv_7)) )
50.58/50.85	  ( ((ll_6 lambdaF_1) (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|)) )
50.58/50.85	  ( ((ll_6 (ll_5 skv_7)) lambdaF_1) )
50.58/50.85	  ( ((ll_6 lambdaF_1) ((ll_4 skv_7) skv_7)) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((BOUND_VARIABLE_607 (-> $$unsorted Bool))) (or (not (|e_(-> (-> $$unsorted Bool) Bool)_11| BOUND_VARIABLE_607)) (not (BOUND_VARIABLE_607 skv_7))) )
50.58/50.85	  ( lambdaF_1 )
50.58/50.85	  ( ((ll_4 skv_7) skv_7) )
50.58/50.85	  ( (ll_5 skv_7) )
50.58/50.85	  ( ((ll_6 lambdaF_1) (ll_5 skv_7)) )
50.58/50.85	  ( ((ll_6 (ll_5 skv_7)) lambdaF_1) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((BOUND_VARIABLE_690 $$unsorted) (BOUND_VARIABLE_691 $$unsorted)) (or (not (lambdaF_1 BOUND_VARIABLE_690)) (not (lambdaF_1 BOUND_VARIABLE_691)) (not (= (multiplication BOUND_VARIABLE_690 BOUND_VARIABLE_691) skv_7))) )
50.58/50.85	  ( one, one )
50.58/50.85	  ( one, (sup lambdaF_1) )
50.58/50.85	  ( (sup lambdaF_1), (sup lambdaF_1) )
50.58/50.85	  ( (sup (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|)), (sup (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|)) )
50.58/50.85	  ( (sup ((ll_4 skv_7) skv_7)), (sup ((ll_4 skv_7) skv_7)) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii (-> $$unsorted Bool))) (= (ite (= lambdaF_1 ii) |e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9| (|e_(-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)_8| ii)) (skv_14 ii)) )
50.58/50.85	  ( lambdaF_1 )
50.58/50.85	  ( (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.85	  ( ((ll_4 skv_7) skv_7) )
50.58/50.85	  ( (ll_5 skv_7) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii $$unsorted)) (= (skv_15 ii) (ite (= ii skv_7) false (lambdaF_1 ii))) )
50.58/50.85	  ( one )
50.58/50.85	  ( (sup lambdaF_1) )
50.58/50.85	  ( skv_7 )
50.58/50.85	  ( k_33 )
50.58/50.85	  ( skv_37 )
50.58/50.85	  ( skv_38 )
50.58/50.85	  ( k_39 )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii (-> (-> $$unsorted Bool) Bool))) (= (ite (= ii |e_(-> (-> $$unsorted Bool) Bool)_11|) lambdaF_1 (|e_(-> (-> (-> $$unsorted Bool) Bool) $$unsorted Bool)_10| ii)) (skv_16 ii)) )
50.58/50.85	  ( |e_(-> (-> $$unsorted Bool) Bool)_11| )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii $$unsorted)) (= (ite (= ii skv_7) lambdaF_1 (|e_(-> $$unsorted $$unsorted Bool)_12| ii)) (skv_17 ii)) )
50.58/50.85	  ( skv_7 )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii $$unsorted)) (= (ite (= ii skv_7) |e_(-> $$unsorted $$unsorted Bool)_12| (|e_(-> $$unsorted $$unsorted $$unsorted Bool)_13| ii)) (skv_18 ii)) )
50.58/50.85	  ( skv_7 )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii (-> $$unsorted Bool))) (= (skv_19 ii) (ite (= lambdaF_1 ii) false (|e_(-> (-> $$unsorted Bool) Bool)_11| ii))) )
50.58/50.85	  ( lambdaF_1 )
50.58/50.85	  ( (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.85	  ( (ll_3 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.85	  ( ((ll_4 skv_7) skv_7) )
50.58/50.85	  ( (ll_5 skv_7) )
50.58/50.85	  ( ((ll_6 lambdaF_1) lambdaF_1) )
50.58/50.85	  ( ((ll_6 lambdaF_1) (ll_5 skv_7)) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((ii (-> $$unsorted Bool))) (= (ite (= lambdaF_1 ii) lambdaF_1 (|e_(-> (-> $$unsorted Bool) $$unsorted Bool)_9| ii)) (skv_20 ii)) )
50.58/50.85	  ( lambdaF_1 )
50.58/50.85	  ( (ll_2 |e_(-> (-> $$unsorted Bool) Bool)_11|) )
50.58/50.85	  ( ((ll_4 skv_7) skv_7) )
50.58/50.85	  ( (ll_5 skv_7) )
50.58/50.85	)
50.58/50.85	(instantiation (forall ((BOUND_VARIABLE_690 $$unsorted) (BOUND_VARIABLE_691 $$unsorted)) (or (not (lambdaF_1 BOUND_VARIABLE_690)) (not (lambdaF_1 BOUND_VARIABLE_691)) (not (= (multiplication BOUND_VARIABLE_690 BOUND_VARIABLE_691) k_33))) )
50.58/50.85	  ( (sup ((ll_4 skv_7) skv_7)), (sup ((ll_4 skv_7) skv_7)) )
50.58/50.85	)
50.58/50.85	% SZS output end Proof for theBenchmark
50.58/50.85	EOF