0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.02/0.24 % Computer : n019.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:18:55 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.28 %----Proving without arithmetic mode 0.02/0.29 ------- cvc4-fof casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ... 0.02/0.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.06/0.33 % SZS status Theorem for theBenchmark 0.06/0.33 % SZS output start Proof for theBenchmark 0.06/0.33 (instantiation (forall ((K $$unsorted)) (not (= pls (bit1 K))) ) 0.06/0.33 ( pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((B_1 $$unsorted) (B_2 $$unsorted)) (= (ord_less nat B_1 (ti nat B_2)) (ord_less nat B_1 B_2)) ) 0.06/0.33 ( (zero_zero nat), n ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K $$unsorted)) (not (ord_less int (semiring_1_of_nat int K) (zero_zero int))) ) 0.06/0.33 ( (one_one nat) ) 0.06/0.33 ( n ) 0.06/0.33 ( (zero_zero nat) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero int))) (forall ((Wa $$unsorted)) (= (ord_less int Wa _let_0) (ord_less int (bit0 Wa) _let_0)) )) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (ord_less int X Y) (= X Y) (ord_less int Y X)) ) 0.06/0.33 ( pls, (zero_zero int) ) 0.06/0.33 ( (zero_zero int), pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less int (bit0 K_1) pls) (ord_less int K_1 pls)) ) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Z $$unsorted)) (not (= (zero_zero int) (plus_plus int (plus_plus int (one_one int) Z) Z))) ) 0.06/0.33 ( (semiring_1_of_nat int n) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less int pls K_1) (ord_less int pls (bit0 K_1))) ) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less int (bit0 K1) (bit0 K2)) (ord_less int K1 K2)) ) 0.06/0.33 ( pls, pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (bit0 B_1))) (forall ((B_1 $$unsorted)) (= _let_0 (ti int _let_0)) )) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (bit1 B_1))) (forall ((B_1 $$unsorted)) (= _let_0 (ti int _let_0)) )) 0.06/0.33 ( pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero int))) (forall ((Wa $$unsorted)) (= (ord_less int (bit1 Wa) _let_0) (ord_less int Wa _let_0)) )) 0.06/0.33 ( pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Na $$unsorted)) (= (= (zero_zero int) (semiring_1_of_nat int Na)) (= (zero_zero nat) Na)) ) 0.06/0.33 ( (one_one nat) ) 0.06/0.33 ( n ) 0.06/0.33 ( (zero_zero nat) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero int))) (forall ((Z_1 $$unsorted)) (= (ord_less int (plus_plus int (plus_plus int (one_one int) Z_1) Z_1) _let_0) (ord_less int Z_1 _let_0)) )) 0.06/0.33 ( (semiring_1_of_nat int n) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less int (bit1 K_1) pls) (ord_less int K_1 pls)) ) 0.06/0.33 ( pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (ord_less int K_1 L_1) (ord_less int (number_number_of int K_1) (number_number_of int L_1))) ) 0.06/0.33 ( pls, pls ) 0.06/0.33 ( pls, (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (ti T A))) (forall ((T $$unsorted) (A $$unsorted)) (= _let_0 (ti T _let_0)) )) 0.06/0.33 ( int, pls ) 0.06/0.33 ( int, t ) 0.06/0.33 ( nat, n ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_1502 $$unsorted)) (or (not (linordered_idom X_a)) (= (ord_less X_a BOUND_VARIABLE_1502 _let_0) (ord_less X_a (plus_plus X_a BOUND_VARIABLE_1502 BOUND_VARIABLE_1502) _let_0))) )) 0.06/0.33 ( nat, (one_one nat) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (one_one X_a))) (forall ((X_a $$unsorted)) (or (not (power X_a)) (not (semiring_0 