0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.23 % Computer : n182.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:08:10 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.27 %----Proving without arithmetic mode 0.03/0.27 ------- cvc4-fof casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ... 0.03/0.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.11/20.33 --- Run --no-e-matching --full-saturate-quant at 20... 38.81/39.07 % SZS status Theorem for theBenchmark 38.81/39.07 % SZS output start Proof for theBenchmark 38.81/39.07 (skolem (forall ((I $$unsorted) (J $$unsorted)) (or (not (int_leq I n)) (not (int_less J I)) (not (int_leq int_one J)) (= (a I J) real_zero)) ) 38.81/39.07 ( skv_1 skv_2 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_one (plus int_zero K)))) ) 38.81/39.07 ( skv_3 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_1 (plus int_zero K)))) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_1 (plus int_one K)))) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_2 (plus int_zero K)))) ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_2 (plus int_one K)))) ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_zero (plus real_one K)))) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_one (plus real_one K)))) ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_1 (plus real_one K)))) ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_2 (plus real_one K)))) ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (skolem (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_1 (plus skv_2 K)))) ) 38.81/39.07 ( skv_12 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted)) (= (or (int_less I J) (= I J)) (int_leq I J)) ) 38.81/39.07 ( int_zero, int_zero ) 38.81/39.07 ( int_zero, n ) 38.81/39.07 ( int_zero, int_one ) 38.81/39.07 ( int_zero, real_zero ) 38.81/39.07 ( int_zero, real_one ) 38.81/39.07 ( int_zero, skv_1 ) 38.81/39.07 ( int_zero, skv_2 ) 38.81/39.07 ( int_zero, (a skv_1 skv_2) ) 38.81/39.07 ( int_zero, (plus int_one real_one) ) 38.81/39.07 ( int_zero, (plus int_one real_zero) ) 38.81/39.07 ( n, int_zero ) 38.81/39.07 ( n, int_one ) 38.81/39.07 ( int_one, n ) 38.81/39.07 ( int_one, real_zero ) 38.81/39.07 ( int_one, real_one ) 38.81/39.07 ( int_one, skv_1 ) 38.81/39.07 ( int_one, skv_2 ) 38.81/39.07 ( int_one, (a skv_1 skv_2) ) 38.81/39.07 ( real_one, int_zero ) 38.81/39.07 ( real_one, n ) 38.81/39.07 ( real_one, real_one ) 38.81/39.07 ( real_one, skv_1 ) 38.81/39.07 ( real_one, skv_2 ) 38.81/39.07 ( real_one, (a skv_1 skv_2) ) 38.81/39.07 ( skv_1, int_zero ) 38.81/39.07 ( skv_1, n ) 38.81/39.07 ( skv_1, int_one ) 38.81/39.07 ( skv_1, real_one ) 38.81/39.07 ( skv_1, skv_2 ) 38.81/39.07 ( skv_1, (a skv_1 skv_2) ) 38.81/39.07 ( skv_2, int_zero ) 38.81/39.07 ( skv_2, n ) 38.81/39.07 ( skv_2, int_one ) 38.81/39.07 ( skv_2, real_one ) 38.81/39.07 ( skv_2, (a skv_1 skv_2) ) 38.81/39.07 ( (a skv_1 skv_2), int_zero ) 38.81/39.07 ( (a skv_1 skv_2), real_one ) 38.81/39.07 ( (a skv_1 skv_2), skv_2 ) 38.81/39.07 ( (a skv_1 skv_2), (a skv_1 skv_2) ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted)) (or (int_leq J I) (int_less I J)) ) 38.81/39.07 ( int_zero, int_zero ) 38.81/39.07 ( int_zero, n ) 38.81/39.07 ( int_zero, real_zero ) 38.81/39.07 ( int_zero, real_one ) 38.81/39.07 ( int_zero, skv_1 ) 38.81/39.07 ( int_zero, (a skv_1 skv_2) ) 38.81/39.07 ( n, n ) 38.81/39.07 ( int_one, int_zero ) 38.81/39.07 ( int_one, skv_1 ) 38.81/39.07 ( int_one, skv_2 ) 