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 : n011.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 13:59:57 EDT 2019 0.12/0.33 % CPUTime : 0.18/0.46 %----Proving TH0_NAR 0.18/0.47 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.18/0.47 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.36/0.54 % SZS status Theorem for theBenchmark 0.36/0.55 % SZS output start Proof for theBenchmark 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_3866 $$unsorted)) (ho_3 (ho_8 (ho_7 k_9 piotr) pepsi) BOUND_VARIABLE_3866) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_2382 $$unsorted)) (or (not (ho_3 (ho_2 k_1 skv_11) BOUND_VARIABLE_2382)) (not (ho_3 (ho_8 (ho_7 k_6 piotr) pepsi) BOUND_VARIABLE_2382))) ) 0.36/0.55 ( skv_13 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_2612 $$unsorted)) (not (ho_3 (ho_2 k_5 skv_11) BOUND_VARIABLE_2612)) ) 0.36/0.55 ( skv_14 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_2773 $$unsorted)) (or (not (ho_3 (ho_2 k_5 skv_11) BOUND_VARIABLE_2773)) (not (ho_3 (ho_8 (ho_7 k_6 piotr) beer) BOUND_VARIABLE_2773))) ) 0.36/0.55 ( skv_15 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_2896 $$unsorted)) (not (ho_3 (ho_2 k_1 skv_11) BOUND_VARIABLE_2896)) ) 0.36/0.55 ( skv_16 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_3341 $$unsorted)) (not (ho_3 (ho_2 k_4 skv_11) BOUND_VARIABLE_3341)) ) 0.36/0.55 ( skv_17 ) 0.36/0.55 ) 0.36/0.55 (skolem (forall ((BOUND_VARIABLE_2880 $$unsorted)) (or (not (ho_3 (ho_2 k_1 skv_11) BOUND_VARIABLE_2880)) (ho_3 (ho_8 (ho_7 k_10 jan) cola) BOUND_VARIABLE_2880)) ) 0.36/0.55 ( skv_18 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1829 $$unsorted) (BOUND_VARIABLE_1830 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_1829) BOUND_VARIABLE_1830)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_1829) BOUND_VARIABLE_1830)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1838 $$unsorted) (BOUND_VARIABLE_1839 $$unsorted) (BOUND_VARIABLE_1840 $$unsorted)) (let ((_let_0 (ho_2 k_4 BOUND_VARIABLE_1838))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1839)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_1839) BOUND_VARIABLE_1840)) (ho_3 _let_0 BOUND_VARIABLE_1840))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1850 $$unsorted) (BOUND_VARIABLE_1851 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_1850) BOUND_VARIABLE_1851)) (ho_3 (ho_2 k_5 BOUND_VARIABLE_1851) BOUND_VARIABLE_1850)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1859 $$unsorted) (BOUND_VARIABLE_1860 $$unsorted) (BOUND_VARIABLE_1861 $$unsorted)) (let ((_let_0 (ho_2 k_5 BOUND_VARIABLE_1859))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1860)) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_1860) BOUND_VARIABLE_1861)) (ho_3 _let_0 BOUND_VARIABLE_1861))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1871 $$unsorted) (BOUND_VARIABLE_1872 $$unsorted) (BOUND_VARIABLE_1873 $$unsorted)) (let ((_let_0 (ho_2 k_1 BOUND_VARIABLE_1871))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1872)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1872) BOUND_VARIABLE_1873)) (ho_3 _let_0 BOUND_VARIABLE_1873))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_1914 $$unsorted) (BOUND_VARIABLE_1918 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_1914) BOUND_VARIABLE_1918)) (ho_3 (ho_8 (ho_7 k_6 piotr) beer) BOUND_VARIABLE_1918)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2050 $$unsorted) (BOUND_VARIABLE_2054 mu) (BOUND_VARIABLE_2055 mu) (BOUND_VARIABLE_2056 $$unsorted)) (or (ho_3 (ho_8 (ho_7 k_9 