X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (number_number_of X_a B_1))) (forall ((B_1 $$unsorted) (X_a $$unsorted)) (or (not (number X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.33 ( pls, int ) 0.06/0.33 ( pls, nat ) 0.06/0.33 ( (bit1 pls), int ) 0.06/0.33 ( (bit1 pls), nat ) 0.06/0.33 ( (bit0 (bit1 pls)), nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((B_1 $$unsorted)) (= (bit1 B_1) (bit1 (ti int B_1))) ) 0.06/0.33 ( pls ) 0.06/0.33 ( t ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((L_1 $$unsorted)) (= (= pls (bit0 L_1)) (= pls L_1)) ) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1588 $$unsorted)) (or (not (number_semiring X_a)) (= (semiring_1_of_nat X_a BOUND_VARIABLE_1588) (number_number_of X_a (semiring_1_of_nat int BOUND_VARIABLE_1588)))) ) 0.06/0.33 ( int, (one_one nat) ) 0.06/0.33 ( int, n ) 0.06/0.33 ( int, (zero_zero nat) ) 0.06/0.33 ( nat, (zero_zero nat) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K $$unsorted)) (= (plus_plus int (plus_plus int (one_one int) K) K) (bit1 K)) ) 0.06/0.33 ( pls ) 0.06/0.33 ( (semiring_1_of_nat int n) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (power_power X_a B_1 B_2))) (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (zero_neq_one X_a)) (not (no_zero_divisors X_a)) (not (mult_zero X_a)) (not (power X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.33 ( (plus_plus int (one_one int) (semiring_1_of_nat int n)), (number_number_of nat (bit0 (bit1 pls))), int ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted)) (or (not (mult_zero X_a)) (not (zero_neq_one X_a)) (not (no_zero_divisors X_a)) (not (power X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K $$unsorted)) (= (plus_plus int K K) (bit0 K)) ) 0.06/0.33 ( pls ) 0.06/0.33 ( (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1628 $$unsorted)) (or (not (linordered_idom X_a)) (not (ord_less X_a (power_power X_a BOUND_VARIABLE_1628 (number_number_of nat (bit0 (bit1 pls)))) (zero_zero X_a)))) ) 0.06/0.33 ( int, (plus_plus int (one_one int) (semiring_1_of_nat int n)) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_1638 $$unsorted)) (or (not (linordered_idom X_a)) (= (ord_less X_a _let_0 (power_power X_a BOUND_VARIABLE_1638 (number_number_of nat (bit0 (bit1 pls))))) (not (= _let_0 (ti X_a BOUND_VARIABLE_1638))))) )) 0.06/0.33 ( int, pls ) 0.06/0.33 ( int, (plus_plus int (one_one int) (semiring_1_of_nat int n)) ) 0.06/0.33 ( int, t ) 0.06/0.33 ( nat, n ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (one_one X_a))) (forall ((X_a $$unsorted)) (or (not (semiring_1 X_a)) (= _let_0 (power_power X_a _let_0 (number_number_of nat (bit0 (bit1 pls)))))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (number_number_of nat V_1))) (forall ((V_1 $$unsorted) (V $$unsorted)) (or (not (ord_less int V pls)) (= _let_0 (plus_plus nat (number_number_of nat V) _let_0))) )) 0.06/0.33 ( (bit1 pls), (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (plus_plus nat (number_number_of nat V) (number_number_of nat V_1)))) (let ((_let_1 (ord_less int V_1 pls))) (forall ((V_1 $$unsorted) (V $$unsorted)) (or (ord_less int V pls) (and (or (not _let_1) (= (number_number_of nat V) _let_0)) (or _let_1 (= _let_0 (number_number_of nat (plus_plus int V V_1)))))) ))) 0.06/0.33 ( (bit1 pls), (bit1 pls) ) 0.06/0.33 ( (semiring_1_of_nat int n), (one_one int) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted)) (or (not (number_ring X_a)) (= (one_one X_a) (number_number_of X_a (bit1 pls)))) ) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero nat))) (let ((_let_1 (zero_zero X_a))) (let ((_let_2 (number_number_of nat BOUND_VARIABLE_1704))) (let ((_let_3 (number_number_of nat BOUND_VARIABLE_1711))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_1704 $$unsorted) (BOUND_VARIABLE_1711 $$unsorted)) (or (not (semiring_0 X_a)) (not (power X_a)) (and (or (not (= _let_0 _let_2)) (= (one_one X_a) (power_power X_a _let_1 _let_2))) (or (= _let_0 _let_3) (= _let_1 (power_power X_a _let_1 _let_3))))) ))))) 0.06/0.33 ( int, (bit0 (bit1 pls)), (bit0 (bit1 pls)) ) 0.06/0.33 ( nat, (bit1 pls), (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (= (bit0 L_1) (bit0 K_1)) (= K_1 L_1)) ) 0.06/0.33 ( pls, pls ) 0.06/0.33 ( pls, (bit1 pls) ) 0.06/0.33 ( (bit1 pls), pls ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted)) (or (not (semiring_1 X_a)) (= _let_0 (power_power X_a _let_0 (number_number_of nat (bit0 (bit1 pls)))))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1745 $$unsorted) (BOUND_VARIABLE_1746 $$unsorted)) (or (not (linordered_idom X_a)) (not (number_ring X_a)) (= (ord_less X_a (number_number_of X_a BOUND_VARIABLE_1745) (number_number_of X_a BOUND_VARIABLE_1746)) (ord_less int BOUND_VARIABLE_1745 BOUND_VARIABLE_1746))) ) 0.06/0.33 ( int, pls, pls ) 0.06/0.33 ( int, pls, (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1762 $$unsorted)) (or (not (number_ring X_a)) (= (plus_plus X_a (number_number_of X_a BOUND_VARIABLE_1762) (one_one X_a)) (number_number_of X_a (plus_plus int BOUND_VARIABLE_1762 (bit1 pls))))) ) 0.06/0.33 ( nat, (bit1 pls) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted)) (or (not (semiring_0 X_a)) (not (power X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted)) (or (not (number_semiring X_a)) (= (number_number_of X_a pls) (zero_zero X_a))) ) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (= (plus_plus int W Z) (plus_plus int Z W)) ) 0.06/0.33 ( (one_one int), (semiring_1_of_nat int n) ) 0.06/0.33 ( (semiring_1_of_nat int n), (one_one int) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((M $$unsorted) (N $$unsorted)) (= (semiring_1_of_nat int (plus_plus nat M N)) (plus_plus int (semiring_1_of_nat int M) (semiring_1_of_nat int N))) ) 0.06/0.33 ( (one_one nat), (one_one nat) ) 0.06/0.33 ( (one_one nat), n ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (linordered_idom X_a)) (= (ord_less X_a B_1 (ti X_a B_2)) (ord_less X_a B_1 B_2))) ) 0.06/0.33 ( pls, pls, int ) 0.06/0.33 ( (one_one int), t, int ) 0.06/0.33 ( (zero_zero nat), n, nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_1801 $$unsorted)) (or (not (ring_11004092258visors X_a)) (= (= _let_0 (ti X_a BOUND_VARIABLE_1801)) (= _let_0 (power_power X_a BOUND_VARIABLE_1801 (number_number_of nat (bit0 (bit1 pls))))))) )) 0.06/0.33 ( int, pls ) 0.06/0.33 ( int, (plus_plus int (one_one int) (semiring_1_of_nat int n)) ) 0.06/0.33 ( int, t ) 0.06/0.33 ( nat, n ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted)) (or (not (number_ring X_a)) (= (number_number_of X_a pls) (zero_zero X_a))) ) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (one_one X_a))) (forall ((X_a $$unsorted)) (or (not (number_semiring X_a)) (= (number_number_of X_a (bit0 (bit1 pls))) (plus_plus X_a _let_0 _let_0))) )) 0.06/0.33 ( int ) 0.06/0.33 ( nat ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1846 $$unsorted)) (or (not (number_ring X_a)) (not (linordered_idom X_a)) (= (ord_less int BOUND_VARIABLE_1846 pls) (ord_less X_a (number_number_of X_a BOUND_VARIABLE_1846) (zero_zero X_a)))) ) 0.06/0.33 ( int, pls ) 0.06/0.33 ( int, (bit1 pls) ) 0.06/0.33 ( nat, pls ) 0.06/0.33 ( nat, (bit1 pls) ) 0.06/0.33 ( nat, (bit0 (bit1 