0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : do_CVC4 %s %d 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 08:02:43 EDT 2020 0.13/0.35 % CPUTime : 0.22/0.48 %----Proving TH0 0.22/0.49 ------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960... 0.22/0.49 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.48/0.66 % SZS status Theorem for theBenchmark 0.48/0.67 % SZS output start Proof for theBenchmark 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2733 $$unsorted) (BOUND_VARIABLE_2684 $$unsorted) (BOUND_VARIABLE_2685 $$unsorted) (BOUND_VARIABLE_2686 mu) (BOUND_VARIABLE_2687 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2733) BOUND_VARIABLE_2684)) (not (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2684) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2684) BOUND_VARIABLE_2685)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2686) BOUND_VARIABLE_2685)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2685) BOUND_VARIABLE_2687)) (not (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2687) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2686) BOUND_VARIABLE_2688)) ))) ) 0.48/0.67 ( skv_7 skv_8 skv_9 skv_10 skv_11 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2705)) ) 0.48/0.67 ( skv_12 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2740 $$unsorted) (BOUND_VARIABLE_2640 $$unsorted) (BOUND_VARIABLE_2641 $$unsorted) (BOUND_VARIABLE_2642 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2740) BOUND_VARIABLE_2640)) (not (forall ((BOUND_VARIABLE_2656 $$unsorted) (BOUND_VARIABLE_2657 mu) (BOUND_VARIABLE_2658 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2640) BOUND_VARIABLE_2656)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2657) BOUND_VARIABLE_2656)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2656) BOUND_VARIABLE_2658)) (not (forall ((BOUND_VARIABLE_2659 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2658) BOUND_VARIABLE_2659)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2657) BOUND_VARIABLE_2659)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2640) BOUND_VARIABLE_2641)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2642) BOUND_VARIABLE_2641)) (not (forall ((BOUND_VARIABLE_2643 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2641) BOUND_VARIABLE_2643)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2642) BOUND_VARIABLE_2643)) ))) ) 0.48/0.67 ( skv_13 skv_14 skv_15 skv_16 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_17 skv_18 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_19 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_7) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_20 skv_21 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_7) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_22 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_18) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_23 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_24 skv_25 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_26 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_27 skv_28 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_15) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_29 