BOUND_VARIABLE_2054) BOUND_VARIABLE_2055) BOUND_VARIABLE_2050) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2050) BOUND_VARIABLE_2056)) (not (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_2054) BOUND_VARIABLE_2055) BOUND_VARIABLE_2056))) ) 0.36/0.55 ( skv_11, jan, cola, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2147 $$unsorted) (BOUND_VARIABLE_2151 mu) (BOUND_VARIABLE_2152 $$unsorted)) (let ((_let_0 (ho_7 k_6 BOUND_VARIABLE_2151))) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2147) BOUND_VARIABLE_2152)) (not (ho_3 (ho_8 _let_0 pepsi) BOUND_VARIABLE_2152)) (ho_3 (ho_8 _let_0 cola) BOUND_VARIABLE_2152))) ) 0.36/0.55 ( skv_11, jan, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2288 $$unsorted) (BOUND_VARIABLE_2292 mu) (BOUND_VARIABLE_2293 mu) (BOUND_VARIABLE_2294 $$unsorted)) (or (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_2292) BOUND_VARIABLE_2293) BOUND_VARIABLE_2288) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2288) BOUND_VARIABLE_2294)) (not (ho_3 (ho_8 (ho_7 k_10 BOUND_VARIABLE_2292) BOUND_VARIABLE_2293) BOUND_VARIABLE_2294))) ) 0.36/0.55 ( skv_11, jan, cola, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2342 $$unsorted) (BOUND_VARIABLE_2346 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2342) BOUND_VARIABLE_2346)) (ho_3 (ho_8 (ho_7 k_6 jan) cola) BOUND_VARIABLE_2346)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2378 $$unsorted)) (not (forall ((BOUND_VARIABLE_2382 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2378) BOUND_VARIABLE_2382)) (not (ho_3 (ho_8 (ho_7 k_6 piotr) pepsi) BOUND_VARIABLE_2382))) )) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2410 $$unsorted) (BOUND_VARIABLE_2414 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2410) BOUND_VARIABLE_2414)) (ho_3 (ho_8 (ho_7 k_6 piotr) cola) BOUND_VARIABLE_2414)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2425 $$unsorted) (BOUND_VARIABLE_2426 $$unsorted) (BOUND_VARIABLE_2427 $$unsorted)) (let ((_let_0 (ho_2 k_4 BOUND_VARIABLE_2425))) (or (not (ho_3 _let_0 BOUND_VARIABLE_2426)) (not (ho_3 _let_0 BOUND_VARIABLE_2427)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_2426) BOUND_VARIABLE_2427))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2437 $$unsorted) (BOUND_VARIABLE_2438 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2437) BOUND_VARIABLE_2438)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_2437) BOUND_VARIABLE_2438)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2575 $$unsorted) (BOUND_VARIABLE_2579 mu) (BOUND_VARIABLE_2580 $$unsorted) (BOUND_VARIABLE_2581 $$unsorted)) (let ((_let_0 (ho_7 k_6 BOUND_VARIABLE_2579))) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2575) BOUND_VARIABLE_2580)) (ho_3 (ho_8 _let_0 cola) BOUND_VARIABLE_2580) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2580) BOUND_VARIABLE_2581)) (not (ho_3 (ho_8 _let_0 pepsi) BOUND_VARIABLE_2581)))) ) 0.36/0.55 ( skv_11, jan, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2599 $$unsorted) (BOUND_VARIABLE_2600 $$unsorted) (BOUND_VARIABLE_2601 $$unsorted)) (let ((_let_0 (ho_2 k_5 BOUND_VARIABLE_2599))) (or (not (ho_3 _let_0 BOUND_VARIABLE_2600)) (not (ho_3 _let_0 BOUND_VARIABLE_2601)) (ho_3 (ho_2 k_5 BOUND_VARIABLE_2600) BOUND_VARIABLE_2601))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2611 $$unsorted)) (not (forall ((BOUND_VARIABLE_2612 $$unsorted)) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2611) BOUND_VARIABLE_2612)) )) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2638 $$unsorted) (BOUND_VARIABLE_2642 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2638) BOUND_VARIABLE_2642)) (ho_3 (ho_8 (ho_7 