pls)) ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (semiring_1_of_nat X_a B_1))) (forall ((B_1 $$unsorted) (X_a $$unsorted)) (or (not (number_semiring X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.34 ( (one_one nat), int ) 0.06/0.34 ( n, int ) 0.06/0.34 ( (zero_zero nat), int ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1899 $$unsorted)) (or (not (linordered_idom X_a)) (not (number_ring X_a)) (= (ord_less X_a (one_one X_a) (number_number_of X_a BOUND_VARIABLE_1899)) (ord_less int (bit1 pls) BOUND_VARIABLE_1899))) ) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, (bit1 pls) ) 0.06/0.34 ( nat, pls ) 0.06/0.34 ( nat, (bit1 pls) ) 0.06/0.34 ( nat, (bit0 (bit1 pls)) ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1920 $$unsorted) (BOUND_VARIABLE_1921 $$unsorted)) (or (not (number_ring X_a)) (= (plus_plus X_a (number_number_of X_a BOUND_VARIABLE_1920) (number_number_of X_a BOUND_VARIABLE_1921)) (number_number_of X_a (plus_plus int BOUND_VARIABLE_1920 BOUND_VARIABLE_1921)))) ) 0.06/0.34 ( nat, (bit1 pls), (bit1 pls) ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((B_1 $$unsorted)) (= (bit0 (ti int B_1)) (bit0 B_1)) ) 0.06/0.34 ( pls ) 0.06/0.34 ( t ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_1953 $$unsorted)) (or (not (number_ring X_a)) (not (linordered_idom X_a)) (= (ord_less int pls BOUND_VARIABLE_1953) (ord_less X_a (zero_zero X_a) (number_number_of X_a BOUND_VARIABLE_1953)))) ) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, (bit1 pls) ) 0.06/0.34 ( nat, pls ) 0.06/0.34 ( nat, (bit1 pls) ) 0.06/0.34 ( nat, (bit0 (bit1 pls)) ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((K $$unsorted) (L $$unsorted)) (not (= (bit0 K) (bit1 L))) ) 0.06/0.34 ( pls, pls ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_1972 $$unsorted)) (or (not (linord219039673up_add X_a)) (= (= _let_0 (ti X_a BOUND_VARIABLE_1972)) (= _let_0 (plus_plus X_a BOUND_VARIABLE_1972 BOUND_VARIABLE_1972)))) )) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, t ) 0.06/0.34 ( nat, (one_one nat) ) 0.06/0.34 ( nat, n ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (semiring_1_of_nat int Ma) (semiring_1_of_nat int Na)) (= Ma Na)) ) 0.06/0.34 ( (one_one nat), (one_one nat) ) 0.06/0.34 ( (one_one nat), n ) 0.06/0.34 ( n, (one_one nat) ) 0.06/0.34 ( n, (zero_zero nat) ) 0.06/0.34 ( (zero_zero nat), (one_one nat) ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (linordered_idom X_a)) (= (ord_less X_a B_1 B_2) (ord_less X_a (ti X_a B_1) B_2))) ) 0.06/0.34 ( pls, pls, int ) 0.06/0.34 ( pls, (one_one int), int ) 0.06/0.34 ( pls, (zero_zero int), int ) 0.06/0.34 ( pls, (plus_plus int (one_one int) (semiring_1_of_nat int n)), int ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (zero_zero X_a))) (let ((_let_1 (number_number_of nat BOUND_VARIABLE_2008))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_2007 $$unsorted) (BOUND_VARIABLE_2008 $$unsorted)) (or (not (power X_a)) (not (mult_zero X_a)) (not (zero_neq_one X_a)) (not (no_zero_divisors X_a)) (= (= _let_0 (power_power X_a BOUND_VARIABLE_2007 _let_1)) (and (not (= (zero_zero nat) _let_1)) (= _let_0 (ti X_a BOUND_VARIABLE_2007))))) ))) 0.06/0.34 ( int, (plus_plus int (one_one int) (semiring_1_of_nat int n)), (bit0 (bit1 pls)) ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_2032 $$unsorted)) (or (not (number_ring X_a)) (= (plus_plus X_a (number_number_of X_a pls) BOUND_VARIABLE_2032) (ti X_a BOUND_VARIABLE_2032))) ) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, t ) 0.06/0.34 ( nat, n ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (= (bit1 