%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU882^5 : 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 : n015.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 08:53:28 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU882^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:57:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.37/0.62 (define @t4 () (_ @t3 @t2)) % 0.37/0.62 (define @t5 () (@list @t3 @t2)) % 0.37/0.62 (define @t6 () (exists @t5 (= @t4 @t1))) % 0.37/0.62 (define @t7 () (@list @t1)) % 0.37/0.62 (define @t8 () (forall @t7 @t6)) % 0.37/0.62 (define @t9 () (not @t8)) % 0.37/0.62 (define @t10 () (_ @t3 @t2)) % 0.37/0.62 (define @t11 () (= @t1 @t4)) % 0.37/0.62 (define @t12 () (not @t11)) % 0.37/0.62 (define @t13 () (forall @t5 @t12)) % 0.37/0.62 (define @t14 () (not @t13)) % 0.37/0.62 (define @t15 () (forall @t7 (not (forall @t5 (not (= @t1 @t10)))))) % 0.37/0.62 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.37/0.62 (define @t17 () (forall @t5 (not (= @t10 @t16)))) % 0.37/0.62 (define @t18 () (not @t15)) % 0.37/0.62 (define @t19 () (not (= @t16 @t10))) % 0.37/0.62 (define @t20 () (forall @t5 @t19)) % 0.37/0.62 (define @t21 () (not (not @t20))) % 0.37/0.62 (define @t22 () (@var "BOUND_VARIABLE_14492" $$unsorted)) % 0.37/0.62 (define @t23 () (lambda (@list @t22) @t22)) % 0.37/0.62 (define @t24 () (= (_ @t23 @t16) @t16)) % 0.37/0.62 (define @t25 () (not @t24)) % 0.37/0.62 (assume @p1 @t9) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule refl :args (@t10)) % 0.37/0.62 (step @p4 :rule refl :args (@t4)) % 0.37/0.62 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t10))) % 0.37/0.62 (step @p6 :rule symm :premises (@p5)) % 0.37/0.62 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.62 (step @p8 :rule refl :args (@t1)) % 0.37/0.62 (step @p9 :rule cong :premises (@p8 @p7) :args (@t11)) % 0.37/0.62 (step @p10 :rule cong :premises (@p9) :args (@t12)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args (@t13)) % 0.37/0.62 (step @p12 :rule cong :premises (@p11) :args (@t14)) % 0.37/0.62 (step @p13 :rule exists-elim :args ((= (exists @t5 @t11) @t14))) % 0.37/0.62 (step @p14 :rule trans :premises (@p13 @p12)) % 0.37/0.62 (step @p15 :rule eq-symm :args (@t4 @t1)) % 0.37/0.62 (step @p16 :rule cong :premises (@p15) :args (@t6)) % 0.37/0.62 (step @p17 :rule trans :premises (@p16 @p14)) % 0.37/0.62 (step @p18 :rule cong :premises (@p17) :args (@t8)) % 0.37/0.62 (step @p19 :rule cong :premises (@p18) :args (@t9)) % 0.37/0.62 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.37/0.62 (step @p21 :rule refl :args (@t17)) % 0.37/0.62 (step @p22 :rule bool-double-not-elim :args (@t15)) % 0.37/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t18) @t17))) % 0.37/0.62 (step @p24 :rule eq-symm :args (@t16 @t10)) % 0.37/0.62 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.37/0.62 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.37/0.62 (step @p27 :rule bool-double-not-elim :args (@t20)) % 0.37/0.62 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.62 (step @p29 :rule refl :args (@t18)) % 0.37/0.62 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t18 @t21))) % 0.37/0.62 (assume-push @p56 @t18) % 0.37/0.62 (step @p32 :rule skolemize :premises (@p20)) % 0.37/0.62 (step-pop @p57 :rule scope :premises (@p32)) % 0.37/0.62 (step @p33 :rule process_scope :premises (@p57) :args (@t21)) % 0.37/0.62 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.37/0.62 (step @p36 :rule implies_elim :premises (@p35)) % 0.37/0.62 (step @p37 :rule eq_resolve :premises (@p36 @p23)) % 0.37/0.62 (step @p38 :rule chain_m_resolution :premises (@p37 @p20) :args (@t17 (@list true) (@list @t15))) % 0.37/0.62 (step @p39 :rule bool-impl-false1 :args (@t17)) % 0.37/0.62 (step @p40 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p41 :rule eq-refl :args (@t16)) % 0.37/0.62 (step @p42 :rule refl :args (@t16)) % 0.37/0.62 (step @p43 :rule beta-reduce :args (@t24)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43 @p42) :args (@t24)) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p41)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args (@t25)) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p40)) % 0.37/0.62 (step @p48 :rule cong :premises (@p21 @p47) :args ((=> @t17 @t25))) % 0.37/0.62 (step @p49 :rule trans :premises (@p48 @p39)) % 0.37/0.62 (assume-push @p58 @t17) % 0.37/0.62 (step @p51 :rule instantiate :premises (@p38) :args ((@list @t23 @t16))) % 0.37/0.62 (step-pop @p59 :rule scope :premises (@p51)) % 0.37/0.62 (step @p52 :rule process_scope :premises (@p59) :args (@t25)) % 0.37/0.62 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.37/0.62 (step @p55 false :rule chain_m_resolution :premises (@p54 @p38) :args (false (@list false) (@list @t17))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------