38.81/39.07 ( int_one, (a skv_1 skv_2) ) 38.81/39.07 ( real_one, int_zero ) 38.81/39.07 ( real_one, n ) 38.81/39.07 ( real_one, real_one ) 38.81/39.07 ( real_one, skv_1 ) 38.81/39.07 ( real_one, skv_2 ) 38.81/39.07 ( real_one, (a skv_1 skv_2) ) 38.81/39.07 ( skv_1, skv_1 ) 38.81/39.07 ( skv_1, skv_2 ) 38.81/39.07 ( skv_1, (a skv_1 skv_2) ) 38.81/39.07 ( skv_2, n ) 38.81/39.07 ( skv_2, skv_2 ) 38.81/39.07 ( skv_2, (a skv_1 skv_2) ) 38.81/39.07 ( (a skv_1 skv_2), skv_2 ) 38.81/39.07 ( (a skv_1 skv_2), (a skv_1 skv_2) ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted)) (= (int_less int_zero I) (int_leq int_one I)) ) 38.81/39.07 ( int_zero ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_zero ) 38.81/39.07 ( real_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((J $$unsorted)) (not (int_less J J)) ) 38.81/39.07 ( int_zero ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_zero ) 38.81/39.07 ( real_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (or (not (int_leq I2 J2)) (not (int_less I1 J1)) (int_leq (plus I1 I2) (plus J1 J2))) ) 38.81/39.07 ( int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( int_zero, int_one, int_zero, int_zero ) 38.81/39.07 ( int_zero, int_one, int_zero, int_one ) 38.81/39.07 ( int_zero, int_one, int_zero, real_zero ) 38.81/39.07 ( int_zero, int_one, int_zero, real_one ) 38.81/39.07 ( int_zero, int_one, int_zero, skv_1 ) 38.81/39.07 ( int_zero, int_one, int_one, int_one ) 38.81/39.07 ( int_zero, int_one, int_one, skv_1 ) 38.81/39.07 ( int_zero, int_one, real_zero, int_zero ) 38.81/39.07 ( int_zero, int_one, real_one, int_zero ) 38.81/39.07 ( int_zero, int_one, real_one, int_one ) 38.81/39.07 ( int_zero, int_one, real_one, real_one ) 38.81/39.07 ( int_zero, int_one, real_one, skv_1 ) 38.81/39.07 ( int_zero, int_one, skv_1, skv_1 ) 38.81/39.07 ( int_zero, skv_1, int_zero, skv_1 ) 38.81/39.07 ( int_zero, skv_1, int_one, skv_1 ) 38.81/39.07 ( int_zero, skv_1, real_one, real_one ) 38.81/39.07 ( int_zero, skv_1, real_one, skv_1 ) 38.81/39.07 ( int_zero, skv_1, skv_1, skv_1 ) 38.81/39.07 ( int_zero, skv_2, int_zero, int_zero ) 38.81/39.07 ( int_one, n, (plus int_zero int_zero), (plus int_one int_zero) ) 38.81/39.07 ( int_one, skv_1, int_one, int_one ) 38.81/39.07 ( int_one, skv_2, (plus int_zero int_zero), (plus int_one int_zero) ) 38.81/39.07 ( real_one, int_zero, int_one, int_one ) 38.81/39.07 ( real_one, int_zero, real_one, int_zero ) 38.81/39.07 ( real_one, int_zero, real_one, int_one ) 38.81/39.07 ( real_one, int_zero, real_one, real_one ) 38.81/39.07 ( real_one, int_one, int_one, int_one ) 38.81/39.07 ( real_one, int_one, real_one, int_one ) 38.81/39.07 ( real_one, int_one, real_one, real_one ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted)) (= I (plus I int_zero)) ) 38.81/39.07 ( int_zero ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_zero ) 38.81/39.07 ( real_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( skv_3 ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (or (not (int_less I J)) (not (int_less J K)) (int_less I K)) ) 38.81/39.07 ( int_zero, int_zero, int_zero ) 38.81/39.07 ( int_zero, n, int_zero ) 38.81/39.07 ( int_zero, n, real_one ) 38.81/39.07 ( int_zero, n, (a skv_1 skv_2) ) 38.81/39.07 ( int_zero, int_one, int_zero ) 38.81/39.07 ( int_zero, int_one, n ) 38.81/39.07 ( int_zero, int_one, real_zero ) 38.81/39.07 ( int_zero, int_one, real_one ) 38.81/39.07 ( int_zero, int_one, skv_1 ) 38.81/39.07 ( int_zero, int_one, (a skv_1 skv_2) ) 