L_1) (bit1 K_1)) (= K_1 L_1)) ) 0.06/0.34 ( pls, pls ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((B_1 $$unsorted) (X_a $$unsorted)) (or (not (number X_a)) (= (number_number_of X_a B_1) (number_number_of X_a (ti int B_1)))) ) 0.06/0.34 ( pls, int ) 0.06/0.34 ( pls, nat ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((B_1 $$unsorted) (X_a $$unsorted)) (or (not (number_semiring X_a)) (= (semiring_1_of_nat X_a (ti nat B_1)) (semiring_1_of_nat X_a B_1))) ) 0.06/0.34 ( n, int ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (plus_plus X_a B_1 B_2))) (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (number_semiring X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.34 ( (one_one nat), (one_one nat), nat ) 0.06/0.34 ( (one_one int), (semiring_1_of_nat int n), int ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_2106 $$unsorted)) (or (not (number_ring X_a)) (= (plus_plus X_a BOUND_VARIABLE_2106 (number_number_of X_a pls)) (ti X_a BOUND_VARIABLE_2106))) ) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, t ) 0.06/0.34 ( nat, n ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (zero_zero X_a))) (forall ((X_a $$unsorted)) (or (not (linord219039673up_add X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.34 ( int ) 0.06/0.34 ( nat ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_2126 $$unsorted)) (or (not (number_ring X_a)) (= (plus_plus X_a (one_one X_a) (number_number_of X_a BOUND_VARIABLE_2126)) (number_number_of X_a (plus_plus int (bit1 pls) BOUND_VARIABLE_2126)))) ) 0.06/0.34 ( nat, (bit1 pls) ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (plus_plus X_a B_1 B_2))) (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (linord219039673up_add X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.34 ( (one_one nat), (one_one nat), nat ) 0.06/0.34 ( (one_one int), (semiring_1_of_nat int n), int ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_2182 $$unsorted)) (or (not (linordered_idom X_a)) (not (number_ring X_a)) (= (ord_less X_a (number_number_of X_a BOUND_VARIABLE_2182) (one_one X_a)) (ord_less int BOUND_VARIABLE_2182 (bit1 pls)))) ) 0.06/0.34 ( int, pls ) 0.06/0.34 ( int, (bit1 pls) ) 0.06/0.34 ( nat, pls ) 0.06/0.34 ( nat, (bit1 pls) ) 0.06/0.34 ( nat, (bit0 (bit1 pls)) ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (power_power X_a B_1 B_2))) (forall ((B_1 $$unsorted) (B_2 $$unsorted) (X_a $$unsorted)) (or (not (power X_a)) (not (semiring_0 X_a)) (= _let_0 (ti X_a _let_0))) )) 0.06/0.34 ( (plus_plus int (one_one int) (semiring_1_of_nat int n)), (number_number_of nat (bit0 (bit1 pls))), int ) 0.06/0.34 ) 0.06/0.34 (instantiation (let ((_let_0 (one_one X_a))) (forall ((X_a $$unsorted)) (or (not (number_ring X_a)) (= (number_number_of X_a (bit0 (bit1 pls))) (plus_plus X_a _let_0 _let_0))) )) 0.06/0.34 ( int ) 0.06/0.34 ( nat ) 0.06/0.34 ) 0.06/0.34 (instantiation (forall ((X_a $$unsorted) (BOUND_VARIABLE_2217 $$unsorted) (BOUND_VARIABLE_2218 $$unsorted)) (or (not (ring_char_0 X_a)) (not (number_ring X_a)) (= (= (number_number_of X_a BOUND_VARIABLE_2217) (number_number_of X_a BOUND_VARIABLE_2218)) (= BOUND_VARIABLE_2217 BOUND_VARIABLE_2218))) ) 0.06/0.34 ( int, pls, pls ) 0.06/0.34 ( int, pls, (bit1 pls) ) 0.06/0.34 ( int, (bit1 pls), pls ) 0.06/0.34 ( nat, pls, (bit0 (bit1 pls)) ) 0.06/0.34 ( nat, (bit1 pls), pls ) 0.06/0.34 ( nat, (bit1 pls), (bit0 (bit1 pls)) ) 0.06/0.34 ( nat, (bit0 (bit1 pls)), (bit1 pls) ) 0.06/0.34 ( nat, (bit0 (bit1 pls)), (bit0 (bit1 pls)) ) 0.06/0.34 ) 0.06/0.34 % SZS output end Proof for theBenchmark 0.06/0.36 EOF