k_6 piotr) pepsi) BOUND_VARIABLE_2642)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2727 $$unsorted) (BOUND_VARIABLE_2731 mu) (BOUND_VARIABLE_2732 $$unsorted)) (let ((_let_0 (ho_7 k_6 BOUND_VARIABLE_2731))) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_2727) BOUND_VARIABLE_2732)) (not (ho_3 (ho_8 _let_0 cola) BOUND_VARIABLE_2732)) (ho_3 (ho_8 _let_0 pepsi) BOUND_VARIABLE_2732))) ) 0.36/0.55 ( skv_11, jan, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2769 $$unsorted)) (not (forall ((BOUND_VARIABLE_2773 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2769) BOUND_VARIABLE_2773)) (not (ho_3 (ho_8 (ho_7 k_6 piotr) beer) BOUND_VARIABLE_2773))) )) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2871 $$unsorted) (BOUND_VARIABLE_2875 mu) (BOUND_VARIABLE_2876 mu)) (or (not (forall ((BOUND_VARIABLE_2880 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2871) BOUND_VARIABLE_2880)) (ho_3 (ho_8 (ho_7 k_10 BOUND_VARIABLE_2875) BOUND_VARIABLE_2876) BOUND_VARIABLE_2880)) )) (ho_3 (ho_8 (ho_7 k_10 BOUND_VARIABLE_2875) BOUND_VARIABLE_2876) BOUND_VARIABLE_2871)) ) 0.36/0.55 ( skv_11, jan, cola ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2895 $$unsorted)) (not (forall ((BOUND_VARIABLE_2896 $$unsorted)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2895) BOUND_VARIABLE_2896)) )) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_2905 $$unsorted) (BOUND_VARIABLE_2906 $$unsorted) (BOUND_VARIABLE_2907 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_2905) BOUND_VARIABLE_2906)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2906) BOUND_VARIABLE_2907)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_2905) BOUND_VARIABLE_2907)) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3046 $$unsorted) (BOUND_VARIABLE_3050 mu) (BOUND_VARIABLE_3051 $$unsorted) (BOUND_VARIABLE_3052 $$unsorted)) (let ((_let_0 (ho_7 k_6 BOUND_VARIABLE_3050))) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3046) BOUND_VARIABLE_3051)) (ho_3 (ho_8 _let_0 pepsi) BOUND_VARIABLE_3051) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3051) BOUND_VARIABLE_3052)) (not (ho_3 (ho_8 _let_0 cola) BOUND_VARIABLE_3052)))) ) 0.36/0.55 ( skv_11, jan, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3190 $$unsorted) (BOUND_VARIABLE_3194 mu) (BOUND_VARIABLE_3195 mu) (BOUND_VARIABLE_3196 $$unsorted)) (or (ho_3 (ho_8 (ho_7 k_9 BOUND_VARIABLE_3194) BOUND_VARIABLE_3195) BOUND_VARIABLE_3190) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3190) BOUND_VARIABLE_3196)) (not (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_3194) BOUND_VARIABLE_3195) BOUND_VARIABLE_3196))) ) 0.36/0.55 ( skv_11, jan, cola, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3317 $$unsorted) (BOUND_VARIABLE_3321 mu) (BOUND_VARIABLE_3322 mu) (BOUND_VARIABLE_3323 $$unsorted)) (or (ho_3 (ho_8 (ho_7 k_9 BOUND_VARIABLE_3321) BOUND_VARIABLE_3322) BOUND_VARIABLE_3317) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3317) BOUND_VARIABLE_3323)) (not (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_3321) BOUND_VARIABLE_3322) BOUND_VARIABLE_3323))) ) 0.36/0.55 ( skv_11, jan, cola, skv_11 ) 0.36/0.55 ( skv_11, piotr, pepsi, skv_13 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3340 $$unsorted)) (not (forall ((BOUND_VARIABLE_3341 $$unsorted)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3340) BOUND_VARIABLE_3341)) )) ) 0.36/0.55 ( skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3350 $$unsorted) (BOUND_VARIABLE_3351 $$unsorted) (BOUND_VARIABLE_3352 $$unsorted)) (let ((_let_0 (ho_2 k_1 BOUND_VARIABLE_3350))) (or (not (ho_3 _let_0 BOUND_VARIABLE_3351)) (not (ho_3 _let_0 BOUND_VARIABLE_3352)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_3351) BOUND_VARIABLE_3352))) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3362 $$unsorted) (BOUND_VARIABLE_3363 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3362) BOUND_VARIABLE_3363)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_3363) BOUND_VARIABLE_3362)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3371 $$unsorted) (BOUND_VARIABLE_3372 $$unsorted) (BOUND_VARIABLE_3373 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3371) BOUND_VARIABLE_3372)) (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3372) BOUND_VARIABLE_3373)) (ho_3 (ho_2 k_5 BOUND_VARIABLE_3371) BOUND_VARIABLE_3373)) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3414 $$unsorted) (BOUND_VARIABLE_3418 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3414) BOUND_VARIABLE_3418)) (ho_3 (ho_8 (ho_7 k_6 jan) pepsi) BOUND_VARIABLE_3418)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3429 $$unsorted) (BOUND_VARIABLE_3430 $$unsorted) (BOUND_VARIABLE_3431 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3429) BOUND_VARIABLE_3430)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3430) BOUND_VARIABLE_3431)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_3429) BOUND_VARIABLE_3431)) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3764 $$unsorted) (BOUND_VARIABLE_3768 mu) (BOUND_VARIABLE_3769 mu) (BOUND_VARIABLE_3770 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3764) BOUND_VARIABLE_3770)) (ho_3 (ho_8 (ho_7 k_10 BOUND_VARIABLE_3768) BOUND_VARIABLE_3769) BOUND_VARIABLE_3770) (not (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_3768) BOUND_VARIABLE_3769) BOUND_VARIABLE_3770)) (not (forall ((BOUND_VARIABLE_3781 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3770) BOUND_VARIABLE_3781)) (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_3768) BOUND_VARIABLE_3769) BOUND_VARIABLE_3781)) )) (not (forall ((BOUND_VARIABLE_3771 $$unsorted)) (or (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3770) BOUND_VARIABLE_3771)) (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_3768) BOUND_VARIABLE_3769) BOUND_VARIABLE_3771)) ))) ) 0.36/0.55 ( skv_11, jan, cola, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3803 $$unsorted) (BOUND_VARIABLE_3804 $$unsorted)) (or (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_3803) BOUND_VARIABLE_3804)) (ho_3 (ho_2 k_1 BOUND_VARIABLE_3804) BOUND_VARIABLE_3803)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3812 $$unsorted) (BOUND_VARIABLE_3813 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3812) BOUND_VARIABLE_3813)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_3812) BOUND_VARIABLE_3813)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3838 $$unsorted) (BOUND_VARIABLE_3842 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3838) BOUND_VARIABLE_3842)) (ho_3 (ho_8 (ho_7 k_6 jan) cola) BOUND_VARIABLE_3842)) ) 0.36/0.55 ( skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((BOUND_VARIABLE_3853 $$unsorted) (BOUND_VARIABLE_3854 $$unsorted) (BOUND_VARIABLE_3855 $$unsorted)) (or (not (ho_3 (ho_2 k_5 BOUND_VARIABLE_3853) BOUND_VARIABLE_3854)) (not (ho_3 (ho_2 k_4 BOUND_VARIABLE_3854) BOUND_VARIABLE_3855)) (ho_3 (ho_2 k_4 BOUND_VARIABLE_3853) BOUND_VARIABLE_3855)) ) 0.36/0.55 ( skv_11, skv_11, skv_11 ) 0.36/0.55 ) 0.36/0.55 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 0.36/0.55 ( |e_|u_(-> $$unsorted $$unsorted Bool)|_12|, |e_|u_(-> $$unsorted $$unsorted Bool)|_12| ) 0.36/0.55 ) 0.36/0.55 % SZS output end Proof for theBenchmark 0.36/0.55 EOF