%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU945^5 : 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 : n007.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 08:53:34 AM UTC 2026 % Result : Theorem 0.61s 0.82s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU945^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n007.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 18:00:11 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.61/0.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.61/0.82 % SZS status Theorem % 0.61/0.82 % SZS output start Proof % 0.61/0.82 ( % 0.61/0.82 (declare-sort $$unsorted 0) % 0.61/0.82 (define @t1 () (@var "Xy" $$unsorted)) % 0.61/0.82 (define @t2 () (@var "Xx" $$unsorted)) % 0.61/0.82 (define @t3 () (= @t2 @t1)) % 0.61/0.82 (define @t4 () (@var "Xf" (-> $$unsorted $$unsorted Bool))) % 0.61/0.82 (define @t5 () (= (_ @t4 @t2) (_ @t4 @t1))) % 0.61/0.82 (define @t6 () (@list @t2 @t1)) % 0.61/0.82 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.61/0.82 (define @t8 () (@list @t4)) % 0.61/0.82 (define @t9 () (exists @t8 @t7)) % 0.61/0.82 (define @t10 () (not @t9)) % 0.61/0.82 (define @t11 () (forall @t6 (or (not @t5) @t3))) % 0.61/0.82 (define @t12 () (forall @t8 (not @t11))) % 0.61/0.82 (define @t13 () (@var "BOUND_VARIABLE_21484" $$unsorted)) % 0.61/0.82 (define @t14 () (@list @t13)) % 0.61/0.82 (define @t15 () (lambda @t14 (= @t1 @t13))) % 0.61/0.82 (define @t16 () (@var "BOUND_VARIABLE_21483" $$unsorted)) % 0.61/0.82 (define @t17 () (lambda (@list @t16 @t13) (= @t16 @t13))) % 0.61/0.82 (define @t18 () (_ @t17 @t1)) % 0.61/0.82 (define @t19 () (lambda @t14 (= @t2 @t13))) % 0.61/0.82 (define @t20 () (_ @t17 @t2)) % 0.61/0.82 (define @t21 () (= @t20 @t18)) % 0.61/0.82 (define @t22 () (not @t21)) % 0.61/0.82 (define @t23 () (or @t22 @t3)) % 0.61/0.82 (define @t24 () (forall @t6 @t23)) % 0.61/0.82 (define @t25 () (not @t24)) % 0.61/0.82 (define @t26 () (forall @t6 (or (not (= @t19 @t15)) @t3))) % 0.61/0.82 (define @t27 () (not @t26)) % 0.61/0.82 (define @t28 () (@list false)) % 0.61/0.82 (define @t29 () (@quantifiers_skolemize @t26 1)) % 0.61/0.82 (define @t30 () (@quantifiers_skolemize @t26 0)) % 0.61/0.82 (define @t31 () (= @t30 @t29)) % 0.61/0.82 (define @t32 () (= @t13 @t30)) % 0.61/0.82 (define @t33 () (lambda @t14 @t32)) % 0.61/0.82 (define @t34 () (@purify @t33)) % 0.61/0.82 (define @t35 () (= @t13 @t29)) % 0.61/0.82 (define @t36 () (lambda @t14 @t35)) % 0.61/0.82 (define @t37 () (@purify @t36)) % 0.61/0.82 (define @t38 () (= @t37 @t34)) % 0.61/0.82 (define @t39 () (not @t38)) % 0.61/0.82 (define @t40 () (or @t39 @t31)) % 0.61/0.82 (define @t41 () (not @t40)) % 0.61/0.82 (define @t42 () (= @t33 @t36)) % 0.61/0.82 (define @t43 () (not @t42)) % 0.61/0.82 (define @t44 () (or @t43 @t31)) % 0.61/0.82 (define @t45 () (not @t44)) % 0.61/0.82 (define @t46 () (lambda @t14 (= @t29 @t13))) % 0.61/0.82 (define @t47 () (lambda @t14 (= @t30 @t13))) % 0.61/0.82 (define @t48 () (= @t47 @t46)) % 0.61/0.82 (define @t49 () (not @t48)) % 0.61/0.82 (define @t50 () (or @t49 @t31)) % 0.61/0.82 (define @t51 () (not @t50)) % 0.61/0.82 (define @t52 () (@list true)) % 0.61/0.82 (define @t53 () (@list @t40)) % 0.61/0.82 (define @t54 () (forall @t14 (= @t35 @t32))) % 0.61/0.82 (define @t55 () (=> @t38 @t54)) % 0.61/0.82 (define @t56 () (forall @t14 (= @t32 @t35))) % 0.61/0.82 (define @t57 () (= (= @t29 @t30) (= @t29 @t29))) % 0.61/0.82 (assume @p1 @t10) % 0.61/0.82 (assume @p2 true) % 0.61/0.82 (step @p3 :rule bool-double-not-elim :args (@t12)) % 0.61/0.82 (step @p4 :rule exists-elim :args ((= (exists @t8 @t11) (not @t12)))) % 0.61/0.82 (step @p5 :rule bool-impl-elim :args (@t5 @t3)) % 0.61/0.82 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 0.61/0.82 (step @p7 :rule cong :premises (@p6) :args (@t9)) % 0.61/0.82 (step @p8 :rule trans :premises (@p7 @p4)) % 0.61/0.82 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.61/0.82 (step @p10 :rule trans :premises (@p9 @p3)) % 0.61/0.82 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.61/0.82 (step @p12 :rule refl :args (@t3)) % 0.61/0.82 (step @p13 :rule beta-reduce :args ((= @t18 @t15))) % 0.61/0.82 (step @p14 :rule beta-reduce :args ((= @t20 @t19))) % 0.61/0.82 (step @p15 :rule cong :premises (@p14 @p13) :args (@t21)) % 0.61/0.82 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.61/0.82 (step @p17 :rule nary_cong :premises (@p16 @p12) :args (@t23)) % 0.61/0.82 (step @p18 :rule cong :premises (@p17) :args (@t24)) % 0.61/0.82 (step @p19 :rule cong :premises (@p18) :args (@t25)) % 0.61/0.82 (step @p20 :rule refl :args (@t12)) % 0.61/0.82 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t12 @t25))) % 0.61/0.82 (assume-push @p103 @t12) % 0.61/0.82 (step @p23 :rule instantiate :premises (@p11) :args ((@list @t17))) % 0.61/0.82 (step-pop @p104 :rule scope :premises (@p23)) % 0.61/0.82 (step @p24 :rule process_scope :premises (@p104) :args (@t25)) % 0.61/0.82 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.61/0.82 (step @p27 :rule implies_elim :premises (@p26)) % 0.61/0.82 (step @p28 :rule chain_m_resolution :premises (@p27 @p11) :args (@t27 @t28 (@list @t12))) % 0.61/0.82 (step @p29 :rule refl :args (@t41)) % 0.61/0.82 (step @p30 :rule bool-double-not-elim :args (@t26)) % 0.61/0.82 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t27) @t41))) % 0.61/0.82 (step @p32 :rule refl :args (@t31)) % 0.61/0.82 (step @p33 :rule eq-symm :args (@t34 @t37)) % 0.61/0.82 (step @p34 :rule eq-refl :args (@t36)) % 0.61/0.82 (step @p35 :rule skolem_intro :args (@t37)) % 0.61/0.82 (step @p36 :rule refl :args (@t36)) % 0.61/0.82 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t36 @t37))) % 0.61/0.83 (step @p38 :rule trans :premises (@p37 @p34)) % 0.61/0.83 (step @p39 :rule true_elim :premises (@p38)) % 0.61/0.83 (step @p40 :rule eq-refl :args (@t33)) % 0.61/0.83 (step @p41 :rule skolem_intro :args (@t34)) % 0.61/0.83 (step @p42 :rule refl :args (@t33)) % 0.61/0.83 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t33 @t34))) % 0.61/0.83 (step @p44 :rule trans :premises (@p43 @p40)) % 0.61/0.83 (step @p45 :rule true_elim :premises (@p44)) % 0.61/0.83 (step @p46 :rule cong :premises (@p45 @p39) :args (@t42)) % 0.61/0.83 (step @p47 :rule trans :premises (@p46 @p33)) % 0.61/0.83 (step @p48 :rule cong :premises (@p47) :args (@t43)) % 0.61/0.83 (step @p49 :rule nary_cong :premises (@p48 @p32) :args (@t44)) % 0.61/0.83 (step @p50 :rule cong :premises (@p49) :args (@t45)) % 0.61/0.83 (step @p51 :rule refl :args (@t27)) % 0.61/0.83 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t27 @t45))) % 0.61/0.83 (step @p53 :rule eq-symm :args (@t29 @t13)) % 0.61/0.83 (step @p54 :rule cong :premises (@p53) :args (@t46)) % 0.61/0.83 (step @p55 :rule eq-symm :args (@t30 @t13)) % 0.61/0.83 (step @p56 :rule cong :premises (@p55) :args (@t47)) % 0.61/0.83 (step @p57 :rule cong :premises (@p56 @p54) :args (@t48)) % 0.61/0.83 (step @p58 :rule cong :premises (@p57) :args (@t49)) % 0.61/0.83 (step @p59 :rule nary_cong :premises (@p58 @p32) :args (@t50)) % 0.61/0.83 (step @p60 :rule cong :premises (@p59) :args (@t51)) % 0.61/0.83 (step @p61 :rule cong :premises (@p51 @p60) :args ((=> @t27 @t51))) % 0.61/0.83 (step @p62 :rule trans :premises (@p61 @p52)) % 0.61/0.83 (assume-push @p105 @t27) % 0.61/0.83 (step @p64 :rule skolemize :premises (@p28)) % 0.61/0.83 (step-pop @p106 :rule scope :premises (@p64)) % 0.61/0.83 (step @p65 :rule process_scope :premises (@p106) :args (@t51)) % 0.61/0.83 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.61/0.83 (step @p68 :rule implies_elim :premises (@p67)) % 0.61/0.83 (step @p69 :rule eq_resolve :premises (@p68 @p31)) % 0.61/0.83 (step @p70 :rule chain_m_resolution :premises (@p69 @p28) :args (@t41 @t52 (@list @t26))) % 0.61/0.83 (step @p71 :rule cnf_or_neg :args (@t40 1)) % 0.61/0.83 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args ((not @t31) @t52 @t53)) % 0.61/0.83 (step @p73 :rule bool-double-not-elim :args (@t38)) % 0.61/0.83 (step @p74 :rule refl :args (@t40)) % 0.61/0.83 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t40 (not @t39)))) % 0.61/0.83 (step @p76 :rule cnf_or_neg :args (@t40 0)) % 0.61/0.83 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.61/0.83 (step @p78 :rule reordering :premises (@p77) :args ((or @t38 @t40))) % 0.61/0.83 (step @p79 :rule chain_m_resolution :premises (@p78 @p70) :args (@t38 @t52 @t53)) % 0.61/0.83 (step @p80 :rule eq-symm :args (@t35 @t32)) % 0.61/0.83 (step @p81 :rule cong :premises (@p80) :args (@t54)) % 0.61/0.83 (step @p82 :rule refl :args (@t38)) % 0.61/0.83 (step @p83 :rule cong :premises (@p82 @p81) :args (@t55)) % 0.61/0.83 ; WARNING: add trust step for TRUST % 0.61/0.83 ; trust TRUST THEORY_LEMMA % 0.61/0.83 (step @p84 :rule trust :premises () :args (@t55)) % 0.61/0.83 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.61/0.83 (step @p86 :rule implies_elim :premises (@p85)) % 0.61/0.83 (step @p87 :rule chain_m_resolution :premises (@p86 @p79) :args (@t56 @t28 (@list @t38))) % 0.61/0.83 (step @p88 :rule bool-eq-true :args (@t31)) % 0.61/0.83 (step @p89 :rule eq-refl :args (@t29)) % 0.61/0.83 (step @p90 :rule eq-symm :args (@t29 @t30)) % 0.61/0.83 (step @p91 :rule cong :premises (@p90 @p89) :args (@t57)) % 0.61/0.83 (step @p92 :rule trans :premises (@p91 @p88)) % 0.61/0.83 (step @p93 :rule refl :args (@t56)) % 0.61/0.83 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t56 @t57))) % 0.61/0.83 (assume-push @p107 @t56) % 0.61/0.83 (step @p96 :rule instantiate :premises (@p87) :args ((@list @t29))) % 0.61/0.83 (step-pop @p108 :rule scope :premises (@p96)) % 0.61/0.83 (step @p97 :rule process_scope :premises (@p108) :args (@t57)) % 0.61/0.83 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.61/0.83 (step @p100 :rule implies_elim :premises (@p99)) % 0.61/0.83 (step @p101 :rule reordering :premises (@p100) :args ((or @t31 (not @t56)))) % 0.61/0.83 (step @p102 false :rule chain_m_resolution :premises (@p101 @p87 @p72) :args (false (@list false true) (@list @t56 @t31))) % 0.61/0.83 ) % 0.61/0.83 % SZS output end Proof % 0.61/0.83 % cvc5 exiting %------------------------------------------------------------------------------