38.81/39.07 ( int_zero, skv_1, int_zero ) 38.81/39.07 ( int_zero, skv_1, n ) 38.81/39.07 ( int_zero, skv_1, real_one ) 38.81/39.07 ( int_zero, skv_1, (a skv_1 skv_2) ) 38.81/39.07 ( int_zero, skv_2, int_zero ) 38.81/39.07 ( int_zero, skv_2, real_one ) 38.81/39.07 ( int_zero, skv_2, skv_1 ) 38.81/39.07 ( int_zero, skv_2, (a skv_1 skv_2) ) 38.81/39.07 ( int_one, n, int_one ) 38.81/39.07 ( int_one, skv_1, int_one ) 38.81/39.07 ( int_one, skv_2, int_one ) 38.81/39.07 ( real_one, int_zero, int_one ) 38.81/39.07 ( real_one, int_zero, skv_1 ) 38.81/39.07 ( skv_1, int_zero, int_one ) 38.81/39.07 ( skv_2, skv_1, n ) 38.81/39.07 ( (a skv_1 skv_2), int_zero, int_one ) 38.81/39.07 ( (a skv_1 skv_2), int_zero, skv_1 ) 38.81/39.07 ( (a skv_1 skv_2), int_zero, skv_2 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted)) (= (plus J I) (plus I J)) ) 38.81/39.07 ( int_zero, int_zero ) 38.81/39.07 ( int_zero, n ) 38.81/39.07 ( int_zero, int_one ) 38.81/39.07 ( int_zero, real_zero ) 38.81/39.07 ( int_zero, real_one ) 38.81/39.07 ( int_zero, skv_1 ) 38.81/39.07 ( int_zero, skv_2 ) 38.81/39.07 ( int_zero, (a skv_1 skv_2) ) 38.81/39.07 ( int_zero, (a int_zero int_zero) ) 38.81/39.07 ( int_zero, (plus int_one int_one) ) 38.81/39.07 ( int_zero, (a (plus int_one int_one) int_one) ) 38.81/39.07 ( int_zero, skv_3 ) 38.81/39.07 ( int_zero, (plus int_one n) ) 38.81/39.07 ( int_zero, (plus int_one skv_1) ) 38.81/39.07 ( int_zero, (plus int_one skv_2) ) 38.81/39.07 ( int_zero, (plus skv_1 skv_1) ) 38.81/39.07 ( int_zero, skv_4 ) 38.81/39.07 ( int_zero, skv_5 ) 38.81/39.07 ( int_zero, skv_6 ) 38.81/39.07 ( int_zero, skv_7 ) 38.81/39.07 ( int_zero, (plus int_one real_one) ) 38.81/39.07 ( int_zero, (plus int_one real_zero) ) 38.81/39.07 ( int_zero, (plus real_one real_one) ) 38.81/39.07 ( int_zero, skv_8 ) 38.81/39.07 ( int_zero, skv_9 ) 38.81/39.07 ( n, n ) 38.81/39.07 ( int_one, n ) 38.81/39.07 ( int_one, real_one ) 38.81/39.07 ( int_one, skv_1 ) 38.81/39.07 ( int_one, skv_2 ) 38.81/39.07 ( int_one, (a skv_1 skv_2) ) 38.81/39.07 ( int_one, (a int_zero int_zero) ) 38.81/39.07 ( int_one, (plus int_one int_one) ) 38.81/39.07 ( real_one, n ) 38.81/39.07 ( real_one, real_one ) 38.81/39.07 ( real_one, skv_1 ) 38.81/39.07 ( real_one, skv_2 ) 38.81/39.07 ( real_one, (a skv_1 skv_2) ) 38.81/39.07 ( real_one, (a int_zero int_zero) ) 38.81/39.07 ( skv_1, n ) 38.81/39.07 ( skv_1, skv_1 ) 38.81/39.07 ( skv_1, skv_2 ) 38.81/39.07 ( skv_1, (a skv_1 skv_2) ) 38.81/39.07 ( skv_1, (a int_zero int_zero) ) 38.81/39.07 ( skv_1, (plus int_one int_one) ) 38.81/39.07 ( skv_2, n ) 38.81/39.07 ( skv_2, int_one ) 38.81/39.07 ( skv_2, skv_2 ) 38.81/39.07 ( skv_2, (a skv_1 skv_2) ) 38.81/39.07 ( skv_2, (plus int_one int_one) ) 38.81/39.07 ( (a skv_1 skv_2), int_zero ) 38.81/39.07 ( (a skv_1 skv_2), n ) 38.81/39.07 ( (a skv_1 skv_2), (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero), int_zero ) 38.81/39.07 ( (a (plus int_one int_one) int_one), int_zero ) 38.81/39.07 ( skv_3, int_zero ) 38.81/39.07 ( (plus int_one n), int_zero ) 38.81/39.07 ( (plus int_one skv_1), int_zero ) 38.81/39.07 ( (plus int_one skv_2), int_zero ) 38.81/39.07 ( (plus skv_1 skv_1), int_zero ) 38.81/39.07 ( skv_4, int_zero ) 38.81/39.07 ( skv_5, int_zero ) 38.81/39.07 ( skv_6, int_zero ) 38.81/39.07 ( skv_7, int_zero ) 38.81/39.07 ( (plus int_one real_one), int_zero ) 38.81/39.07 ( (plus int_one real_zero), int_zero ) 38.81/39.07 ( (plus real_one real_one), int_zero ) 38.81/39.07 ( skv_8, int_zero ) 