0.10/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.15	% Command    : do_CVC4 %s
0.13/0.37	% Computer   : n011.cluster.edu
0.13/0.37	% Model      : x86_64 x86_64
0.13/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.37	% Memory     : 8042.1875MB
0.13/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.37	% CPULimit   : 180
0.13/0.37	% DateTime   : Thu Aug 29 14:16:27 EDT 2019
0.13/0.37	% CPUTime    : 
0.19/0.51	%----Proving TH0_NAR
0.19/0.52	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.19/0.52	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.36/0.59	% SZS status Theorem for theBenchmark
0.36/0.59	% SZS output start Proof for theBenchmark
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_3866 $$unsorted)) (ho_3 (ho_7 (ho_6 k_10 piotr) beer) BOUND_VARIABLE_3866) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_2372 $$unsorted)) (or (not (ho_3 (ho_2 k_9 skv_11) BOUND_VARIABLE_2372)) (not (ho_3 (ho_7 (ho_6 k_5 piotr) pepsi) BOUND_VARIABLE_2372))) )
0.36/0.59	  ( skv_13 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_2479 $$unsorted)) (not (ho_3 (ho_2 k_9 skv_11) BOUND_VARIABLE_2479)) )
0.36/0.59	  ( skv_14 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_2809 $$unsorted)) (not (ho_3 (ho_2 k_1 skv_11) BOUND_VARIABLE_2809)) )
0.36/0.59	  ( skv_15 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_3524 $$unsorted)) (or (not (ho_3 (ho_2 k_1 skv_11) BOUND_VARIABLE_3524)) (not (ho_3 (ho_7 (ho_6 k_5 piotr) beer) BOUND_VARIABLE_3524))) )
0.36/0.59	  ( skv_16 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_3832 $$unsorted)) (not (ho_3 (ho_2 k_4 skv_11) BOUND_VARIABLE_3832)) )
0.36/0.59	  ( skv_17 )
0.36/0.59	)
0.36/0.59	(skolem (forall ((BOUND_VARIABLE_2079 $$unsorted)) (or (not (ho_3 (ho_2 k_9 skv_11) BOUND_VARIABLE_2079)) (ho_3 (ho_7 (ho_6 k_8 jan) cola) BOUND_VARIABLE_2079)) )
0.36/0.59	  ( skv_18 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1829 $$unsorted) (BOUND_VARIABLE_1830 $$unsorted) (BOUND_VARIABLE_1831 $$unsorted)) (let ((_let_0 (ho_2 k_1 BOUND_VARIABLE_1829))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1830)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1830) BOUND_VARIABLE_1831)) (ho_3 _let_0 BOUND_VARIABLE_1831))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1841 $$unsorted) (BOUND_VARIABLE_1842 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1841) BOUND_VARIABLE_1842)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_1841) BOUND_VARIABLE_1842)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1881 $$unsorted) (BOUND_VARIABLE_1885 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1881) BOUND_VARIABLE_1885)) (ho_3 (ho_7 (ho_6 k_5 piotr) cola) BOUND_VARIABLE_1885)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1913 $$unsorted) (BOUND_VARIABLE_1917 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1913) BOUND_VARIABLE_1917)) (ho_3 (ho_7 (ho_6 k_5 piotr) beer) BOUND_VARIABLE_1917)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1928 $$unsorted) (BOUND_VARIABLE_1929 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1928) BOUND_VARIABLE_1929)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_1929) BOUND_VARIABLE_1928)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_1954 $$unsorted) (BOUND_VARIABLE_1958 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1954) BOUND_VARIABLE_1958)) (ho_3 (ho_7 (ho_6 k_5 piotr) pepsi) BOUND_VARIABLE_1958)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2070 $$unsorted) (BOUND_VARIABLE_2074 mu) (BOUND_VARIABLE_2075 mu)) (or (not (forall ((BOUND_VARIABLE_2079 $$unsorted)) (or (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_2070) BOUND_VARIABLE_2079)) (ho_3 (ho_7 (ho_6 k_8 BOUND_VARIABLE_2074) BOUND_VARIABLE_2075) BOUND_VARIABLE_2079)) )) (ho_3 (ho_7 (ho_6 k_8 BOUND_VARIABLE_2074) BOUND_VARIABLE_2075) BOUND_VARIABLE_2070)) )
