0.12/0.32 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.33 % Command : do_CVC4 %s 0.12/0.53 % Computer : n014.cluster.edu 0.12/0.53 % Model : x86_64 x86_64 0.12/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.53 % Memory : 8042.1875MB 0.12/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.53 % CPULimit : 180 0.12/0.53 % DateTime : Thu Aug 29 12:31:24 EDT 2019 0.12/0.54 % CPUTime : 0.19/0.66 %----Proving TF0_ARI 0.19/0.66 ------- cvc4-tfa casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180... 0.19/0.66 --- Run --finite-model-find --decision=internal at 15... 15.25/15.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 15.53/15.92 % SZS status Theorem for theBenchmark 15.53/15.92 % SZS output start Proof for theBenchmark 15.53/15.92 (skolem (forall ((X1 list_int)) (let ((_let_0 (cons int (t2tb2 0) (t2tb1 X1)))) (let ((_let_1 (tb2t1 _let_0))) (let ((_let_2 (length1 int _let_0))) (or (and (zero_at1 _let_1 0) (>= _let_2 1)) (and (no_zero1 _let_1) (= _let_2 0)))))) ) 15.53/15.92 ( skv_2 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((I Int) (X Int) (X1 list_int) (BOUND_VARIABLE_1049 Int) (BOUND_VARIABLE_1050 list_int) (BOUND_VARIABLE_1059 Int)) (let ((_let_0 (cons int (t2tb2 X) (t2tb1 X1)))) (let ((_let_1 (tb2t1 _let_0))) (let ((_let_2 (length1 int (t2tb1 X1)))) (let ((_let_3 (length1 int _let_0))) (let ((_let_4 (* (- 1) I))) (let ((_let_5 (* (- 1) BOUND_VARIABLE_1059))) (let ((_let_6 (+ I _let_5))) (or (= X 0) (and (not (= (tb2t1 (nil int)) _let_1)) (or (not (= _let_1 (tb2t1 (cons int (t2tb2 BOUND_VARIABLE_1049) (t2tb1 BOUND_VARIABLE_1050))))) (= X1 BOUND_VARIABLE_1050)) (or (and (or (not (= I (+ (- 1) BOUND_VARIABLE_1059 (* (- 1) _let_2)))) (not (no_zero1 X1))) (or (>= _let_6 0) (not (zero_at1 X1 (+ (- 1) _let_4 BOUND_VARIABLE_1059))) (not (>= (+ I _let_5 _let_2) 0)))) (and (no_zero1 _let_1) (= I (+ BOUND_VARIABLE_1059 (* (- 1) _let_3)))) (and (not (>= _let_6 1)) (>= (+ I _let_5 _let_3) 1) (zero_at1 _let_1 (+ _let_4 BOUND_VARIABLE_1059))))))))))))) ) 15.53/15.92 ( skv_3 skv_4 skv_5 skv_6 skv_7 skv_8 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) ) 15.53/15.92 ( skv_9 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb1 skv_5))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) ) 15.53/15.92 ( skv_10 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_11 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb1 (tb2t1 (nil int))))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) ) 15.53/15.92 ( skv_12 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J skv_3 (* (- 1) skv_8)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.92 ( skv_13 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_12)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (nil int)))))))) ) 15.53/15.92 ( skv_14 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_9)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.92 ( skv_15 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_16 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_17 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_7)))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_18 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_5)))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_19 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_20 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (nil int)))))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.92 ( skv_21 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_14)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (nil int)))))))) ) 15.53/15.92 ( skv_22 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_13)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.92 ( skv_23 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_11)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_2)))))) ) 15.53/15.92 ( skv_24 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_24)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_2)))))) ) 15.53/15.92 ( skv_25 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_22)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (nil int)))))))) ) 15.53/15.92 ( skv_26 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_15)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.92 ( skv_27 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_9)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.92 ( skv_28 ) 15.53/15.92 ) 15.53/15.92 (skolem (forall ((J Int)) (or (>= (+ J (* (- 1) skv_15)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.92 ( skv_29 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((X list_int)) (sort1 (list int) (t2tb1 X)) ) 15.53/15.92 ( (tb2t1 (nil int)) ) 15.53/15.92 ( skv_2 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( skv_5 ) 15.53/15.92 ( skv_7 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni)) (sort1 A (cons_proj_11 A X)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni)) (sort1 (list A) (cons_proj_21 A X)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni) (X1 uni)) (sort1 (list A) (cons A X