%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO375^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:12:31 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO375^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:06:24 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.56 (define @t3 () (_ @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.56 (define @t5 () (_ @t4 @t1)) % 0.37/0.56 (define @t6 () (= @t5 @t3)) % 0.37/0.56 (define @t7 () (@list @t1)) % 0.37/0.56 (define @t8 () (forall @t7 @t6)) % 0.37/0.56 (define @t9 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t10 () (_ @t2 @t9)) % 0.37/0.56 (define @t11 () (_ @t4 @t9)) % 0.37/0.56 (define @t12 () (= @t11 @t10)) % 0.37/0.56 (define @t13 () (@list @t9)) % 0.37/0.56 (define @t14 () (forall @t13 @t12)) % 0.37/0.56 (define @t15 () (=> @t14 @t8)) % 0.37/0.56 (define @t16 () (@list @t4 @t2)) % 0.37/0.56 (define @t17 () (forall @t16 @t15)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (@var "BOUND_VARIABLE_7438" $$unsorted)) % 0.37/0.56 (define @t20 () (= (_ @t4 @t19) (_ @t2 @t19))) % 0.37/0.56 (define @t21 () (_ @t2 @t9)) % 0.37/0.56 (define @t22 () (_ @t4 @t9)) % 0.37/0.56 (define @t23 () (forall @t13 (= @t22 @t21))) % 0.37/0.56 (define @t24 () (not @t23)) % 0.37/0.56 (define @t25 () (or @t24 @t20)) % 0.37/0.56 (define @t26 () (forall (@list @t4 @t2 @t19) @t25)) % 0.37/0.56 (define @t27 () (@list @t19)) % 0.37/0.56 (define @t28 () (forall @t27 @t25)) % 0.37/0.56 (define @t29 () (forall @t27 @t20)) % 0.37/0.56 (define @t30 () (or @t24 @t29)) % 0.37/0.56 (define @t31 () (_ @t2 @t1)) % 0.37/0.56 (define @t32 () (_ @t4 @t1)) % 0.37/0.56 (define @t33 () (forall @t7 (= @t32 @t31))) % 0.37/0.56 (define @t34 () (@quantifiers_skolemize @t26 1)) % 0.37/0.56 (define @t35 () (@quantifiers_skolemize @t26 0)) % 0.37/0.56 (define @t36 () (forall @t13 (= (_ @t35 @t9) (_ @t34 @t9)))) % 0.37/0.56 (define @t37 () (@quantifiers_skolemize @t26 2)) % 0.37/0.56 (define @t38 () (= (_ @t35 @t37) (_ @t34 @t37))) % 0.37/0.56 (define @t39 () (not @t36)) % 0.37/0.56 (define @t40 () (or @t39 @t38)) % 0.37/0.56 (define @t41 () (@list true)) % 0.37/0.56 (define @t42 () (@list @t40)) % 0.37/0.56 (assume @p1 @t18) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule quant-merge-prenex :args ((= (forall @t16 @t28) @t26))) % 0.37/0.56 (step @p4 :rule alpha_equiv :args (@t29 (@list @t19) (@list @t1))) % 0.37/0.56 (step @p5 :rule refl :args (@t24)) % 0.37/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t30)) % 0.37/0.56 (step @p7 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.37/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.37/0.56 (step @p9 :rule symm :premises (@p8)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t16 (or @t24 @t33)))) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p3)) % 0.37/0.56 (step @p12 :rule bool-impl-elim :args (@t23 @t33)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t16 (=> @t23 @t33)))) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.37/0.56 (step @p15 :rule refl :args (@t31)) % 0.37/0.56 (step @p16 :rule refl :args (@t3)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t31))) % 0.37/0.56 (step @p18 :rule symm :premises (@p17)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.56 (step @p20 :rule refl :args (@t32)) % 0.37/0.56 (step @p21 :rule refl :args (@t5)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t5 @t32))) % 0.37/0.56 (step @p23 :rule symm :premises (@p22)) % 0.37/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p19) :args (@t6)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t8)) % 0.37/0.56 (step @p27 :rule refl :args (@t21)) % 0.37/0.56 (step @p28 :rule refl :args (@t10)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t10 @t21))) % 0.37/0.56 (step @p30 :rule symm :premises (@p29)) % 0.37/0.56 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.37/0.56 (step @p32 :rule refl :args (@t22)) % 0.37/0.56 (step @p33 :rule refl :args (@t11)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t11 @t22))) % 0.37/0.56 (step @p35 :rule symm :premises (@p34)) % 0.37/0.56 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36 @p31) :args (@t12)) % 0.37/0.56 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38 @p26) :args (@t15)) % 0.37/0.56 (step @p40 :rule cong :premises (@p39) :args (@t17)) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p14)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.37/0.56 (step @p44 :rule skolemize :premises (@p43)) % 0.37/0.56 (step @p45 :rule bool-double-not-elim :args (@t36)) % 0.37/0.56 (step @p46 :rule refl :args (@t40)) % 0.37/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t40 (not @t39)))) % 0.37/0.56 (step @p48 :rule cnf_or_neg :args (@t40 0)) % 0.37/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t36 @t40))) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t36 @t41 @t42)) % 0.37/0.57 (step @p52 :rule cnf_or_neg :args (@t40 1)) % 0.37/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p44) :args ((not @t38) @t41 @t42)) % 0.37/0.57 (assume-push @p60 @t36) % 0.37/0.57 (step @p55 :rule instantiate :premises (@p51) :args ((@list @t37))) % 0.37/0.57 (step-pop @p61 :rule scope :premises (@p55)) % 0.37/0.57 (step @p56 :rule process_scope :premises (@p61) :args (@t38)) % 0.37/0.57 (step @p58 :rule implies_elim :premises (@p56)) % 0.37/0.57 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p51) :args (false (@list true false) (@list @t38 @t36))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------