0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_CVC4 %s %d 0.10/0.30 % Computer : n031.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Thu Jul 2 08:04:17 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.41 %----Proving TF0_ARI 0.16/0.41 ------- cvc4-tfa casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.16/0.41 --- Run --finite-model-find --decision=internal at 15... 0.16/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 15.24/15.46 --- Run --no-e-matching --full-saturate-quant at 15... 15.61/15.79 % SZS status Theorem for theBenchmark 15.61/15.79 % SZS output start Proof for theBenchmark 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 nil))) (not (in 0 T))) ) 15.61/15.79 ( skv_1 skv_2 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((T list)) (not (= (cons 0 nil) (cons 0 T))) ) 15.61/15.79 ( skv_3 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 nil)))) ) 15.61/15.79 ( skv_4 skv_5 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 0 nil))))) ) 15.61/15.79 ( skv_6 skv_7 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 nil)))) (not (in 0 T))) ) 15.61/15.79 ( skv_8 skv_9 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 0 (cons 0 nil)))))) ) 15.61/15.79 ( skv_10 skv_11 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 nil))) (not (in 4 T))) ) 15.61/15.79 ( skv_12 skv_13 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((T list)) (not (= (cons 4 nil) (cons 4 T))) ) 15.61/15.79 ( skv_14 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 nil)))) (not (in 0 T))) ) 15.61/15.79 ( skv_15 skv_16 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 nil)))) (not (in 4 T))) ) 15.61/15.79 ( skv_17 skv_18 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((T list)) (not (= (cons 4 T) (cons 4 (cons 0 nil)))) ) 15.61/15.79 ( skv_19 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 (cons 0 nil))))) (not (in 0 T))) ) 15.61/15.79 ( skv_20 skv_21 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 0 (cons 0 (cons 0 nil))))))) ) 15.61/15.79 ( skv_22 skv_23 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 (cons 0 nil))))) (not (in 0 T))) ) 15.61/15.79 ( skv_24 skv_25 ) 15.61/15.79 ) 15.61/15.79 (skolem (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 (cons 0 (cons 0 (cons 0 nil))))))) ) 15.61/15.79 ( skv_26 skv_27 ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (L list)) (= K (head (cons K L))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 3, nil ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( skv_1, skv_2 ) 15.61/15.79 ( skv_4, skv_5 ) 15.61/15.79 ( (head skv_2), (tail skv_2) ) 15.61/15.79 ( skv_6, skv_7 ) 15.61/15.79 ( skv_8, skv_9 ) 15.61/15.79 ( skv_10, skv_11 ) 15.61/15.79 ( skv_12, skv_13 ) 15.61/15.79 ( skv_15, skv_16 ) 15.61/15.79 ( skv_17, skv_18 ) 15.61/15.79 ( skv_20, skv_21 ) 15.61/15.79 ( skv_22, skv_23 ) 15.61/15.79 ( skv_24, skv_25 ) 15.61/15.79 ( skv_26, skv_27 ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int)) (= (count K nil) 0) ) 15.61/15.79 ( 0 ) 15.61/15.79 ( (- 1) ) 15.61/15.79 ( 3 ) 15.61/15.79 ( 4 ) 15.61/15.79 ( (length (cons 0 nil)) ) 15.61/15.79 ( (length (cons 0 (cons 0 nil))) ) 15.61/15.79 ( skv_1 ) 15.61/15.79 ( (* (- 1) (count 4 (cons 4 (cons 0 nil)))) ) 15.61/15.79 ( (let ((_let_0 (cons 0 nil))) (+ (count 4 _let_0) (* (- 1) (count 4 (cons 4 _let_0))))) ) 15.61/15.79 ( (head skv_2) ) 15.61/15.79 ( skv_12 ) 15.61/15.79 ( skv_17 ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (L list)) (not (= nil (cons K L))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 3, nil ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( (head skv_2), (tail skv_2) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((L list)) (or (= nil L) (= L (cons (head L) (tail L)))) ) 15.61/15.79 ( (cons 3 nil) ) 15.61/15.79 ( skv_2 ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (tail skv_2) ) 15.61/15.79 ( (cons (head skv_2) (tail skv_2)) ) 15.61/15.79 ( (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((I Int) (K list) (L list)) (= (append (cons I K) L) (cons I (append K L))) ) 15.61/15.79 ( 0, nil, nil ) 15.61/15.79 ( 0, (cons 0 nil), nil ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)), nil ) 15.61/15.79 ( 0, (cons 4 nil), nil ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)), nil ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))), nil ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))), nil ) 15.61/15.79 ( 4, nil, nil ) 15.61/15.79 ( 4, (cons 0 nil), nil ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)), nil ) 15.61/15.79 ( 4, (cons 4 nil), nil ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)), nil ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))), nil ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((L list)) (= L (append nil L)) ) 15.61/15.79 ( nil ) 15.61/15.79 ( (cons 0 (append nil nil)) ) 15.61/15.79 ( (cons 0 (append (cons 0 nil) nil)) ) 15.61/15.79 ( (cons 3 nil) ) 15.61/15.79 ( (cons skv_1 skv_2) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (cons (head skv_2) (tail skv_2)) ) 15.61/15.79 ( (cons 4 (cons 4 nil)) ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (L list)) (= L (tail (cons K L))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, skv_3 ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 3, nil ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, skv_14 ) 15.61/15.79 ( 4, skv_19 ) 15.61/15.79 ( skv_1, skv_2 ) 15.61/15.79 ( skv_4, skv_5 ) 15.61/15.79 ( (head skv_2), (tail skv_2) ) 15.61/15.79 ( skv_6, skv_7 ) 15.61/15.79 ( skv_8, skv_9 ) 15.61/15.79 ( skv_10, skv_11 ) 15.61/15.79 ( skv_12, skv_13 ) 15.61/15.79 ( skv_15, skv_16 ) 15.61/15.79 ( skv_17, skv_18 ) 15.61/15.79 ( skv_20, skv_21 ) 15.61/15.79 ( skv_22, skv_23 ) 15.61/15.79 ( skv_24, skv_25 ) 15.61/15.79 ( skv_26, skv_27 ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((X Int) (L list)) (= (or (not (forall ((H Int) (T list)) (or (not (= L (cons H T))) (not (in X T))) )) (not (forall ((T list)) (not (= L (cons X T))) ))) (in X L)) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((L list) (N Int)) (or (not (>= N 3)) (not (>= (length L) 4)) (inRange N L)) ) 15.61/15.79 ( nil, 3 ) 15.61/15.79 ( (cons 0 nil), 3 ) 15.61/15.79 ( (cons 0 (cons 0 nil)), 3 ) 15.61/15.79 ( (cons 4 nil), 3 ) 15.61/15.79 ( (cons 4 (cons 0 nil)), 3 ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))), 3 ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))), 3 ) 15.61/15.79 ( (cons 0 (cons 4 nil)), 3 ) 15.61/15.79 ( (cons 4 (cons 4 nil)), 3 ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 nil))), 3 ) 15.61/15.79 ( (cons 4 (cons 4 (cons 0 nil))), 3 ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))), 3 ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))), 3 ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (H Int) (T list)) (or (= K H) (= (count K T) (count K (cons H T)))) ) 15.61/15.79 ( 0, 3, nil ) 15.61/15.79 ( 0, 4, nil ) 15.61/15.79 ( 0, 4, (cons 0 nil) ) 15.61/15.79 ( 0, 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, 4, (cons 4 nil) ) 15.61/15.79 ( 0, 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, 0, nil ) 15.61/15.79 ( 4, 0, (cons 0 nil) ) 15.61/15.79 ( 4, 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, 0, (cons 4 nil) ) 15.61/15.79 ( 4, 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (= (length T) (+ (- 1) (length (cons H T)))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (= (count H T) (+ (- 1) (count H (cons H T)))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((N Int) (L list)) (= (in N L) (>= (count N L) 1)) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((N Int) (L list)) (= (inRange N L) (or (= nil L) (not (forall ((K Int) (T list)) (or (not (>= K 0)) (not (>= (+ N (* (- 1) K)) 1)) (not (inRange N T)) (not (= L (cons K T)))) )))) ) 15.61/15.79 ( 3, nil ) 15.61/15.79 ( 3, (cons 0 nil) ) 15.61/15.79 ( 3, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 3, (cons 4 nil) ) 15.61/15.79 ( 3, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 3, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 3, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 3, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 3, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 3, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 3, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 3, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( 3, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= nil (cons H T))) (not (in 0 T))) ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((T