%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO095^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:12:02 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO095^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.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 : Tue Jun 2 23:58:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----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 $$unsorted 0) % 0.37/0.62 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t2 () (_ (_ tptp.cR @t1) @t1)) % 0.37/0.62 (define @t3 () (@list @t1)) % 0.37/0.62 (define @t4 () (forall @t3 @t2)) % 0.37/0.62 (define @t5 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t6 () (_ (_ tptp.cR @t5) @t5)) % 0.37/0.62 (define @t7 () (@list @t5)) % 0.37/0.62 (define @t8 () (exists @t7 @t6)) % 0.37/0.62 (define @t9 () (=> @t8 @t4)) % 0.37/0.62 (define @t10 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t11 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t12 () (_ (_ tptp.cR @t11) @t10)) % 0.37/0.62 (define @t13 () (_ (_ tptp.cR @t10) @t10)) % 0.37/0.62 (define @t14 () (= @t13 @t12)) % 0.37/0.62 (define @t15 () (forall (@list @t10 @t11) @t14)) % 0.37/0.62 (define @t16 () (@var "T" $$unsorted)) % 0.37/0.62 (define @t17 () (@var "S" $$unsorted)) % 0.37/0.62 (define @t18 () (_ tptp.cR @t17)) % 0.37/0.62 (define @t19 () (_ @t18 @t16)) % 0.37/0.62 (define @t20 () (_ @t18 @t17)) % 0.37/0.62 (define @t21 () (= @t20 @t19)) % 0.37/0.62 (define @t22 () (@list @t17 @t16)) % 0.37/0.62 (define @t23 () (forall @t22 @t21)) % 0.37/0.62 (define @t24 () (and @t23 @t15)) % 0.37/0.62 (define @t25 () (=> @t24 @t9)) % 0.37/0.62 (define @t26 () (not @t25)) % 0.37/0.62 (define @t27 () (tptp.cR @t1 @t1)) % 0.37/0.62 (define @t28 () (tptp.cR @t5 @t5)) % 0.37/0.62 (define @t29 () (not @t6)) % 0.37/0.62 (define @t30 () (forall @t7 @t29)) % 0.37/0.62 (define @t31 () (not @t30)) % 0.37/0.62 (define @t32 () (tptp.cR @t11 @t10)) % 0.37/0.62 (define @t33 () (tptp.cR @t10 @t10)) % 0.37/0.62 (define @t34 () (tptp.cR @t17 @t16)) % 0.37/0.62 (define @t35 () (tptp.cR @t17 @t17)) % 0.37/0.62 (define @t36 () (@quantifiers_skolemize (forall @t3 @t27) 0)) % 0.37/0.62 (define @t37 () (forall @t7 (not @t28))) % 0.37/0.62 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.37/0.62 (define @t39 () (tptp.cR @t38 @t38)) % 0.37/0.62 (define @t40 () (not @t37)) % 0.37/0.62 (define @t41 () (not @t39)) % 0.37/0.62 (define @t42 () (not @t41)) % 0.37/0.62 (define @t43 () (tptp.cR @t36 @t38)) % 0.37/0.62 (define @t44 () (= @t39 @t43)) % 0.37/0.62 (define @t45 () (tptp.cR @t36 @t36)) % 0.37/0.62 (define @t46 () (= @t45 @t43)) % 0.37/0.62 (define @t47 () (not @t46)) % 0.37/0.62 (define @t48 () (@list true false)) % 0.37/0.62 (define @t49 () (forall @t22 (= @t35 @t34))) % 0.37/0.62 (assume @p1 @t26) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule refl :args (@t27)) % 0.37/0.62 (step @p4 :rule refl :args (@t2)) % 0.37/0.62 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t27))) % 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 cong :premises (@p7) :args (@t4)) % 0.37/0.62 (step @p9 :rule refl :args (@t28)) % 0.37/0.62 (step @p10 :rule refl :args (@t6)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t28))) % 0.37/0.62 (step @p12 :rule symm :premises (@p11)) % 0.37/0.62 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.37/0.62 (step @p14 :rule cong :premises (@p13) :args (@t29)) % 0.37/0.62 (step @p15 :rule cong :premises (@p14) :args (@t30)) % 0.37/0.62 (step @p16 :rule cong :premises (@p15) :args (@t31)) % 0.37/0.62 (step @p17 :rule exists-elim :args ((= @t8 @t31))) % 0.37/0.62 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.62 (step @p19 :rule cong :premises (@p18 @p8) :args (@t9)) % 0.37/0.62 (step @p20 :rule refl :args (@t32)) % 0.37/0.62 (step @p21 :rule refl :args (@t12)) % 0.37/0.62 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t12 @t32))) % 0.37/0.62 (step @p23 :rule symm :premises (@p22)) % 0.37/0.62 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.37/0.63 (step @p25 :rule refl :args (@t33)) % 0.37/0.63 (step @p26 :rule refl :args (@t13)) % 0.37/0.63 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t13 @t33))) % 0.37/0.63 (step @p28 :rule symm :premises (@p27)) % 0.37/0.63 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.63 (step @p30 :rule cong :premises (@p29 @p24) :args (@t14)) % 0.37/0.63 (step @p31 :rule cong :premises (@p30) :args (@t15)) % 0.37/0.63 (step @p32 :rule refl :args (@t34)) % 0.37/0.63 (step @p33 :rule refl :args (@t19)) % 0.37/0.63 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t19 @t34))) % 0.37/0.63 (step @p35 :rule symm :premises (@p34)) % 0.37/0.63 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.37/0.63 (step @p37 :rule refl :args (@t35)) % 0.37/0.63 (step @p38 :rule refl :args (@t20)) % 0.37/0.63 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t20 @t35))) % 0.37/0.63 (step @p40 :rule symm :premises (@p39)) % 0.37/0.63 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.37/0.63 (step @p42 :rule cong :premises (@p41 @p36) :args (@t21)) % 0.37/0.63 (step @p43 :rule cong :premises (@p42) :args (@t23)) % 0.37/0.63 (step @p44 :rule nary_cong :premises (@p43 @p31) :args (@t24)) % 0.37/0.63 (step @p45 :rule cong :premises (@p44 @p19) :args (@t25)) % 0.34/0.63 (step @p46 :rule cong :premises (@p45) :args (@t26)) % 0.34/0.63 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.34/0.63 (step @p48 :rule not_implies_elim1 :premises (@p47)) % 0.34/0.63 (step @p49 :rule and_elim :premises (@p48) :args (0)) % 0.34/0.63 (step @p50 :rule and_elim :premises (@p48) :args (1)) % 0.34/0.63 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t38 @t36))) % 0.34/0.63 (step @p52 :rule not_implies_elim2 :premises (@p47)) % 0.34/0.63 (step @p53 :rule not_implies_elim1 :premises (@p52)) % 0.34/0.63 (step @p54 :rule refl :args (@t39)) % 0.34/0.63 (step @p55 :rule bool-double-not-elim :args (@t37)) % 0.34/0.63 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t40) @t39))) % 0.34/0.63 (step @p57 :rule bool-double-not-elim :args (@t39)) % 0.34/0.63 (step @p58 :rule refl :args (@t40)) % 0.34/0.63 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t40 @t42))) % 0.34/0.63 (assume-push @p82 @t40) % 0.34/0.63 (step @p61 :rule skolemize :premises (@p53)) % 0.34/0.63 (step-pop @p83 :rule scope :premises (@p61)) % 0.34/0.63 (step @p62 :rule process_scope :premises (@p83) :args (@t42)) % 0.34/0.63 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.34/0.63 (step @p65 :rule implies_elim :premises (@p64)) % 0.34/0.63 (step @p66 :rule eq_resolve :premises (@p65 @p56)) % 0.34/0.63 (step @p67 :rule chain_m_resolution :premises (@p66 @p53) :args (@t39 (@list true) (@list @t37))) % 0.34/0.63 (step @p68 :rule cnf_equiv_pos1 :args (@t44)) % 0.34/0.63 (step @p69 :rule reordering :premises (@p68) :args ((or @t41 @t43 (not @t44)))) % 0.34/0.63 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p51) :args (@t43 (@list false false) (@list @t39 @t44))) % 0.34/0.63 (step @p71 :rule not_implies_elim2 :premises (@p52)) % 0.34/0.63 (step @p72 :rule skolemize :premises (@p71)) % 0.34/0.63 (step @p73 :rule cnf_equiv_pos2 :args (@t46)) % 0.34/0.63 (step @p74 :rule reordering :premises (@p73) :args ((or @t45 (not @t43) @t47))) % 0.34/0.63 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p70) :args (@t47 @t48 (@list @t45 @t43))) % 0.34/0.63 (assume-push @p84 @t49) % 0.34/0.63 (step @p77 :rule instantiate :premises (@p49) :args ((@list @t36 @t38))) % 0.34/0.63 (step-pop @p85 :rule scope :premises (@p77)) % 0.34/0.63 (step @p78 :rule process_scope :premises (@p85) :args (@t46)) % 0.34/0.63 (step @p80 :rule implies_elim :premises (@p78)) % 0.34/0.63 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p49) :args (false @t48 (@list @t46 @t49))) % 0.34/0.63 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------