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_30 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_18) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_31 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_15) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_32 skv_33 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_17) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_34 skv_35 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_19) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_36 skv_37 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_38 skv_39 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_13) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_40 skv_41 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_20) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_42 skv_43 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_22) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_44 skv_45 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_23) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_46 skv_47 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_24) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_48 skv_49 ) 0.48/0.67 ) 0.48/0.67 (skolem (forall ((BOUND_VARIABLE_2659 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2659)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2659)) ) 0.48/0.67 ( skv_50 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_1590 $$unsorted) (BOUND_VARIABLE_1591 $$unsorted) (BOUND_VARIABLE_1592 $$unsorted)) (let ((_let_0 (ho_5 k_4 BOUND_VARIABLE_1590))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1591)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_1591) BOUND_VARIABLE_1592)) (ho_3 _let_0 BOUND_VARIABLE_1592))) ) 0.48/0.67 ( skv_7, skv_7, skv_12 ) 0.48/0.67 ( skv_7, skv_7, skv_14 ) 0.48/0.67 ( skv_7, skv_7, skv_15 ) 0.48/0.67 ( skv_7, skv_8, skv_9 ) 0.48/0.67 ( skv_7, skv_8, skv_11 ) 0.48/0.67 ( skv_7, skv_8, skv_12 ) 0.48/0.67 ( skv_7, skv_9, skv_11 ) 0.48/0.67 ( skv_7, skv_9, skv_12 ) 0.48/0.67 ( skv_7, skv_11, skv_11 ) 0.48/0.67 ( skv_7, skv_12, skv_9 ) 0.48/0.67 ( skv_7, skv_13, skv_13 ) 0.48/0.67 ( skv_7, skv_15, skv_13 ) 0.48/0.67 ( skv_7, skv_20, skv_8 ) 0.48/0.67 ( skv_7, skv_20, skv_9 ) 0.48/0.67 ( skv_7, skv_20, skv_13 ) 0.48/0.67 ( skv_7, skv_22, skv_8 ) 0.48/0.67 ( skv_7, skv_22, skv_9 ) 0.48/0.67 ( skv_8, skv_7, skv_11 ) 0.48/0.67 ( skv_8, skv_8, skv_12 ) 0.48/0.67 ( skv_8, skv_8, skv_13 ) 0.48/0.67 ( skv_8, skv_9, skv_11 ) 0.48/0.67 ( skv_8, skv_9, skv_12 ) 0.48/0.67 ( skv_8, skv_11, skv_12 ) 0.48/0.67 ( skv_8, skv_17, skv_9 ) 0.48/0.67 ( skv_8, skv_17, skv_12 ) 0.48/0.67 ( skv_8, skv_23, skv_7 ) 0.48/0.67 ( skv_8, skv_23, skv_9 ) 0.48/0.67 ( skv_8, skv_23, skv_11 ) 0.48/0.67 ( skv_9, skv_7, skv_12 ) 0.48/0.67 ( skv_9, skv_8, skv_11 ) 0.48/0.67 ( skv_9, skv_8, skv_12 ) 0.48/0.67 ( skv_9, skv_9, skv_13 ) 0.48/0.67 ( skv_9, skv_13, skv_19 ) 0.48/0.67 ( skv_9, skv_24, skv_8 ) 0.48/0.67 ( skv_9, skv_24, skv_11 ) 0.48/0.67 ( skv_9, skv_24, skv_12 ) 0.48/0.67 ( skv_9, skv_31, skv_11 ) 0.48/0.67 ( skv_9, skv_31, skv_12 ) 0.48/0.67 ( skv_9, skv_50, skv_12 ) 0.48/0.67 ( skv_11, skv_7, skv_12 ) 0.48/0.67 ( skv_11, skv_8, skv_8 ) 0.48/0.67 ( skv_11, skv_11, skv_12 ) 0.48/0.67 ( skv_11, skv_19, skv_7 ) 0.48/0.67 ( skv_11, skv_19, skv_12 ) 0.48/0.67 ( skv_11, skv_27, skv_7 ) 0.48/0.67 ( skv_11, skv_27, skv_12 ) 0.48/0.67 ( skv_12, skv_9, skv_9 ) 0.48/0.67 ( skv_12, skv_12, skv_7 ) 0.48/0.67 ( skv_13, skv_13, skv_11 ) 0.48/0.67 ( skv_13, skv_40, skv_12 ) 0.48/0.67 ( skv_14, skv_11, skv_8 ) 0.48/0.67 ( skv_14, skv_15, skv_11 ) 0.48/0.67 ( skv_14, skv_15, skv_12 ) 0.48/0.67 ( skv_14, skv_15, skv_13 ) 0.48/0.67 ( skv_14, skv_26, skv_7 ) 0.48/0.67 ( skv_14, skv_26, skv_8 ) 0.48/0.67 ( skv_14, skv_30, skv_7 ) 0.48/0.67 ( skv_14, skv_30, skv_8 ) 0.48/0.67 ( skv_14, skv_38, skv_11 ) 0.48/0.67 ( skv_15, skv_7, skv_22 ) 0.48/0.67 ( skv_15, skv_29, skv_7 ) 0.48/0.67 ( skv_15, skv_29, skv_22 ) 0.48/0.67 ( skv_15, skv_32, skv_22 ) 0.48/0.67 ( skv_17, skv_8, skv_23 ) 0.48/0.67 ( skv_17, skv_34, skv_23 ) 0.48/0.67 ( skv_19, skv_11, skv_11 ) 0.48/0.67 ( skv_19, skv_36, skv_12 ) 0.48/0.67 ( skv_20, skv_42, skv_8 ) 0.48/0.67 ( skv_22, skv_44, skv_9 ) 0.48/0.67 ( skv_23, skv_46, skv_11 ) 0.48/0.67 ( skv_24, skv_48, skv_11 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_1602 $$unsorted)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_1602) BOUND_VARIABLE_1602) ) 0.48/0.67 ( skv_7 ) 0.48/0.67 ( skv_8 ) 0.48/0.67 ( skv_9 ) 0.48/0.67 ( skv_11 ) 0.48/0.67 ( skv_12 ) 0.48/0.67 ( skv_13 ) 0.48/0.67 ( skv_14 ) 0.48/0.67 ( skv_15 ) 0.48/0.67 ( skv_17 ) 0.48/0.67 ( skv_19 ) 0.48/0.67 ( skv_20 ) 0.48/0.67 ( skv_22 ) 0.48/0.67 ( skv_23 ) 0.48/0.67 ( skv_24 ) 0.48/0.67 ( skv_26 ) 0.48/0.67 ( skv_27 ) 0.48/0.67 ( skv_29 ) 0.48/0.67 ( skv_30 ) 0.48/0.67 ( skv_31 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((X mu) (V $$unsorted) (W $$unsorted)) (let ((_let_0 (ho_2 k_1 X))) (or (not (ho_3 (ho_5 k_4 V) W)) (not (ho_3 _let_0 V)) (ho_3 _let_0 W))) ) 0.48/0.67 ( skv_10, skv_7, skv_7 ) 0.48/0.67 ( skv_10, skv_7, skv_8 ) 0.48/0.67 ( skv_10, skv_8, skv_8 ) 0.48/0.67 ( skv_10, skv_9, skv_9 ) 0.48/0.67 ( skv_10, skv_9, skv_11 ) 0.48/0.67 ( skv_10, skv_9, skv_12 ) 0.48/0.67 ( skv_10, skv_11, skv_11 ) 0.48/0.67 ( skv_10, skv_12, skv_9 ) 0.48/0.67 ( skv_10, skv_12, skv_12 ) 0.48/0.67 ( skv_10, skv_13, skv_7 ) 0.48/0.67 ( skv_10, skv_13, skv_9 ) 0.48/0.67 ( skv_10, skv_13, skv_12 ) 0.48/0.67 ( skv_10, skv_13, skv_14 ) 0.48/0.67 ( skv_10, skv_14, skv_11 ) 0.48/0.67 ( skv_10, skv_14, skv_12 ) 0.48/0.67 ( skv_10, skv_15, skv_8 ) 0.48/0.67 ( skv_10, skv_15, skv_15 ) 0.48/0.67 ( skv_10, skv_17, skv_11 ) 0.48/0.67 ( skv_10, skv_17, skv_17 ) 0.48/0.67 ( skv_16, skv_7, skv_7 ) 0.48/0.67 ( skv_16, skv_8, skv_8 ) 0.48/0.67 ( skv_16, skv_9, skv_9 ) 0.48/0.67 ( skv_16, skv_11, skv_9 ) 0.48/0.67 ( skv_16, skv_11, skv_27 ) 0.48/0.67 ( skv_16, skv_13, skv_13 ) 0.48/0.67 ( skv_16, skv_15, skv_29 ) 0.48/0.67 ( skv_16, skv_15, skv_32 ) 0.48/0.67 ( skv_16, skv_17, skv_17 ) 0.48/0.67 ( skv_18, skv_7, skv_7 ) 0.48/0.67 ( skv_18, skv_8, skv_8 ) 0.48/0.67 ( skv_18, skv_9, skv_24 ) 0.48/0.67 ( skv_18, skv_11, skv_11 ) 0.48/0.67 ( skv_18, skv_12, skv_7 ) 