list)) (not (= nil (cons 0 T))) ) 15.61/15.79 ( (cons 0 nil) ) 15.61/15.79 ( (cons 0 (cons 0 nil)) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (cons 4 (cons 4 nil)) ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 nil))) (not (in 0 T))) ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 nil)))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= nil (cons H T))) (not (in 4 T))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((T list)) (not (= nil (cons 4 T))) ) 15.61/15.79 ( (cons 0 (cons 0 nil)) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (cons 4 (cons 4 nil)) ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 0 nil))))) ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((T list)) (not (= (cons 0 nil) (cons 4 T))) ) 15.61/15.79 ( nil ) 15.61/15.79 ( (cons 0 (cons 0 nil)) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (cons 4 (cons 4 nil)) ) 15.61/15.79 ( (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 nil))) (not (in 4 T))) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 nil)))) ) 15.61/15.79 ( 0, nil ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 (cons 0 nil))))) ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ( 4, nil ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((T list)) (not (= (cons 0 (cons 0 nil)) (cons 4 T))) ) 15.61/15.79 ( (cons 0 (cons 0 nil)) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( (cons 0 (cons 4 nil)) ) 15.61/15.79 ( (cons 4 (cons 4 nil)) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 nil)))) (not (in 4 T))) ) 15.61/15.79 ( 0, (cons 4 nil) ) 15.61/15.79 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 0, (cons 0 (cons 4 nil)) ) 15.61/15.79 ( 0, (cons 4 (cons 4 nil)) ) 15.61/15.79 ( 4, (cons 4 nil) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 0 (cons 0 nil)))))) ) 15.61/15.79 ( 0, (cons 0 nil) ) 15.61/15.79 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 nil))) (not (in 0 T))) ) 15.61/15.79 ( 4, (cons 0 nil) ) 15.61/15.79 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.79 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.79 ( 4, (cons 0 (cons 4 nil)) ) 15.61/15.79 ) 15.61/15.79 (instantiation (forall ((T list)) (not (= (cons 0 T) (cons 4 nil))) ) 15.61/15.79 ( (cons 4 nil) ) 15.61/15.79 ( (cons 4 (cons 0 nil)) ) 15.61/15.79 ( (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( (cons 0 (cons 4 nil)) ) 15.61/15.80 ( (cons 4 (cons 4 nil)) ) 15.61/15.80 ( (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 (cons 0 (cons 0 nil)))))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 4, nil ) 15.61/15.80 ( 4, (cons 0 nil) ) 15.61/15.80 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 nil))) (not (in 4 T))) ) 15.61/15.80 ( 4, (cons 4 nil) ) 15.61/15.80 ( 4, (cons 4 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 0 (cons 4 nil)) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 4 nil))))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 4, (cons 0 nil) ) 15.61/15.80 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 (cons 4 nil))))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 4, (cons 0 nil) ) 15.61/15.80 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 nil)))) (not (in 4 T))) ) 15.61/15.80 ( 0, (cons 4 nil) ) 15.61/15.80 ( 0, (cons 4 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 4 nil) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 0 (cons 4 (cons 0 nil)))))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 15.61/15.80 ( 4, (cons 0 nil) ) 15.61/15.80 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((K Int) (T list)) (or (not (>= K 0)) (>= K 3) (not (inRange 3 T)) (not (= (cons K T) (cons 4 (cons 4 (cons 0 nil)))))) ) 15.61/15.80 ( 0, (cons 0 (cons 0 nil)) ) 15.61/15.80 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ( 4, (cons 0 nil) ) 15.61/15.80 ( 4, (cons 0 (cons 0 nil)) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 (cons 0 nil))))) (not (in 4 T))) ) 15.61/15.80 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 15.61/15.80 ) 15.61/15.80 (instantiation (forall ((T list)) (not (= (cons 4 T) (cons 0 (cons 0 (cons 0 nil))))) ) 15.61/15.80 ( (cons 0 (cons 0 (cons 0 nil))) ) 15.61/15.80 ) 15.61/15.80 % SZS output end Proof for theBenchmark 15.61/15.80 EOF