0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : do_CVC4 %s 0.12/0.33 % Computer : n018.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 12:46:36 EDT 2019 0.12/0.33 % CPUTime : 0.18/0.45 %----Proving TH0_NAR 0.18/0.46 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.18/0.46 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.18/0.58 % SZS status Theorem for theBenchmark 0.18/0.58 % SZS output start Proof for theBenchmark 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2650 $$unsorted) (BOUND_VARIABLE_2698 $$unsorted) (BOUND_VARIABLE_2699 $$unsorted) (BOUND_VARIABLE_2700 mu) (BOUND_VARIABLE_2701 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2650) BOUND_VARIABLE_2698)) (not (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2698) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2698) BOUND_VARIABLE_2699)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2700) BOUND_VARIABLE_2699)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2699) BOUND_VARIABLE_2701)) (not (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2701) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2700) BOUND_VARIABLE_2702)) ))) ) 0.18/0.58 ( skv_7 skv_8 skv_9 skv_10 skv_11 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2719)) ) 0.18/0.58 ( skv_12 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2650 $$unsorted) (BOUND_VARIABLE_2654 $$unsorted) (BOUND_VARIABLE_2655 $$unsorted) (BOUND_VARIABLE_2656 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2650) BOUND_VARIABLE_2654)) (not (forall ((BOUND_VARIABLE_2670 $$unsorted) (BOUND_VARIABLE_2671 mu) (BOUND_VARIABLE_2672 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2654) BOUND_VARIABLE_2670)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2671) BOUND_VARIABLE_2670)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2670) BOUND_VARIABLE_2672)) (not (forall ((BOUND_VARIABLE_2673 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2672) BOUND_VARIABLE_2673)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2671) BOUND_VARIABLE_2673)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2654) BOUND_VARIABLE_2655)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2656) BOUND_VARIABLE_2655)) (not (forall ((BOUND_VARIABLE_2657 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2655) BOUND_VARIABLE_2657)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2656) BOUND_VARIABLE_2657)) ))) ) 0.18/0.58 ( skv_13 skv_14 skv_15 skv_16 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_17 skv_18 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2702)) ) 0.18/0.58 ( skv_19 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_7) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_20 skv_21 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2702)) ) 0.18/0.58 ( skv_22 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_7) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 skv_18) BOUND_VARIABLE_2702)) ) 0.18/0.58 ( skv_23 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_24 skv_25 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_26 skv_27 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_15) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_28 skv_29 ) 0.18/0.58 ) 0.18/0.58 (skolem (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2702)) ) 0.18/0.58 ( skv_30 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_1598 $$unsorted) (BOUND_VARIABLE_1599 $$unsorted) (BOUND_VARIABLE_1600 $$unsorted)) (let ((_let_0 (ho_5 k_4 BOUND_VARIABLE_1598))) (or (not (ho_3 _let_0 BOUND_VARIABLE_1599)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_1599) BOUND_VARIABLE_1600)) (ho_3 _let_0 BOUND_VARIABLE_1600))) ) 0.18/0.58 ( skv_7, skv_7, skv_11 ) 0.18/0.58 ( skv_7, skv_8, skv_9 ) 0.18/0.58 ( skv_7, skv_8, skv_11 ) 0.18/0.58 ( skv_7, skv_9, skv_11 ) 0.18/0.58 ( skv_7, skv_12, skv_8 ) 0.18/0.58 ( skv_8, skv_7, skv_7 ) 0.18/0.58 ( skv_8, skv_8, skv_11 ) 0.18/0.58 ( skv_8, skv_8, skv_19 ) 0.18/0.58 ( skv_8, skv_9, skv_11 ) 0.18/0.58 ( skv_8, skv_9, skv_12 ) 0.18/0.58 ( skv_8, skv_11, skv_19 ) 0.18/0.58 ( skv_8, skv_13, skv_9 ) 0.18/0.58 ( skv_8, skv_17, skv_12 ) 0.18/0.58 ( skv_9, skv_7, skv_12 ) 0.18/0.58 ( skv_9, skv_8, skv_12 ) 0.18/0.58 ( skv_9, skv_9, skv_11 ) 0.18/0.58 ( skv_9, skv_11, skv_12 ) 0.18/0.58 ( skv_9, skv_13, skv_13 ) 0.18/0.58 ( skv_11, skv_7, skv_7 ) 0.18/0.58 ( skv_11, skv_8, skv_8 ) 0.18/0.58 ( skv_11, skv_9, skv_9 ) 0.18/0.58 ( skv_11, skv_11, skv_12 ) 0.18/0.58 ( skv_12, skv_8, skv_8 ) 0.18/0.58 ( skv_12, skv_9, skv_9 ) 0.18/0.58 ( skv_13, skv_9, skv_9 ) 0.18/0.58 ( skv_13, skv_12, skv_9 ) 0.18/0.58 ( skv_13, skv_14, skv_15 ) 0.18/0.58 ( skv_14, skv_11, skv_8 ) 0.18/0.58 ( skv_14, skv_11, skv_9 ) 0.18/0.58 ( skv_14, skv_15, skv_8 ) 0.18/0.58 ( skv_15, skv_11, skv_22 ) 0.18/0.58 ( skv_17, skv_7, skv_23 ) 0.18/0.58 ( skv_17, skv_8, skv_7 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_1610 $$unsorted)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_1610) BOUND_VARIABLE_1610) ) 0.18/0.58 ( skv_7 ) 0.18/0.58 ( skv_8 ) 0.18/0.58 ( skv_9 ) 0.18/0.58 ( skv_11 ) 0.18/0.58 ( skv_12 ) 0.18/0.58 ( skv_13 ) 0.18/0.58 ( skv_14 ) 0.18/0.58 ( skv_15 ) 0.18/0.58 ( skv_17 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((X mu) (V $$unsorted) (W $$unsorted)) (let ((_let_0 (ho_2 k_1 X))) (or (not (ho_3 _let_0 V)) (not (ho_3 (ho_5 k_4 V) W)) (ho_3 _let_0 W))) ) 0.18/0.58 ( skv_10, skv_7, skv_12 ) 0.18/0.58 ( skv_10, skv_8, skv_8 ) 0.18/0.58 ( skv_10, skv_9, skv_11 ) 0.18/0.58 ( skv_10, skv_9, skv_12 ) 0.18/0.58 ( skv_10, skv_11, skv_12 ) 0.18/0.58 ( skv_10, skv_12, skv_9 ) 0.18/0.58 ( skv_10, skv_13, skv_9 ) 0.18/0.58 ( skv_10, skv_14, skv_11 ) 0.18/0.58 ( skv_10, skv_15, skv_11 ) 0.18/0.58 ( skv_10, skv_17, skv_12 ) 0.18/0.58 ( skv_16, skv_7, skv_13 ) 0.18/0.58 ( skv_16, skv_8, skv_8 ) 0.18/0.58 ( skv_16, skv_9, skv_9 ) 0.18/0.58 ( skv_16, skv_11, skv_11 ) 0.18/0.58 ( skv_16, skv_12, skv_9 ) 0.18/0.58 ( skv_16, skv_13, skv_9 ) 0.18/0.58 ( skv_16, skv_15, skv_8 ) 0.18/0.58 ( skv_16, skv_17, skv_8 ) 0.18/0.58 ( skv_18, skv_7, skv_7 ) 0.18/0.58 ( skv_18, skv_8, skv_7 ) 0.18/0.58 ( skv_18, skv_9, skv_9 ) 0.18/0.58 ( skv_18, skv_11, skv_7 ) 0.18/0.58 ( skv_18, skv_13, skv_11 ) 0.18/0.58 ( skv_18, skv_15, skv_9 ) 0.18/0.58 ( skv_21, skv_9, skv_14 ) 0.18/0.58 ( skv_21, skv_11, skv_11 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2650 $$unsorted) (BOUND_VARIABLE_2698 $$unsorted) (BOUND_VARIABLE_2699 $$unsorted) (BOUND_VARIABLE_2700 mu) (BOUND_VARIABLE_2701 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2650) BOUND_VARIABLE_2698)) (not (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2698) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2698) BOUND_VARIABLE_2699)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2700) BOUND_VARIABLE_2699)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2699) BOUND_VARIABLE_2701)) (not (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2701) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2700) BOUND_VARIABLE_2702)) ))) ) 0.18/0.58 ( skv_7, skv_7, skv_7, skv_10, skv_7 ) 0.18/0.58 ( skv_7, skv_7, skv_7, skv_16, skv_7 ) 0.18/0.58 ( skv_7, skv_7, skv_7, skv_18, skv_7 ) 0.18/0.58 ( skv_7, skv_7, skv_12, skv_10, skv_8 ) 0.18/0.58 ( skv_8, skv_8, skv_7, skv_16, skv_7 ) 0.18/0.58 ( skv_8, skv_8, skv_8, skv_16, skv_8 ) 0.18/0.58 ( skv_8, skv_8, skv_8, skv_18, skv_8 ) 0.18/0.58 ( skv_8, skv_11, skv_9, skv_16, skv_11 ) 0.18/0.58 ( skv_8, skv_12, skv_8, skv_21, skv_12 ) 0.18/0.58 ( skv_8, skv_17, skv_8, skv_29, skv_17 ) 0.18/0.58 ( skv_9, skv_9, skv_9, skv_18, skv_9 ) 0.18/0.58 ( skv_9, skv_9, skv_9, skv_21, skv_9 ) 0.18/0.58 ( skv_9, skv_9, skv_13, skv_18, skv_14 ) 0.18/0.58 ( skv_9, skv_11, skv_8, skv_10, skv_11 ) 0.18/0.58 ( skv_13, skv_14, skv_14, skv_21, skv_15 ) 0.18/0.58 ( skv_13, skv_14, skv_14, skv_25, skv_15 ) 0.18/0.58 ( skv_14, skv_15, skv_8, skv_25, skv_8 ) 0.18/0.58 ( skv_14, skv_15, skv_13, skv_27, skv_14 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2717 $$unsorted) (BOUND_VARIABLE_2718 mu)) (or (not (ho_3 (ho_5 k_4 skv_8) BOUND_VARIABLE_2717)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2718) BOUND_VARIABLE_2717)) (not (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2717) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2718) BOUND_VARIABLE_2719)) ))) ) 0.18/0.58 ( skv_9, skv_10 ) 0.18/0.58 ( skv_11, skv_10 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2702 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_11) BOUND_VARIABLE_2702)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2702)) ) 0.18/0.58 ( skv_12 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_9) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 skv_10) BOUND_VARIABLE_2719)) ) 0.18/0.58 ( skv_9 ) 0.18/0.58 ( skv_11 ) 0.18/0.58 ( skv_12 ) 0.18/0.58 ( skv_13 ) 0.18/0.58 ( skv_19 ) 0.18/0.58 ( skv_24 ) 0.18/0.58 ( skv_30 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2670 $$unsorted) (BOUND_VARIABLE_2671 mu) (BOUND_VARIABLE_2672 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_14) BOUND_VARIABLE_2670)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_2671) BOUND_VARIABLE_2670)) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2670) BOUND_VARIABLE_2672)) (not (forall ((BOUND_VARIABLE_2673 $$unsorted)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_2672) BOUND_VARIABLE_2673)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_2671) BOUND_VARIABLE_2673)) ))) ) 0.18/0.58 ( skv_7, skv_18, skv_7 ) 0.18/0.58 ( skv_8, skv_10, skv_11 ) 0.18/0.58 ( skv_9, skv_16, skv_11 ) 0.18/0.58 ( skv_11, skv_16, skv_12 ) 0.18/0.58 ( skv_11, skv_21, skv_19 ) 0.18/0.58 ( skv_12, skv_10, skv_8 ) 0.18/0.58 ( skv_13, skv_10, skv_14 ) 0.18/0.58 ( skv_14, skv_16, skv_15 ) 0.18/0.58 ( skv_14, skv_18, skv_15 ) 0.18/0.58 ( skv_14, skv_21, skv_14 ) 0.18/0.58 ( skv_14, skv_25, skv_15 ) 0.18/0.58 ( skv_14, skv_27, skv_14 ) 0.18/0.58 ( skv_14, skv_29, skv_26 ) 0.18/0.58 ( skv_15, skv_16, skv_15 ) 0.18/0.58 ( skv_15, skv_21, skv_28 ) 0.18/0.58 ( skv_17, skv_18, skv_17 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2657 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_15) BOUND_VARIABLE_2657)) (ho_3 (ho_2 k_6 skv_16) BOUND_VARIABLE_2657)) ) 0.18/0.58 ( skv_15 ) 0.18/0.58 ( skv_22 ) 0.18/0.58 ( skv_28 ) 0.18/0.58 ) 0.18/0.58 (instantiation (forall ((BOUND_VARIABLE_2719 $$unsorted)) (or (not (ho_3 (ho_5 k_4 skv_17) BOUND_VARIABLE_2719)) (ho_3 (ho_2 k_6 skv_18) BOUND_VARIABLE_2719)) ) 0.18/0.58 ( skv_17 ) 0.18/0.58 ( skv_23 ) 0.18/0.58 ) 0.18/0.58 % SZS output end Proof for theBenchmark 0.18/0.58 EOF