0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.24 % Computer : n115.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:30:11 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.27 %----Proving with arithmetic mode 0.07/0.28 ------- cvc4-tfa casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ... 0.07/0.28 --- Run --cbqi-all --purify-triggers --full-saturate-quant at 15... 15.13/15.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 30.47/34.64 --- Run --finite-model-find --decision=internal at 15... 45.49/49.72 --- Run --no-e-matching --full-saturate-quant at 15... 45.51/49.88 % SZS status Theorem for theBenchmark 45.51/49.88 % SZS output start Proof for theBenchmark 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 0 nil) (cons 0 T))) ) 45.51/49.88 ( skv_1 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 nil))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.88 ( skv_2 skv_3 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 0 nil)))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.88 ( skv_4 skv_5 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 0 T) (cons 0 (cons 0 nil)))) ) 45.51/49.88 ( skv_6 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 0 (cons 0 nil))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.88 ( skv_7 skv_8 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 4 nil) (cons 4 T))) ) 45.51/49.88 ( skv_9 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 0 T) (cons 4 (cons 0 nil)))) ) 45.51/49.88 ( skv_10 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 nil)))) (not (in 0 T))) ) 45.51/49.88 ( skv_11 skv_12 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 4 T) (cons 4 (cons 0 nil)))) ) 45.51/49.88 ( skv_13 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 0 T) (cons 0 (cons 0 (cons 0 nil))))) ) 45.51/49.88 ( skv_14 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 0 (cons 0 (cons 0 nil)))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.88 ( skv_15 skv_16 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((T list)) (not (= (cons 0 T) (cons 4 (cons 0 (cons 0 nil))))) ) 45.51/49.88 ( skv_17 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 (cons 0 (cons 0 (cons 0 nil)))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.88 ( skv_18 skv_19 ) 45.51/49.88 ) 45.51/49.88 (skolem (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 (cons 0 (cons 0 nil))))) (not (in 0 T))) ) 45.51/49.88 ( skv_20 skv_21 ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((K Int)) (= (count K nil) 0) ) 45.51/49.88 ( 0 ) 45.51/49.88 ( (- 1) ) 45.51/49.88 ( 3 ) 45.51/49.88 ( 4 ) 45.51/49.88 ( (count 0 (cons 0 nil)) ) 45.51/49.88 ( (count 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (* (- 1) (count 4 (cons 4 (cons 0 nil)))) ) 45.51/49.88 ( (let ((_let_0 (cons 0 nil))) (+ (count 4 _let_0) (* (- 1) (count 4 (cons 4 _let_0))))) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((K Int) (L list)) (= L (tail (cons K L))) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, skv_1 ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, skv_6 ) 45.51/49.88 ( 0, skv_14 ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, skv_9 ) 45.51/49.88 ( 4, skv_13 ) 45.51/49.88 ( (count 0 (cons 0 nil)), nil ) 45.51/49.88 ( skv_2, skv_3 ) 45.51/49.88 ( skv_4, skv_5 ) 45.51/49.88 ( skv_7, skv_8 ) 45.51/49.88 ( skv_11, skv_12 ) 45.51/49.88 ( skv_15, skv_16 ) 45.51/49.88 ( skv_18, skv_19 ) 45.51/49.88 ( skv_20, skv_21 ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((K Int) (L list)) (not (= nil (cons K L))) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 0 (cons 4 nil)) ) 45.51/49.88 ( 4, (cons 4 (cons 4 nil)) ) 45.51/49.88 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((L list)) (= L (append nil L)) ) 45.51/49.88 ( nil ) 45.51/49.88 ( (cons 0 nil) ) 45.51/49.88 ( (cons 0 (cons 0 nil)) ) 45.51/49.88 ( (cons (count 0 (cons 0 nil)) nil) ) 45.51/49.88 ( (cons 4 nil) ) 45.51/49.88 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (cons 4 (cons 0 nil)) ) 45.51/49.88 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (cons 0 (cons 4 nil)) ) 45.51/49.88 ( (cons 4 (cons 4 nil)) ) 45.51/49.88 ( (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((N Int) (L list)) (= (in N L) (>= (count N L) 1)) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((H Int) (T list)) (= (count H T) (+ (- 1) (count H (cons H T)))) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((K Int) (L list)) (= K (head (cons K L))) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, skv_10 ) 45.51/49.88 ( 0, skv_17 ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (count 0 (cons 0 nil)), nil ) 45.51/49.88 ( skv_2, skv_3 ) 45.51/49.88 ( skv_4, skv_5 ) 45.51/49.88 ( skv_7, skv_8 ) 45.51/49.88 ( skv_11, skv_12 ) 45.51/49.88 ( skv_15, skv_16 ) 45.51/49.88 ( skv_18, skv_19 ) 45.51/49.88 ( skv_20, skv_21 ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((X Int) (L list)) (= (or (not (forall ((T list)) (not (= L (cons X T))) )) (not (forall ((H Int) (T list)) (or (not (= L (cons H T))) (not (in X T))) ))) (in X L)) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((H Int) (T list)) (= (length T) (+ (- 1) (length (cons H T)))) ) 45.51/49.88 ( 0, nil ) 45.51/49.88 ( 0, (cons 0 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 nil) ) 45.51/49.88 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.88 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, nil ) 45.51/49.88 ( 4, (cons 0 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.88 ( 4, (cons 4 nil) ) 45.51/49.88 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((L list)) (or (= L (cons (head L) (tail L))) (= nil L)) ) 45.51/49.88 ( (cons (count 0 (cons 0 nil)) nil) ) 45.51/49.88 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.88 ( (cons 0 (cons 4 nil)) ) 45.51/49.88 ( (cons 4 (cons 4 nil)) ) 45.51/49.88 ( (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.88 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ( (cons 0 (cons 4 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ( (cons 4 (cons 4 (cons 0 (cons 0 nil)))) ) 45.51/49.88 ) 45.51/49.88 (instantiation (forall ((N Int) (L list)) (= (inRange N L) (or (not (forall ((K Int) (T list)) (or (not (= L (cons K T))) (not (>= K 0)) (not (inRange N T)) (not (>= (+ N (* (- 1) K)) 1))) )) (= nil L))) ) 45.51/49.88 ( 3, nil ) 45.51/49.88 ( 3, (cons 0 nil) ) 45.51/49.88 ( 3, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 3, (cons 4 nil) ) 45.51/49.89 ( 3, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 3, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 3, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 3, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 3, (cons 4 (cons 4 nil)) ) 45.51/49.89 ( 3, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 3, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 3, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 3, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((I Int) (K list) (L list)) (= (cons I (append K L)) (append (cons I K) L)) ) 45.51/49.89 ( 0, nil, nil ) 45.51/49.89 ( 0, (cons 0 nil), nil ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)), nil ) 45.51/49.89 ( 0, (cons 4 nil), nil ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))), nil ) 45.51/49.89 ( 0, (cons 4 (cons 0 nil)), nil ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 nil))), nil ) 45.51/49.89 ( 4, nil, nil ) 45.51/49.89 ( 4, (cons 0 nil), nil ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)), nil ) 45.51/49.89 ( 4, (cons 4 nil), nil ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))), nil ) 45.51/49.89 ( 4, (cons 4 (cons 0 nil)), nil ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (H Int) (T list)) (or (= K H) (= (count K T) (count K (cons H T)))) ) 45.51/49.89 ( 0, 4, nil ) 45.51/49.89 ( 0, 4, (cons 0 nil) ) 45.51/49.89 ( 0, 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, 4, (cons 4 nil) ) 45.51/49.89 ( 0, 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, 4, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 0, (count 0 (cons 0 nil)), nil ) 45.51/49.89 ( 4, 0, nil ) 45.51/49.89 ( 4, 0, (cons 0 nil) ) 45.51/49.89 ( 4, 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, 0, (cons 4 nil) ) 45.51/49.89 ( 4, 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, 0, (cons 4 (cons 0 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((L list) (N Int)) (or (not (>= N 3)) (not (>= (length L) 4)) (inRange N L)) ) 45.51/49.89 ( nil, 3 ) 45.51/49.89 ( (cons 0 nil), 3 ) 45.51/49.89 ( (cons 0 (cons 0 nil)), 3 ) 45.51/49.89 ( (cons 4 nil), 3 ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))), 3 ) 45.51/49.89 ( (cons 4 (cons 0 nil)), 3 ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))), 3 ) 45.51/49.89 ( (cons 0 (cons 4 nil)), 3 ) 45.51/49.89 ( (cons 4 (cons 4 nil)), 3 ) 45.51/49.89 ( (cons 0 (cons 4 (cons 0 nil))), 3 ) 45.51/49.89 ( (cons 4 (cons 4 (cons 0 nil))), 3 ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))), 3 ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))), 3 ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= nil (cons 0 T))) ) 45.51/49.89 ( (cons 0 nil) ) 45.51/49.89 ( (cons 0 