0.36/0.59	  ( skv_11, jan, cola )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2094 $$unsorted) (BOUND_VARIABLE_2095 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2094) BOUND_VARIABLE_2095)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_2095) BOUND_VARIABLE_2094)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2103 $$unsorted) (BOUND_VARIABLE_2104 $$unsorted) (BOUND_VARIABLE_2105 $$unsorted)) (let ((_let_0 (ho_2 k_9 BOUND_VARIABLE_2103))) (or (not (ho_3 _let_0 BOUND_VARIABLE_2104)) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_2104) BOUND_VARIABLE_2105)) (ho_3 _let_0 BOUND_VARIABLE_2105))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2146 $$unsorted) (BOUND_VARIABLE_2150 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2146) BOUND_VARIABLE_2150)) (ho_3 (ho_7 (ho_6 k_5 jan) pepsi) BOUND_VARIABLE_2150)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2307 $$unsorted) (BOUND_VARIABLE_2311 mu) (BOUND_VARIABLE_2312 $$unsorted) (BOUND_VARIABLE_2313 $$unsorted)) (let ((_let_0 (ho_6 k_5 BOUND_VARIABLE_2311))) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2307) BOUND_VARIABLE_2312)) (ho_3 (ho_7 _let_0 cola) BOUND_VARIABLE_2312) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2312) BOUND_VARIABLE_2313)) (not (ho_3 (ho_7 _let_0 pepsi) BOUND_VARIABLE_2313)))) )
0.36/0.59	  ( skv_11, jan, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2368 $$unsorted)) (not (forall ((BOUND_VARIABLE_2372 $$unsorted)) (or (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_2368) BOUND_VARIABLE_2372)) (not (ho_3 (ho_7 (ho_6 k_5 piotr) pepsi) BOUND_VARIABLE_2372))) )) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2457 $$unsorted) (BOUND_VARIABLE_2461 mu) (BOUND_VARIABLE_2462 $$unsorted)) (let ((_let_0 (ho_6 k_5 BOUND_VARIABLE_2461))) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2457) BOUND_VARIABLE_2462)) (not (ho_3 (ho_7 _let_0 pepsi) BOUND_VARIABLE_2462)) (ho_3 (ho_7 _let_0 cola) BOUND_VARIABLE_2462))) )
0.36/0.59	  ( skv_11, jan, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2478 $$unsorted)) (not (forall ((BOUND_VARIABLE_2479 $$unsorted)) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_2478) BOUND_VARIABLE_2479)) )) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2488 $$unsorted) (BOUND_VARIABLE_2489 $$unsorted) (BOUND_VARIABLE_2490 $$unsorted)) (let ((_let_0 (ho_2 k_9 BOUND_VARIABLE_2488))) (or (not (ho_3 _let_0 BOUND_VARIABLE_2489)) (not (ho_3 _let_0 BOUND_VARIABLE_2490)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_2489) BOUND_VARIABLE_2490))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2629 $$unsorted) (BOUND_VARIABLE_2633 mu) (BOUND_VARIABLE_2634 $$unsorted) (BOUND_VARIABLE_2635 $$unsorted)) (let ((_let_0 (ho_6 k_5 BOUND_VARIABLE_2633))) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2629) BOUND_VARIABLE_2634)) (ho_3 (ho_7 _let_0 pepsi) BOUND_VARIABLE_2634) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2634) BOUND_VARIABLE_2635)) (not (ho_3 (ho_7 _let_0 cola) BOUND_VARIABLE_2635)))) )
0.36/0.59	  ( skv_11, jan, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2773 $$unsorted) (BOUND_VARIABLE_2777 mu) (BOUND_VARIABLE_2778 mu) (BOUND_VARIABLE_2779 $$unsorted)) (or (ho_3 (ho_7 (ho_6 k_10 BOUND_VARIABLE_2777) BOUND_VARIABLE_2778) BOUND_VARIABLE_2773) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2773) BOUND_VARIABLE_2779)) (not (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_2777) BOUND_VARIABLE_2778) BOUND_VARIABLE_2779))) )