X1)) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((X option_int)) (sort1 (option int) (t2tb X)) ) 15.53/15.92 ( (tb2t (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (tb2t (nth1 int skv_9 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t (nth1 int 0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty)) (sort1 (list A) (nil A)) ) 15.53/15.92 ( int ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((X Int)) (sort1 int (t2tb2 X)) ) 15.53/15.92 ( 0 ) 15.53/15.92 ( skv_4 ) 15.53/15.92 ( skv_6 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((I option_int)) (= I (tb2t (t2tb I))) ) 15.53/15.92 ( (tb2t (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (tb2t (nth1 int skv_9 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t (nth1 int 0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty)) (sort1 (option A) (none A)) ) 15.53/15.92 ( int ) 15.53/15.92 ( (list int) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni)) (sort1 (option A) (some A X)) ) 15.53/15.92 ( int, (t2tb2 0) ) 15.53/15.92 ( int, (t2tb2 skv_4) ) 15.53/15.92 ( int, (t2tb2 skv_6) ) 15.53/15.92 ( int, (some_proj_11 int (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (list int), (nil int) ) 15.53/15.92 ( (list int), (t2tb1 skv_2) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( (list int), (t2tb1 skv_5) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (t2tb1 skv_7) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( (option int), (some int (t2tb2 0)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_4)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_6)) ) 15.53/15.92 ( (option int), (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X Int) (X1 uni)) (sort1 (option A) (nth1 A X X1)) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, 0, (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, 0, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, 0, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ( int, (+ (- 1) (* (- 1) skv_3) skv_8), (t2tb1 skv_5) ) 15.53/15.92 ( int, (+ (* (- 1) skv_3) skv_8), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, skv_9, (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, skv_10, (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_11, (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, skv_12, (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, skv_13, (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (+ (- 1) skv_9), (t2tb1 skv_5) ) 15.53/15.92 ( int, (+ (- 1) skv_11), (t2tb1 skv_2) ) 15.53/15.92 ( int, (+ (- 1) skv_13), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_14, (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, skv_15, (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (+ (- 1) skv_15), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_22, (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, skv_24, (t2tb1 skv_2) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni)) (sort1 A (some_proj_11 A X)) ) 15.53/15.92 ( int, (some int (t2tb2 0)) ) 15.53/15.92 ( int, (some int (t2tb2 skv_4)) ) 15.53/15.92 ( int, (some int (t2tb2 skv_6)) ) 15.53/15.92 ( int, (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (list int), (some (list int) (nil int)) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_2)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_7)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 skv_4))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 skv_6))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 0))) ) 15.53/15.92 ( (option int), (some (option int) (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (U uni) (U1 uni)) (or (not (sort1 A U)) (= U (cons_proj_11 A (cons A U U1)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((J uni)) (= J (t2tb1 (tb2t1 J))) ) 15.53/15.92 ( (nil int) ) 15.53/15.92 ( (t2tb1 skv_2) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( (t2tb1 skv_5) ) 15.53/15.92 ( (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( (t2tb1 skv_7) ) 15.53/15.92 ( (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((X Int) (Y Int) (Z Int)) (or (>= (+ X (* (- 1) Y)) 1) (not (>= Z 0)) (not (>= (+ (* X Z) (* (- 1) (* Y Z))) 1))) ) 15.53/15.92 ( 0, 0, 0 ) 15.53/15.92 ( 1, 1, 1 ) 15.53/15.92 ( (- 1), 0, 0 ) 15.53/15.92 ( (- 1), 0, 1 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (N Int)) (= (none A) (nth1 A N (nil A))) ) 15.53/15.92 ( int, 0 ) 15.53/15.92 ( int, skv_12 ) 15.53/15.92 ( int, skv_14 ) 15.53/15.92 ( int, skv_22 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (BOUND_VARIABLE_874 uni) (BOUND_VARIABLE_875 uni)) (= (some A BOUND_VARIABLE_874) (nth1 A 0 (cons A BOUND_VARIABLE_874 BOUND_VARIABLE_875))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (N Int) (BOUND_VARIABLE_891 uni) (BOUND_VARIABLE_892 uni)) (or (= N 0) (= (nth1 A N (cons A BOUND_VARIABLE_891 BOUND_VARIABLE_892)) (nth1 A (+ (- 1) N) BOUND_VARIABLE_892))) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, 0, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, 0, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, 0, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ( int, (+ (* (- 1) skv_3) skv_8), (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_9, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_11, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, skv_13, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_15, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_16, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, skv_17, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, skv_18, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, skv_19, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, skv_20, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, skv_21, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (U uni)) (or (not (sort1 (option A) U)) (= U (some A (some_proj_11 A U))) (= U (none A))) ) 15.53/15.92 ( int, (some int (t2tb2 0)) ) 15.53/15.92 ( int, (nth1 int 0 (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( int, (some int (t2tb2 skv_4)) ) 15.53/15.92 ( int, (nth1 int 0 (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( int, (some int (t2tb2 skv_6)) ) 15.53/15.92 ( int, (nth1 int 0 (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( int, (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (nth1 int (+ (- 1) (* (- 1) skv_3) skv_8) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (nth1 int (+ (* (- 1) skv_3) skv_8) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (nth1 int skv_9 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (nth1 int skv_12 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (none int) ) 15.53/15.92 ( int, (nth1 int (+ (- 1) skv_11) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (nth1 int (+ (- 1) skv_13) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (t2tb (tb2t (nth1 int skv_9 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))) ) 15.53/15.92 ( int, (t2tb (tb2t (nth1 int 0 (t2tb1 (tb2t1 (nil int)))))) ) 15.53/15.92 ( int, (nth1 int skv_14 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (list int), (some (list int) (nil int)) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_2)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (list int), (some (list int) (t2tb1 skv_7)) ) 15.53/15.92 ( (list int), (some (list int) (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 skv_4))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 skv_6))) ) 15.53/15.92 ( (option int), (some (option int) (some int (t2tb2 0))) ) 15.53/15.92 ( (option int), (some (option int) (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (V uni) (V1 uni)) (not (= (nil A) (cons A V V1))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((X1 list_int)) (let ((_let_0 (cons int (t2tb2 0) (t2tb1 X1)))) (let ((_let_1 (tb2t1 _let_0))) (let ((_let_2 (length1 int _let_0))) (or (and (zero_at1 _let_1 0) (>= _let_2 1)) (and (no_zero1 _let_1) (= _let_2 0)))))) ) 15.53/15.92 ( (tb2t1 (nil int)) ) 15.53/15.92 ( skv_2 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( skv_5 ) 15.53/15.92 ( skv_7 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((L list_int) (I Int)) (= (and (= (tb2t (nth1 int I (t2tb1 L))) (tb2t (some int (t2tb2 0)))) (forall ((J Int)) (or (not (>= (+ I (* (- 1) J)) 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 L)))))) )) (zero_at1 L I)) ) 15.53/15.92 ( (tb2t1 (nil int)), 0 ) 15.53/15.92 ( (tb2t1 (nil int)), skv_12 ) 15.53/15.92 ( (tb2t1 (nil int)), skv_14 ) 15.53/15.92 ( (tb2t1 (nil int)), skv_22 ) 15.53/15.92 ( skv_2, (+ (- 1) skv_11) ) 15.53/15.92 ( skv_2, skv_24 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))), skv_11 ) 15.53/15.92 ( skv_5, (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.92 ( skv_5, skv_10 ) 15.53/15.92 ( skv_5, (+ (- 1) skv_9) ) 15.53/15.92 ( skv_5, (+ (- 1) skv_13) ) 15.53/15.92 ( skv_5, (+ (- 1) skv_15) ) 15.53/15.92 ( skv_5, skv_23 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))), (+ (* (- 1) skv_3) skv_8) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))), skv_9 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))), skv_13 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))), skv_15 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))), skv_21 ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))), 0 ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))), skv_20 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))), skv_19 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))), skv_18 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))), skv_17 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))), 0 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))), skv_16 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (L uni)) (>= (length1 A L) 0) ) 15.53/15.92 ( int, (nil int) ) 15.53/15.92 ( int, (t2tb1 skv_2) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (t2tb1 skv_5) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (t2tb1 skv_7) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((I Int)) (= I (tb2t2 (t2tb2 I))) ) 15.53/15.92 ( 0 ) 15.53/15.92 ( skv_4 ) 15.53/15.92 ( skv_6 ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (U uni) (U1 uni)) (= U1 (cons_proj_21 A (cons A U U1))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (V uni)) (not (= (some A V) (none A))) ) 15.53/15.92 ( int, (t2tb2 0) ) 15.53/15.92 ( int, (t2tb2 skv_4) ) 15.53/15.92 ( int, (t2tb2 skv_6) ) 15.53/15.92 ( int, (some_proj_11 int (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (list int), (nil int) ) 15.53/15.92 ( (list int), (t2tb1 skv_2) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( (list int), (t2tb1 skv_5) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (t2tb1 skv_7) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( (option int), (some int (t2tb2 0)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_4)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_6)) ) 15.53/15.92 ( (option int), (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((L list_int)) (= (no_zero1 L) (forall ((J Int)) (let ((_let_0 (t2tb1 L))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) )) ) 15.53/15.92 ( (tb2t1 (nil int)) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( skv_5 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (L uni)) (= (= (length1 A L) 0) (= L (nil A))) ) 15.53/15.92 ( int, (nil int) ) 15.53/15.92 ( int, (t2tb1 skv_2) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (t2tb1 skv_5) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (t2tb1 skv_7) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (U uni)) (or (not (sort1 A U)) (= U (some_proj_11 A (some A U)))) ) 15.53/15.92 ( int, (t2tb2 0) ) 15.53/15.92 ( int, (t2tb2 skv_4) ) 15.53/15.92 ( int, (t2tb2 skv_6) ) 15.53/15.92 ( int, (some_proj_11 int (nth1 int 0 (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (list int), (nil int) ) 15.53/15.92 ( (list int), (t2tb1 skv_2) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( (list int), (t2tb1 skv_5) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (t2tb1 skv_7) ) 15.53/15.92 ( (list int), (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (list int), (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (list int), (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ( (option int), (some int (t2tb2 0)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_4)) ) 15.53/15.92 ( (option int), (some int (t2tb2 skv_6)) ) 15.53/15.92 ( (option int), (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (option int), (nth1 int (+ (- 1) skv_11) (t2tb1 skv_2)) ) 15.53/15.92 ( (option (list int)), (some (list int) (nil int)) ) 15.53/15.92 ( (option (list int)), (some (list int) (t2tb1 skv_2)) ) 15.53/15.92 ( (option (list int)), (some (list int) (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( (option (list int)), (some (list int) (t2tb1 skv_5)) ) 15.53/15.92 ( (option (list int)), (some (list int) (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (option (list int)), (some (list int) (t2tb1 skv_7)) ) 15.53/15.92 ( (option (list int)), (some (list int) (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (U uni)) (or (= U (cons A (cons_proj_11 A U) (cons_proj_21 A U))) (= U (nil A))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_2)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_4) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 skv_6) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( int, (let ((_let_0 (t2tb2 0))) (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_5)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 skv_7)) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( int, (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((I list_int)) (= I (tb2t1 (t2tb1 I))) ) 15.53/15.92 ( (tb2t1 (nil int)) ) 15.53/15.92 ( skv_2 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))) ) 15.53/15.92 ( skv_5 ) 15.53/15.92 ( skv_7 ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (nil int))))) ) 15.53/15.92 ( (let ((_let_0 (t2tb2 0))) (tb2t1 (cons int _let_0 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2))))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_5))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_7))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))))) ) 15.53/15.92 ( (tb2t1 (cons int (t2tb2 0) (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))))) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((J uni)) (= J (t2tb2 (tb2t2 J))) ) 15.53/15.92 ( (t2tb2 0) ) 15.53/15.92 ( (t2tb2 skv_4) ) 15.53/15.92 ( (t2tb2 skv_6) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((J uni)) (= J (t2tb (tb2t J))) ) 15.53/15.92 ( (some int (t2tb2 0)) ) 15.53/15.92 ( (nth1 int 0 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (nth1 int (+ (- 1) (* (- 1) skv_3) skv_8) (t2tb1 skv_5)) ) 15.53/15.92 ( (nth1 int (+ (* (- 1) skv_3) skv_8) (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (nth1 int skv_9 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (nth1 int skv_10 (t2tb1 skv_5)) ) 15.53/15.92 ( (nth1 int skv_11 (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2))))) ) 15.53/15.92 ( (nth1 int skv_12 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (nth1 int skv_13 