%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO289^5 : 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 : n028.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 09:12:22 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO289^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:02:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "Xr" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.38/0.59 (define @t5 () (@list @t2)) % 0.38/0.59 (define @t6 () (exists @t5 @t4)) % 0.38/0.59 (define @t7 () (@var "Xp" (-> $$unsorted Bool))) % 0.38/0.59 (define @t8 () (_ @t7 @t1)) % 0.38/0.59 (define @t9 () (@list @t7)) % 0.38/0.59 (define @t10 () (forall @t9 @t8)) % 0.38/0.59 (define @t11 () (=> @t10 @t6)) % 0.38/0.59 (define @t12 () (@list @t3 @t1)) % 0.38/0.59 (define @t13 () (forall @t12 @t11)) % 0.38/0.59 (define @t14 () (not @t13)) % 0.38/0.59 (define @t15 () (_ @t7 @t1)) % 0.38/0.59 (define @t16 () (forall @t9 @t15)) % 0.38/0.59 (define @t17 () (_ @t3 @t2 @t1)) % 0.38/0.59 (define @t18 () (not (forall @t5 (not @t17)))) % 0.38/0.59 (define @t19 () (not @t4)) % 0.38/0.59 (define @t20 () (forall @t5 @t19)) % 0.38/0.59 (define @t21 () (not @t20)) % 0.38/0.59 (define @t22 () (forall @t12 (or (not @t16) @t18))) % 0.38/0.59 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.38/0.59 (define @t24 () (forall @t9 (_ @t7 @t23))) % 0.38/0.59 (define @t25 () (not @t24)) % 0.38/0.59 (define @t26 () (or @t25 (not (forall @t5 (not (_ (@quantifiers_skolemize @t22 0) @t2 @t23)))))) % 0.38/0.59 (define @t27 () (lambda (@list (@var "BOUND_VARIABLE_14532" $$unsorted)) false)) % 0.38/0.59 (define @t28 () (_ @t27 @t23)) % 0.38/0.59 (assume @p1 @t14) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule bool-impl-elim :args (@t16 @t18)) % 0.38/0.59 (step @p4 :rule cong :premises (@p3) :args ((forall @t12 (=> @t16 @t18)))) % 0.38/0.59 (step @p5 :rule refl :args (@t17)) % 0.38/0.59 (step @p6 :rule refl :args (@t4)) % 0.38/0.59 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t17))) % 0.38/0.59 (step @p8 :rule symm :premises (@p7)) % 0.38/0.59 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9) :args (@t19)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10) :args (@t20)) % 0.38/0.59 (step @p12 :rule cong :premises (@p11) :args (@t21)) % 0.38/0.59 (step @p13 :rule exists-elim :args ((= @t6 @t21))) % 0.38/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.59 (step @p15 :rule refl :args (@t15)) % 0.38/0.59 (step @p16 :rule refl :args (@t8)) % 0.38/0.59 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t8 @t15))) % 0.38/0.59 (step @p18 :rule symm :premises (@p17)) % 0.38/0.59 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.59 (step @p20 :rule cong :premises (@p19) :args (@t10)) % 0.38/0.59 (step @p21 :rule cong :premises (@p20 @p14) :args (@t11)) % 0.38/0.59 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 0.38/0.59 (step @p23 :rule trans :premises (@p22 @p4)) % 0.38/0.59 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 0.38/0.59 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.38/0.59 (step @p26 :rule skolemize :premises (@p25)) % 0.38/0.59 (step @p27 :rule bool-double-not-elim :args (@t24)) % 0.38/0.59 (step @p28 :rule refl :args (@t26)) % 0.38/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t26 (not @t25)))) % 0.38/0.59 (step @p30 :rule cnf_or_neg :args (@t26 0)) % 0.38/0.59 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.38/0.59 (step @p32 :rule reordering :premises (@p31) :args ((or @t24 @t26))) % 0.38/0.59 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t24 (@list true) (@list @t26))) % 0.38/0.59 (step @p34 :rule bool-impl-false1 :args (@t24)) % 0.38/0.59 (step @p35 :rule beta-reduce :args ((= @t28 false))) % 0.38/0.59 (step @p36 :rule refl :args (@t24)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t24 @t28))) % 0.38/0.59 (step @p38 :rule trans :premises (@p37 @p34)) % 0.38/0.59 (assume-push @p45 @t24) % 0.38/0.59 (step @p40 :rule instantiate :premises (@p33) :args ((@list @t27))) % 0.38/0.59 (step-pop @p46 :rule scope :premises (@p40)) % 0.38/0.59 (step @p41 :rule process_scope :premises (@p46) :args (@t28)) % 0.38/0.59 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.38/0.59 (step @p44 false :rule chain_m_resolution :premises (@p43 @p33) :args (false (@list false) (@list @t24))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------