0.36/0.59	  ( skv_11, jan, cola, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2796 $$unsorted) (BOUND_VARIABLE_2797 $$unsorted) (BOUND_VARIABLE_2798 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2796) BOUND_VARIABLE_2797)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2797) BOUND_VARIABLE_2798)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_2796) BOUND_VARIABLE_2798)) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2808 $$unsorted)) (not (forall ((BOUND_VARIABLE_2809 $$unsorted)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2808) BOUND_VARIABLE_2809)) )) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2818 $$unsorted) (BOUND_VARIABLE_2819 $$unsorted) (BOUND_VARIABLE_2820 $$unsorted)) (let ((_let_0 (ho_2 k_1 BOUND_VARIABLE_2818))) (or (not (ho_3 _let_0 BOUND_VARIABLE_2819)) (not (ho_3 _let_0 BOUND_VARIABLE_2820)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_2819) BOUND_VARIABLE_2820))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2830 $$unsorted) (BOUND_VARIABLE_2831 $$unsorted) (BOUND_VARIABLE_2832 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2830) BOUND_VARIABLE_2831)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2831) BOUND_VARIABLE_2832)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_2830) BOUND_VARIABLE_2832)) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2946 $$unsorted) (BOUND_VARIABLE_2950 mu) (BOUND_VARIABLE_2951 mu) (BOUND_VARIABLE_2952 $$unsorted)) (or (ho_3 (ho_7 (ho_6 k_10 BOUND_VARIABLE_2950) BOUND_VARIABLE_2951) BOUND_VARIABLE_2946) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2946) BOUND_VARIABLE_2952)) (not (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_2950) BOUND_VARIABLE_2951) BOUND_VARIABLE_2952))) )
0.36/0.59	  ( skv_11, jan, cola, skv_11 )
0.36/0.59	  ( skv_11, piotr, beer, skv_16 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_2986 $$unsorted) (BOUND_VARIABLE_2990 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2986) BOUND_VARIABLE_2990)) (ho_3 (ho_7 (ho_6 k_5 jan) cola) BOUND_VARIABLE_2990)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3001 $$unsorted) (BOUND_VARIABLE_3002 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3001) BOUND_VARIABLE_3002)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_3001) BOUND_VARIABLE_3002)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3333 $$unsorted) (BOUND_VARIABLE_3337 mu) (BOUND_VARIABLE_3338 mu) (BOUND_VARIABLE_3339 $$unsorted)) (or (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3333) BOUND_VARIABLE_3339)) (ho_3 (ho_7 (ho_6 k_8 BOUND_VARIABLE_3337) BOUND_VARIABLE_3338) BOUND_VARIABLE_3339) (not (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_3337) BOUND_VARIABLE_3338) BOUND_VARIABLE_3339)) (not (forall ((BOUND_VARIABLE_3350 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3339) BOUND_VARIABLE_3350)) (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_3337) BOUND_VARIABLE_3338) BOUND_VARIABLE_3350)) )) (not (forall ((BOUND_VARIABLE_3340 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3339) BOUND_VARIABLE_3340)) (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_3337) BOUND_VARIABLE_3338) BOUND_VARIABLE_3340)) ))) )
0.36/0.59	  ( skv_11, jan, cola, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3476 $$unsorted) (BOUND_VARIABLE_3480 mu) (BOUND_VARIABLE_3481 mu) (BOUND_VARIABLE_3482 $$unsorted)) (or (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_3480) BOUND_VARIABLE_3481) BOUND_VARIABLE_3476) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3476) BOUND_VARIABLE_3482)) (not (ho_3 (ho_7 (ho_6 k_8 BOUND_VARIABLE_3480) BOUND_VARIABLE_3481) BOUND_VARIABLE_3482))) )