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (nth1 int 0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (nth1 int 0 (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7))))) ) 15.53/15.92 ( (nth1 int skv_14 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (nth1 int skv_15 (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))) ) 15.53/15.92 ( (nth1 int skv_22 (t2tb1 (tb2t1 (nil int)))) ) 15.53/15.92 ( (nth1 int skv_24 (t2tb1 skv_2)) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty) (X uni) (X1 uni)) (= (length1 A X1) (+ (- 1) (length1 A (cons A X X1)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_2) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 skv_7) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (nil int))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 0) (t2tb1 skv_2)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5)))) ) 15.53/15.92 ( int, (t2tb2 0), (t2tb1 (tb2t1 (cons int (t2tb2 skv_6) (t2tb1 skv_7)))) ) 15.53/15.92 ( int, (t2tb2 skv_4), (t2tb1 skv_5) ) 15.53/15.92 ( int, (t2tb2 skv_6), (t2tb1 skv_7) ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((A ty)) (= (length1 A (nil A)) 0) ) 15.53/15.92 ( int ) 15.53/15.92 ) 15.53/15.92 (instantiation (forall ((J Int)) (or (>= (+ J skv_3 (* (- 1) skv_8)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.92 ( (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.92 ( skv_10 ) 15.53/15.92 ( (+ (- 1) skv_9) ) 15.53/15.92 ( (+ (- 1) skv_13) ) 15.53/15.92 ( (+ (- 1) skv_15) ) 15.53/15.92 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J skv_3 (* (- 1) skv_8)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( (+ (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_9 ) 15.53/15.93 ( skv_13 ) 15.53/15.93 ( skv_15 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (let ((_let_0 (t2tb1 (tb2t1 (nil int))))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( skv_12 ) 15.53/15.93 ( skv_14 ) 15.53/15.93 ( skv_22 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (let ((_let_1 (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J _let_1))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( skv_11 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (let ((_let_0 (t2tb1 skv_5))) (or (>= (+ J (* (- 1) (length1 int _let_0))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_0)))))) ) 15.53/15.93 ( (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_10 ) 15.53/15.93 ( (+ (- 1) skv_9) ) 15.53/15.93 ( (+ (- 1) skv_13) ) 15.53/15.93 ( (+ (- 1) skv_15) ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_9)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( (+ (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_9 ) 15.53/15.93 ( skv_13 ) 15.53/15.93 ( skv_15 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_10)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.93 ( (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_10 ) 15.53/15.93 ( (+ (- 1) skv_9) ) 15.53/15.93 ( (+ (- 1) skv_13) ) 15.53/15.93 ( (+ (- 1) skv_15) ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (let ((_let_0 (t2tb2 0))) (or (>= (+ J (* (- 1) skv_11)) 0) (not (>= J 0)) (not (= (tb2t (some int _let_0)) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int _let_0 (t2tb1 skv_2)))))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( skv_11 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_12)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (nil int)))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( skv_14 ) 15.53/15.93 ( skv_22 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_13)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( (+ (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_9 ) 15.53/15.93 ( skv_13 ) 15.53/15.93 ( skv_15 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_9)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.93 ( (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_10 ) 15.53/15.93 ( (+ (- 1) skv_9) ) 15.53/15.93 ( (+ (- 1) skv_13) ) 15.53/15.93 ( (+ (- 1) skv_15) ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_11)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_2)))))) ) 15.53/15.93 ( (+ (- 1) skv_11) ) 15.53/15.93 ( skv_24 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_13)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_5)))))) ) 15.53/15.93 ( (+ (- 1) (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_10 ) 15.53/15.93 ( (+ (- 1) skv_9) ) 15.53/15.93 ( (+ (- 1) skv_13) ) 15.53/15.93 ( (+ (- 1) skv_15) ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_14)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (nil int)))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( skv_14 ) 15.53/15.93 ( skv_22 ) 15.53/15.93 ) 15.53/15.93 (instantiation (forall ((J Int)) (or (>= (+ J (* (- 1) skv_15)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_4) (t2tb1 skv_5))))))))) ) 15.53/15.93 ( 0 ) 15.53/15.93 ( (+ (* (- 1) skv_3) skv_8) ) 15.53/15.93 ( skv_9 ) 15.53/15.93 ( skv_13 ) 15.53/15.93 ( skv_15 ) 15.53/15.93 ) 15.53/15.93 % SZS output end Proof for theBenchmark 15.53/15.93 EOF