38.81/39.07 ( skv_9, int_zero ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_534 $$unsorted) (BOUND_VARIABLE_542 $$unsorted) (BOUND_VARIABLE_543 $$unsorted) (BOUND_VARIABLE_557 $$unsorted) (BOUND_VARIABLE_558 $$unsorted)) (or (not (int_leq I n)) (not (int_leq int_one J)) (not (int_leq J n)) (not (int_leq int_one I)) (and (or (not (int_leq BOUND_VARIABLE_534 J)) (not (int_leq int_one BOUND_VARIABLE_534)) (= real_one (a BOUND_VARIABLE_534 BOUND_VARIABLE_534))) (or (not (= J (plus I BOUND_VARIABLE_542))) (not (int_less int_zero BOUND_VARIABLE_542)) (not (int_leq int_one BOUND_VARIABLE_543)) (not (int_leq BOUND_VARIABLE_543 I)) (= real_zero (a BOUND_VARIABLE_543 (plus BOUND_VARIABLE_543 BOUND_VARIABLE_542)))) (or (not (= I (plus J BOUND_VARIABLE_557))) (not (int_less int_zero BOUND_VARIABLE_557)) (not (int_leq BOUND_VARIABLE_558 J)) (not (int_leq int_one BOUND_VARIABLE_558)) (= real_zero (a (plus BOUND_VARIABLE_558 BOUND_VARIABLE_557) BOUND_VARIABLE_558))))) ) 38.81/39.07 ( int_zero, int_zero, int_zero, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( n, n, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( n, skv_2, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( int_one, n, int_zero, int_zero, int_zero, n, int_one ) 38.81/39.07 ( int_one, n, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( int_one, int_one, int_zero, int_zero, int_zero, int_one, int_one ) 38.81/39.07 ( int_one, int_one, real_zero, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( int_one, int_one, real_one, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_1, int_zero, n, int_one, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_1, int_zero, int_one, int_one, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_1, int_zero, skv_2, int_one, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_1, n, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_2, int_zero, int_zero, int_zero, n, int_one ) 38.81/39.07 ( int_one, skv_2, int_zero, int_zero, int_zero, skv_2, int_one ) 38.81/39.07 ( int_one, skv_2, int_zero, int_one, int_one, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_2, int_zero, skv_1, int_one, int_zero, int_zero ) 38.81/39.07 ( int_one, skv_2, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( skv_1, n, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( skv_1, skv_1, int_zero, int_zero, int_zero, int_one, int_one ) 38.81/39.07 ( skv_1, skv_1, int_zero, int_zero, int_zero, skv_1, int_one ) 38.81/39.07 ( skv_1, skv_1, int_zero, int_zero, int_zero, skv_2, int_one ) 38.81/39.07 ( skv_1, skv_1, int_one, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( skv_1, skv_1, skv_1, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( skv_1, skv_1, skv_2, int_zero, int_zero, int_zero, int_zero ) 38.81/39.07 ( skv_1, skv_2, int_zero, int_zero, int_zero, n, int_one ) 38.81/39.07 ( skv_1, skv_2, int_zero, int_zero, int_zero, skv_2, int_one ) 38.81/39.07 ( skv_1, skv_2, int_zero, skv_1, int_one, int_zero, int_zero ) 38.81/39.07 ( skv_1, skv_2, int_zero, skv_2, int_one, int_zero, int_zero ) 38.81/39.07 ( skv_1, skv_2, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( skv_1, skv_2, int_one, int_one, int_one, skv_12, skv_2 ) 38.81/39.07 ( skv_2, n, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ( skv_2, skv_2, int_zero, int_zero, int_zero, int_one, int_one ) 38.81/39.07 ( skv_2, skv_2, int_zero, int_zero, int_zero, skv_2, int_one ) 38.81/39.07 ( skv_2, skv_2, n, int_one, int_one, int_one, int_one ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((I $$unsorted) (J $$unsorted)) (= (int_less I J) (not (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= J (plus I K)))) ))) ) 38.81/39.07 ( int_zero, int_zero ) 38.81/39.07 ( int_zero, int_one ) 38.81/39.07 ( int_zero, real_zero ) 38.81/39.07 ( int_zero, real_one ) 38.81/39.07 ( int_zero, skv_1 ) 38.81/39.07 ( int_zero, skv_2 ) 38.81/39.07 ( int_one, int_zero ) 38.81/39.07 ( int_one, int_one ) 38.81/39.07 ( int_one, real_one ) 38.81/39.07 ( int_one, skv_1 ) 38.81/39.07 ( int_one, skv_2 ) 38.81/39.07 ( real_one, int_zero ) 38.81/39.07 ( real_one, int_one ) 38.81/39.07 ( real_one, real_one ) 38.81/39.07 ( real_one, skv_1 ) 38.81/39.07 ( real_one, skv_2 ) 38.81/39.07 ( skv_1, int_zero ) 38.81/39.07 ( skv_1, int_one ) 38.81/39.07 ( skv_1, real_one ) 38.81/39.07 ( skv_1, skv_1 ) 38.81/39.07 ( skv_1, skv_2 ) 38.81/39.07 ( skv_2, int_zero ) 38.81/39.07 ( skv_2, int_one ) 38.81/39.07 ( skv_2, real_one ) 38.81/39.07 ( skv_2, skv_1 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_zero (plus int_zero K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_zero (plus int_one K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_zero ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_one (plus int_one K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( real_zero ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_4 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_zero (plus skv_1 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_one (plus skv_1 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_1 (plus skv_1 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_one (plus int_zero K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_one) ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_zero (plus int_zero K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus int_one real_zero) ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_one (plus int_one K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( (a skv_1 skv_2) ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_6 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( (plus real_one real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_one (plus real_one K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( int_one ) 38.81/39.07 ( skv_1 ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_one (plus skv_1 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (a int_zero int_zero) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= skv_2 (plus skv_1 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (a (plus int_one int_one) int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ( (plus skv_1 skv_1) ) 38.81/39.07 ( (plus skv_1 skv_2) ) 38.81/39.07 ( skv_5 ) 38.81/39.07 ( skv_7 ) 38.81/39.07 ( (plus skv_1 real_one) ) 38.81/39.07 ( skv_8 ) 38.81/39.07 ( skv_9 ) 38.81/39.07 ( skv_10 ) 38.81/39.07 ( skv_11 ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_zero (plus skv_2 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= int_one (plus skv_2 K)))) ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ) 38.81/39.07 (instantiation (forall ((K $$unsorted)) (or (not (int_less int_zero K)) (not (= real_one (plus skv_2 K)))) ) 38.81/39.07 ( n ) 38.81/39.07 ( skv_2 ) 38.81/39.07 ( (plus int_one int_one) ) 38.81/39.07 ( (plus int_one n) ) 38.81/39.07 ( (plus int_one skv_1) ) 38.81/39.07 ( (plus int_one skv_2) ) 38.81/39.07 ) 38.81/39.08 % SZS output end Proof for theBenchmark 38.81/39.08 EOF