0.36/0.59	  ( skv_11, jan, cola, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3520 $$unsorted)) (not (forall ((BOUND_VARIABLE_3524 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3520) BOUND_VARIABLE_3524)) (not (ho_3 (ho_7 (ho_6 k_5 piotr) beer) BOUND_VARIABLE_3524))) )) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3535 $$unsorted) (BOUND_VARIABLE_3536 $$unsorted) (BOUND_VARIABLE_3537 $$unsorted)) (let ((_let_0 (ho_2 k_4 BOUND_VARIABLE_3535))) (or (not (ho_3 _let_0 BOUND_VARIABLE_3536)) (not (ho_3 _let_0 BOUND_VARIABLE_3537)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_3536) BOUND_VARIABLE_3537))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3547 $$unsorted) (BOUND_VARIABLE_3548 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3547) BOUND_VARIABLE_3548)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_3547) BOUND_VARIABLE_3548)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3630 $$unsorted) (BOUND_VARIABLE_3634 mu) (BOUND_VARIABLE_3635 $$unsorted)) (let ((_let_0 (ho_6 k_5 BOUND_VARIABLE_3634))) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3630) BOUND_VARIABLE_3635)) (not (ho_3 (ho_7 _let_0 cola) BOUND_VARIABLE_3635)) (ho_3 (ho_7 _let_0 pepsi) BOUND_VARIABLE_3635))) )
0.36/0.59	  ( skv_11, jan, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3755 $$unsorted) (BOUND_VARIABLE_3759 mu) (BOUND_VARIABLE_3760 mu) (BOUND_VARIABLE_3761 $$unsorted)) (or (ho_3 (ho_7 (ho_6 k_10 BOUND_VARIABLE_3759) BOUND_VARIABLE_3760) BOUND_VARIABLE_3755) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3755) BOUND_VARIABLE_3761)) (not (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_3759) BOUND_VARIABLE_3760) BOUND_VARIABLE_3761))) )
0.36/0.59	  ( skv_11, jan, cola, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3778 $$unsorted) (BOUND_VARIABLE_3779 $$unsorted) (BOUND_VARIABLE_3780 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3778) BOUND_VARIABLE_3779)) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3779) BOUND_VARIABLE_3780)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_3778) BOUND_VARIABLE_3780)) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3807 $$unsorted) (BOUND_VARIABLE_3811 $$unsorted)) (or (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3807) BOUND_VARIABLE_3811)) (ho_3 (ho_7 (ho_6 k_5 jan) cola) BOUND_VARIABLE_3811)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3822 $$unsorted) (BOUND_VARIABLE_3823 $$unsorted)) (or (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3822) BOUND_VARIABLE_3823)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_3823) BOUND_VARIABLE_3822)) )
0.36/0.59	  ( skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3831 $$unsorted)) (not (forall ((BOUND_VARIABLE_3832 $$unsorted)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3831) BOUND_VARIABLE_3832)) )) )
0.36/0.59	  ( skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3841 $$unsorted) (BOUND_VARIABLE_3842 $$unsorted) (BOUND_VARIABLE_3843 $$unsorted)) (let ((_let_0 (ho_2 k_4 BOUND_VARIABLE_3841))) (or (not (ho_3 _let_0 BOUND_VARIABLE_3842)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3842) BOUND_VARIABLE_3843)) (ho_3 _let_0 BOUND_VARIABLE_3843))) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((BOUND_VARIABLE_3853 $$unsorted) (BOUND_VARIABLE_3854 $$unsorted) (BOUND_VARIABLE_3855 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3853) BOUND_VARIABLE_3854)) (not (ho_3 (ho_2 k_9 BOUND_VARIABLE_3854) BOUND_VARIABLE_3855)) (ho_3 (ho_2 k_9 BOUND_VARIABLE_3853) BOUND_VARIABLE_3855)) )
0.36/0.59	  ( skv_11, skv_11, skv_11 )
0.36/0.59	)
0.36/0.59	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) )
0.36/0.59	  ( |e_|u_(-> $$unsorted $$unsorted Bool)|_12|, |e_|u_(-> $$unsorted $$unsorted Bool)|_12| )
0.36/0.59	)
0.36/0.59	% SZS output end Proof for theBenchmark
0.36/0.60	EOF