%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP065^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:57 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ITP065^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n013.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 04:13:00 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.tree_b 0) % 0.36/0.57 (declare-sort tptp.b 0) % 0.36/0.57 (declare-const tptp.e_b tptp.tree_b) % 0.36/0.57 (declare-const tptp.val_b (-> tptp.tree_b tptp.b)) % 0.36/0.57 (declare-const tptp.ord_less_eq_b_o (-> (-> tptp.b Bool) (-> tptp.b Bool) Bool)) % 0.36/0.57 (declare-const tptp.heapIm1257206335ight_b (-> tptp.tree_b tptp.tree_b)) % 0.36/0.57 (declare-const tptp.ord_less_eq_Tree_b_o (-> (-> tptp.tree_b Bool) (-> tptp.tree_b Bool) Bool)) % 0.36/0.57 (declare-const tptp.heapIm1140443834left_b (-> tptp.tree_b tptp.tree_b)) % 0.36/0.57 (declare-const tptp.t_b (-> tptp.b tptp.tree_b tptp.tree_b tptp.tree_b)) % 0.36/0.57 (declare-const tptp.pred_Tree_b (-> (-> tptp.b Bool) tptp.tree_b Bool)) % 0.36/0.57 (declare-const tptp.in_tree_b (-> tptp.b tptp.tree_b Bool)) % 0.36/0.57 (define tptp.heapIm229596387mpty_b () (let ((_let_1 (@var "T" tptp.tree_b))) (lambda (@list _let_1) (= _let_1 tptp.e_b)))) % 0.36/0.57 (define @t1 () (@var "V" tptp.b)) % 0.36/0.57 (define @t2 () (_ tptp.in_tree_b @t1)) % 0.36/0.57 (define @t3 () (@var "P" (-> tptp.b Bool))) % 0.36/0.57 (define @t4 () (_ tptp.pred_Tree_b @t3)) % 0.36/0.57 (define @t5 () (@var "Y23" tptp.tree_b)) % 0.36/0.57 (define @t6 () (@var "X23" tptp.tree_b)) % 0.36/0.57 (define @t7 () (@var "Y22" tptp.tree_b)) % 0.36/0.57 (define @t8 () (@var "X22" tptp.tree_b)) % 0.36/0.57 (define @t9 () (@var "Y21" tptp.b)) % 0.36/0.57 (define @t10 () (@var "X21" tptp.b)) % 0.36/0.57 (define @t11 () (_ (_ (_ tptp.t_b @t10) @t8) @t6)) % 0.36/0.57 (define @t12 () (@var "Ab" tptp.tree_b)) % 0.36/0.57 (define @t13 () (@var "Aa" tptp.tree_b)) % 0.36/0.57 (define @t14 () (@var "A" tptp.b)) % 0.36/0.57 (define @t15 () (@var "R" tptp.tree_b)) % 0.36/0.57 (define @t16 () (@var "L" tptp.tree_b)) % 0.36/0.57 (define @t17 () (@var "V2" tptp.b)) % 0.36/0.57 (define @t18 () (@var "X232" tptp.tree_b)) % 0.36/0.57 (define @t19 () (@var "X222" tptp.tree_b)) % 0.36/0.57 (define @t20 () (@var "X212" tptp.b)) % 0.36/0.57 (define @t21 () (@var "Y" tptp.tree_b)) % 0.36/0.57 (define @t22 () (@var "Tree" tptp.tree_b)) % 0.36/0.57 (define @t23 () (@var "P" (-> tptp.tree_b Bool))) % 0.36/0.57 (define @t24 () (@var "X3" tptp.tree_b)) % 0.36/0.57 (define @t25 () (@var "X2" tptp.tree_b)) % 0.36/0.57 (define @t26 () (@var "X1" tptp.b)) % 0.36/0.57 (define @t27 () (_ tptp.t_b @t1)) % 0.36/0.57 (define @t28 () (_ (_ @t27 @t16) @t15)) % 0.36/0.57 (define @t29 () (@list @t1 @t16 @t15)) % 0.36/0.57 (define @t30 () (@var "Pa" (-> tptp.b Bool))) % 0.36/0.57 (define @t31 () (@var "Uv" tptp.tree_b)) % 0.36/0.57 (define @t32 () (@var "Uu" tptp.tree_b)) % 0.36/0.57 (define @t33 () (not (_ tptp.heapIm229596387mpty_b tptp.e_b))) % 0.36/0.57 (define @t34 () (@var "T" tptp.tree_b)) % 0.36/0.57 (define @t35 () (@list @t34)) % 0.36/0.57 (define @t36 () (lambda @t35 (= @t34 tptp.e_b))) % 0.36/0.57 (define @t37 () (_ (lambda @t35 (= tptp.e_b @t34)) tptp.e_b)) % 0.36/0.57 (assume @p1 (forall (@list @t1) (not (_ @t2 tptp.e_b)))) % 0.36/0.57 (assume @p2 (forall (@list @t3) (_ @t4 tptp.e_b))) % 0.36/0.57 (assume @p3 (forall (@list @t10 @t8 @t6 @t9 @t7 @t5) (= (= @t11 (_ (_ (_ tptp.t_b @t9) @t7) @t5)) (and (= @t10 @t9) (= @t8 @t7) (= @t6 @t5))))) % 0.36/0.57 (assume @p4 (forall (@list @t3 @t14 @t13 @t12) (= (_ @t4 (_ (_ (_ tptp.t_b @t14) @t13) @t12)) (and (_ @t3 @t14) (_ @t4 @t13) (_ @t4 @t12))))) % 0.36/0.57 (assume @p5 (forall (@list @t1 @t17 @t16 @t15) (= (_ @t2 (_ (_ (_ tptp.t_b @t17) @t16) @t15)) (or (= @t1 @t17) (_ @t2 @t16) (_ @t2 @t15))))) % 0.36/0.57 (assume @p6 (forall (@list @t21) (=> (not (= @t21 tptp.e_b)) (not (forall (@list @t20 @t19 @t18) (not (= @t21 (_ (_ (_ tptp.t_b @t20) @t19) @t18)))))))) % 0.36/0.57 (assume @p7 (forall (@list @t23 @t22) (=> (_ @t23 tptp.e_b) (=> (forall (@list @t26 @t25 @t24) (=> (_ @t23 @t25) (=> (_ @t23 @t24) (_ @t23 (_ (_ (_ tptp.t_b @t26) @t25) @t24))))) (_ @t23 @t22))))) % 0.36/0.57 (assume @p8 (forall (@list @t10 @t8 @t6) (not (= tptp.e_b @t11)))) % 0.36/0.57 (assume @p9 (forall @t29 (= (_ tptp.heapIm1140443834left_b @t28) @t16))) % 0.36/0.57 (assume @p10 (forall @t29 (= (_ tptp.heapIm1257206335ight_b @t28) @t15))) % 0.36/0.57 (assume @p11 (forall (@list @t3 @t30) (=> (_ (_ tptp.ord_less_eq_b_o @t3) @t30) (_ (_ tptp.ord_less_eq_Tree_b_o @t4) (_ tptp.pred_Tree_b @t30))))) % 0.36/0.57 (assume @p12 (forall (@list @t1 @t32 @t31) (= (_ tptp.val_b (_ (_ @t27 @t32) @t31)) @t1))) % 0.36/0.57 (assume @p13 @t33) % 0.36/0.57 (assume @p14 true) % 0.36/0.57 (step @p15 (= tptp.heapIm229596387mpty_b @t36) :rule refl :args (@t36)) % 0.36/0.57 (step @p16 :rule evaluate :args ((not true))) % 0.36/0.57 (step @p17 :rule eq-refl :args (tptp.e_b)) % 0.36/0.57 (step @p18 :rule beta-reduce :args ((= @t37 (= tptp.e_b tptp.e_b)))) % 0.36/0.58 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.58 (step @p20 :rule cong :premises (@p19) :args ((not @t37))) % 0.36/0.58 (step @p21 :rule trans :premises (@p20 @p16)) % 0.36/0.58 (step @p22 :rule refl :args (tptp.e_b)) % 0.36/0.58 (step @p23 :rule eq-symm :args (@t34 tptp.e_b)) % 0.36/0.58 (step @p24 :rule cong :premises (@p23) :args (@t36)) % 0.36/0.58 (step @p25 :rule trans :premises (@p15 @p24)) % 0.36/0.58 (step @p26 :rule ho_cong :premises (@p25 @p22)) % 0.36/0.58 (step @p27 :rule cong :premises (@p26) :args (@t33)) % 0.36/0.58 (step @p28 :rule trans :premises (@p27 @p21)) % 0.36/0.58 (step @p29 false :rule eq_resolve :premises (@p13 @p28)) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------