0.48/0.67 ( skv_18, skv_12, skv_12 ) 0.48/0.67 ( skv_18, skv_17, skv_34 ) 0.48/0.67 ( skv_21, skv_7, skv_7 ) 0.48/0.67 ( skv_21, skv_9, skv_9 ) 0.48/0.67 ( skv_21, skv_11, skv_19 ) 0.48/0.67 ( skv_21, skv_19, skv_11 ) 0.48/0.67 ( skv_21, skv_20, skv_42 ) 0.48/0.67 ( skv_25, skv_11, skv_11 ) 0.48/0.67 ( skv_25, skv_24, skv_48 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2733 $$unsorted) (BOUND_VARIABLE_2684 $$unsorted) (BOUND_VARIABLE_2685 $$unsorted) (BOUND_VARIABLE_2686 mu) (BOUND_VARIABLE_2687 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2733) BOUND_VARIABLE_2684)) (not (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2684) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2684) BOUND_VARIABLE_2685)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2686) BOUND_VARIABLE_2685)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2685) BOUND_VARIABLE_2687)) (not (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2687) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2686) BOUND_VARIABLE_2688)) ))) ) 0.48/0.67 ( skv_7, skv_7, skv_7, skv_16, skv_7 ) 0.48/0.67 ( skv_7, skv_7, skv_13, skv_10, skv_14 ) 0.48/0.67 ( skv_7, skv_7, skv_14, skv_10, skv_15 ) 0.48/0.67 ( skv_7, skv_7, skv_15, skv_16, skv_15 ) 0.48/0.67 ( skv_7, skv_7, skv_17, skv_18, skv_17 ) 0.48/0.67 ( skv_7, skv_12, skv_7, skv_21, skv_7 ) 0.48/0.67 ( skv_7, skv_20, skv_13, skv_16, skv_13 ) 0.48/0.67 ( skv_7, skv_22, skv_9, skv_18, skv_24 ) 0.48/0.67 ( skv_8, skv_8, skv_8, skv_16, skv_8 ) 0.48/0.67 ( skv_8, skv_8, skv_8, skv_18, skv_8 ) 0.48/0.67 ( skv_8, skv_8, skv_13, skv_16, skv_14 ) 0.48/0.67 ( skv_8, skv_8, skv_15, skv_16, skv_15 ) 0.48/0.67 ( skv_8, skv_8, skv_17, skv_18, skv_17 ) 0.48/0.67 ( skv_8, skv_11, skv_8, skv_10, skv_11 ) 0.48/0.67 ( skv_8, skv_12, skv_9, skv_21, skv_9 ) 0.48/0.67 ( skv_8, skv_17, skv_9, skv_16, skv_9 ) 0.48/0.67 ( skv_8, skv_17, skv_12, skv_18, skv_12 ) 0.48/0.67 ( skv_8, skv_23, skv_7, skv_21, skv_7 ) 0.48/0.67 ( skv_9, skv_9, skv_7, skv_18, skv_7 ) 0.48/0.67 ( skv_9, skv_9, skv_9, skv_18, skv_9 ) 0.48/0.67 ( skv_9, skv_9, skv_13, skv_10, skv_14 ) 0.48/0.67 ( skv_9, skv_9, skv_20, skv_21, skv_42 ) 0.48/0.67 ( skv_9, skv_24, skv_12, skv_18, skv_7 ) 0.48/0.67 ( skv_11, skv_11, skv_11, skv_18, skv_11 ) 0.48/0.67 ( skv_11, skv_11, skv_11, skv_25, skv_11 ) 0.48/0.67 ( skv_11, skv_11, skv_24, skv_25, skv_48 ) 0.48/0.67 ( skv_11, skv_19, skv_11, skv_21, skv_19 ) 0.48/0.67 ( skv_11, skv_19, skv_11, skv_25, skv_11 ) 0.48/0.67 ( skv_13, skv_13, skv_11, skv_16, skv_27 ) 0.48/0.67 ( skv_13, skv_14, skv_15, skv_10, skv_29 ) 0.48/0.67 ( skv_13, skv_14, skv_19, skv_21, skv_11 ) 0.48/0.67 ( skv_14, skv_15, skv_12, skv_10, skv_12 ) 0.48/0.67 ( skv_14, skv_15, skv_17, skv_16, skv_34 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2703 $$unsorted) (BOUND_VARIABLE_2704 mu)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2703)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2704) BOUND_VARIABLE_2703)) (not (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2703) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2704) BOUND_VARIABLE_2705)) ))) ) 0.48/0.67 ( skv_8, skv_10 ) 