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 nil) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 4 nil)) ) 45.51/49.89 ( (cons 4 (cons 4 nil)) ) 45.51/49.89 ( (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= nil (cons H T))) (not (in 0 T))) ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 4 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 4, (cons 4 (cons 4 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 nil))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, nil ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= nil (cons 4 T))) ) 45.51/49.89 ( (cons 0 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 nil) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 4 nil)) ) 45.51/49.89 ( (cons 4 (cons 4 nil)) ) 45.51/49.89 ( (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= nil (cons H T))) (not (in 4 T))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 4 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 4, (cons 4 (cons 4 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 0 nil)))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, nil ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= (cons 0 nil) (cons 4 T))) ) 45.51/49.89 ( nil ) 45.51/49.89 ( (cons 0 nil) ) 45.51/49.89 ( (cons 4 nil) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 4 nil)) ) 45.51/49.89 ( (cons 4 (cons 4 nil)) ) 45.51/49.89 ( (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 nil))) (not (in 4 T))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 4 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 0, (cons 4 (cons 4 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 nil))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, nil ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, nil ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 (cons 0 nil)))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, nil ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, nil ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= (cons 0 (cons 0 nil)) (cons 4 T))) ) 45.51/49.89 ( (cons 0 nil) ) 45.51/49.89 ( (cons 0 (cons 0 nil)) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 4 nil)) ) 45.51/49.89 ( (cons 4 (cons 4 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 nil)))) (not (in 4 T))) ) 45.51/49.89 ( 0, (cons 4 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 4 nil)) ) 45.51/49.89 ( 0, (cons 4 (cons 4 nil)) ) 45.51/49.89 ( 4, (cons 4 nil) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 0 (cons 0 nil))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= (cons 0 T) (cons 4 nil))) ) 45.51/49.89 ( (cons 4 nil) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 4 (cons 4 nil)) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 4 nil))) (not (in 0 T))) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 4 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 4 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 (cons 0 (cons 0 nil))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 nil) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, nil ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 4 nil)))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 4 (cons 4 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= (cons 0 T) (cons 4 (cons 0 nil)))) ) 45.51/49.89 ( (cons 4 nil) ) 45.51/49.89 ( (cons 4 (cons 0 nil)) ) 45.51/49.89 ( (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( (cons 0 (cons 4 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 (cons 4 nil)))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, nil ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 0 (cons 4 (cons 0 nil))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 (cons 0 nil)))) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 4, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((K Int) (T list)) (or (not (= (cons K T) (cons 4 (cons 4 (cons 0 nil))))) (not (>= K 0)) (not (inRange 3 T)) (>= K 3)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 nil)) ) 45.51/49.89 ( 0, (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ( 4, (cons 0 nil) ) 45.51/49.89 ( 4, (cons 0 (cons 0 nil)) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((T list)) (not (= (cons 4 T) (cons 0 (cons 0 (cons 0 nil))))) ) 45.51/49.89 ( (cons 0 (cons 0 (cons 0 nil))) ) 45.51/49.89 ) 45.51/49.89 (instantiation (forall ((H Int) (T list)) (or (not (= (cons H T) (cons 0 (cons 0 (cons 0 nil))))) (not (in 4 T))) ) 45.51/49.89 ( 0, (cons 4 (cons 0 (cons 0 nil))) ) 45.51/49.89 ) 45.51/49.89 % SZS output end Proof for theBenchmark 45.71/49.90 EOF