0.48/0.67 ( skv_9, skv_10 ) 0.48/0.67 ( skv_11, skv_10 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2688 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2688)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2688)) ) 0.48/0.67 ( skv_12 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2705)) ) 0.48/0.67 ( skv_9 ) 0.48/0.67 ( skv_13 ) 0.48/0.67 ( skv_19 ) 0.48/0.67 ( skv_24 ) 0.48/0.67 ( skv_26 ) 0.48/0.67 ( skv_29 ) 0.48/0.67 ( skv_31 ) 0.48/0.67 ( skv_50 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2656 $$unsorted) (BOUND_VARIABLE_2657 mu) (BOUND_VARIABLE_2658 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2656)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2657) BOUND_VARIABLE_2656)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2656) BOUND_VARIABLE_2658)) (not (forall ((BOUND_VARIABLE_2659 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2658) BOUND_VARIABLE_2659)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2657) BOUND_VARIABLE_2659)) ))) ) 0.48/0.67 ( skv_7, skv_16, skv_7 ) 0.48/0.67 ( skv_8, skv_10, skv_11 ) 0.48/0.67 ( skv_8, skv_18, skv_8 ) 0.48/0.67 ( skv_9, skv_16, skv_9 ) 0.48/0.67 ( skv_11, skv_18, skv_12 ) 0.48/0.67 ( skv_11, skv_21, skv_11 ) 0.48/0.67 ( skv_12, skv_18, skv_9 ) 0.48/0.67 ( skv_13, skv_10, skv_14 ) 0.48/0.67 ( skv_14, skv_10, skv_15 ) 0.48/0.67 ( skv_14, skv_16, skv_14 ) 0.48/0.67 ( skv_14, skv_18, skv_15 ) 0.48/0.67 ( skv_14, skv_21, skv_26 ) 0.48/0.67 ( skv_14, skv_25, skv_14 ) 0.48/0.67 ( skv_14, skv_28, skv_26 ) 0.48/0.67 ( skv_14, skv_33, skv_15 ) 0.48/0.67 ( skv_14, skv_35, skv_14 ) 0.48/0.67 ( skv_14, skv_37, skv_26 ) 0.48/0.67 ( skv_14, skv_39, skv_30 ) 0.48/0.67 ( skv_14, skv_41, skv_38 ) 0.48/0.67 ( skv_15, skv_10, skv_15 ) 0.48/0.67 ( skv_15, skv_16, skv_15 ) 0.48/0.67 ( skv_15, skv_18, skv_29 ) 0.48/0.67 ( skv_15, skv_21, skv_29 ) 0.48/0.67 ( skv_15, skv_25, skv_32 ) 0.48/0.67 ( skv_17, skv_16, skv_17 ) 0.48/0.67 ( skv_19, skv_10, skv_11 ) 0.48/0.67 ( skv_19, skv_21, skv_36 ) 0.48/0.67 ( skv_20, skv_28, skv_42 ) 0.48/0.67 ( skv_22, skv_43, skv_44 ) 0.48/0.67 ( skv_23, skv_45, skv_46 ) 0.48/0.67 ( skv_24, skv_47, skv_48 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2643 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_15) BOUND_VARIABLE_2643)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2643)) ) 0.48/0.67 ( skv_15 ) 0.48/0.67 ( skv_22 ) 0.48/0.67 ( skv_29 ) 0.48/0.67 ( skv_30 ) 0.48/0.67 ( skv_32 ) 0.48/0.67 ( skv_50 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_17) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 skv_18) BOUND_VARIABLE_2705)) ) 0.48/0.67 ( skv_17 ) 0.48/0.67 ( skv_23 ) 0.48/0.67 ( skv_31 ) 0.48/0.67 ( skv_34 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_20) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 skv_21) BOUND_VARIABLE_2705)) ) 0.48/0.67 ( skv_42 ) 0.48/0.67 ) 0.48/0.67 (instantiation (forall ((BOUND_VARIABLE_2705 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_24) BOUND_VARIABLE_2705)) (ho_3 (ho_2 k_6 skv_25) BOUND_VARIABLE_2705)) ) 0.48/0.67 ( skv_48 ) 0.48/0.67 ) 0.48/0.67 % SZS output end Proof for theBenchmark 0.48/0.67 EOF