%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO098^5 : 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 : n004.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO098^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:58:52 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t2 () (_ (_ tptp.cQ @t1) @t1)) % 0.38/0.60 (define @t3 () (@list @t1)) % 0.38/0.60 (define @t4 () (forall @t3 @t2)) % 0.38/0.60 (define @t5 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t7 () (_ (_ tptp.cQ @t6) @t5)) % 0.38/0.60 (define @t8 () (=> @t7 @t4)) % 0.38/0.60 (define @t9 () (_ (_ tptp.cR @t5) @t6)) % 0.38/0.60 (define @t10 () (not @t9)) % 0.38/0.60 (define @t11 () (and @t10 @t8)) % 0.38/0.60 (define @t12 () (@list @t5 @t6)) % 0.38/0.60 (define @t13 () (exists @t12 @t11)) % 0.38/0.60 (define @t14 () (@var "W" $$unsorted)) % 0.38/0.60 (define @t15 () (_ (_ tptp.cR @t14) @t14)) % 0.38/0.60 (define @t16 () (not @t15)) % 0.38/0.60 (define @t17 () (@list @t14)) % 0.38/0.60 (define @t18 () (forall @t17 @t16)) % 0.38/0.60 (define @t19 () (=> @t18 @t13)) % 0.38/0.60 (define @t20 () (not @t19)) % 0.38/0.60 (define @t21 () (tptp.cQ @t1 @t1)) % 0.38/0.60 (define @t22 () (forall @t3 @t21)) % 0.38/0.60 (define @t23 () (not @t22)) % 0.38/0.60 (define @t24 () (tptp.cQ @t6 @t5)) % 0.38/0.60 (define @t25 () (and @t7 @t23)) % 0.38/0.60 (define @t26 () (tptp.cR @t5 @t6)) % 0.38/0.60 (define @t27 () (or @t9 @t25)) % 0.38/0.60 (define @t28 () (=> @t7 @t22)) % 0.38/0.60 (define @t29 () (not @t28)) % 0.38/0.60 (define @t30 () (and @t10 @t28)) % 0.38/0.60 (define @t31 () (forall @t12 (not @t30))) % 0.38/0.60 (define @t32 () (not @t31)) % 0.38/0.60 (define @t33 () (tptp.cR @t14 @t14)) % 0.38/0.60 (define @t34 () (@quantifiers_skolemize @t22 0)) % 0.38/0.60 (define @t35 () (@const 0 $$unsorted)) % 0.38/0.60 (define @t36 () (and (tptp.cQ @t35 @t35) @t23)) % 0.38/0.60 (define @t37 () (tptp.cR @t35 @t35)) % 0.38/0.60 (define @t38 () (or @t37 @t36)) % 0.38/0.60 (define @t39 () (@list true false)) % 0.38/0.60 (define @t40 () (tptp.cQ @t34 @t34)) % 0.38/0.60 (define @t41 () (and @t40 @t23)) % 0.38/0.60 (define @t42 () (not @t41)) % 0.38/0.60 (define @t43 () (tptp.cR @t34 @t34)) % 0.38/0.60 (define @t44 () (or @t43 @t41)) % 0.38/0.60 (define @t45 () (forall @t17 (not @t33))) % 0.38/0.60 (assume @p1 @t20) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule refl :args (@t23)) % 0.38/0.60 (step @p4 :rule refl :args (@t24)) % 0.38/0.60 (step @p5 :rule refl :args (@t7)) % 0.38/0.60 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t7 @t24))) % 0.38/0.60 (step @p7 :rule symm :premises (@p6)) % 0.38/0.60 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.38/0.60 (step @p9 :rule nary_cong :premises (@p8 @p3) :args (@t25)) % 0.38/0.60 (step @p10 :rule refl :args (@t26)) % 0.38/0.60 (step @p11 :rule refl :args (@t9)) % 0.38/0.60 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t9 @t26))) % 0.38/0.60 (step @p13 :rule symm :premises (@p12)) % 0.38/0.60 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.38/0.60 (step @p15 :rule nary_cong :premises (@p14 @p9) :args (@t27)) % 0.38/0.60 (step @p16 :rule cong :premises (@p15) :args ((forall @t12 @t27))) % 0.38/0.60 (step @p17 :rule bool-implies-de-morgan :args (@t7 @t22)) % 0.38/0.60 (step @p18 :rule nary_cong :premises (@p11 @p17) :args ((or @t9 @t29))) % 0.38/0.60 (step @p19 :rule refl :args (@t29)) % 0.38/0.60 (step @p20 :rule bool-double-not-elim :args (@t9)) % 0.38/0.60 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t10) @t29))) % 0.38/0.60 (step @p22 :rule bool-and-de-morgan :args (@t10 @t28 true)) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.60 (step @p24 :rule trans :premises (@p23 @p18)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 0.38/0.60 (step @p26 :rule trans :premises (@p25 @p16)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.38/0.60 (step @p28 :rule exists-elim :args ((= (exists @t12 @t30) @t32))) % 0.38/0.60 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.60 (step @p30 :rule refl :args (@t21)) % 0.38/0.60 (step @p31 :rule refl :args (@t2)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t2 @t21))) % 0.38/0.60 (step @p33 :rule symm :premises (@p32)) % 0.38/0.60 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args (@t4)) % 0.38/0.60 (step @p36 :rule refl :args (@t7)) % 0.38/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args (@t8)) % 0.38/0.60 (step @p38 :rule refl :args (@t10)) % 0.38/0.60 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t11)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39) :args (@t13)) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p29)) % 0.38/0.60 (step @p42 :rule refl :args (@t33)) % 0.38/0.60 (step @p43 :rule refl :args (@t15)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t15 @t33))) % 0.38/0.60 (step @p45 :rule symm :premises (@p44)) % 0.38/0.60 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.60 (step @p47 :rule cong :premises (@p46) :args (@t16)) % 0.38/0.60 (step @p48 :rule cong :premises (@p47) :args (@t18)) % 0.38/0.60 (step @p49 :rule cong :premises (@p48 @p41) :args (@t19)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args (@t20)) % 0.38/0.60 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.38/0.60 (step @p52 :rule not_implies_elim1 :premises (@p51)) % 0.38/0.60 (step @p53 :rule not_implies_elim2 :premises (@p51)) % 0.38/0.60 (step @p54 :rule not_not_elim :premises (@p53)) % 0.38/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t34 @t34))) % 0.38/0.60 (step @p56 :rule instantiate :premises (@p54) :args ((@list @t35 @t35))) % 0.38/0.60 (step @p57 :rule instantiate :premises (@p52) :args ((@list @t35))) % 0.38/0.60 (step @p58 :rule cnf_or_pos :args (@t38)) % 0.38/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t37 @t36 (not @t38)))) % 0.38/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t36 @t39 (@list @t37 @t38))) % 0.38/0.60 (step @p61 :rule cnf_and_pos :args (@t36 1)) % 0.38/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t23 (not @t36)))) % 0.38/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t23 (@list false) (@list @t36))) % 0.38/0.60 (step @p64 :rule skolemize :premises (@p63)) % 0.38/0.60 (step @p65 :rule cnf_and_pos :args (@t41 0)) % 0.38/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t40 @t42))) % 0.38/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t42 (@list true) (@list @t40))) % 0.38/0.60 (step @p68 :rule cnf_or_pos :args (@t44)) % 0.38/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t43 @t41 (not @t44)))) % 0.38/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p55) :args (@t43 @t39 (@list @t41 @t44))) % 0.38/0.60 (assume-push @p77 @t45) % 0.38/0.60 (step @p72 :rule instantiate :premises (@p52) :args ((@list @t34))) % 0.38/0.60 (step-pop @p78 :rule scope :premises (@p72)) % 0.38/0.60 (step @p73 :rule process_scope :premises (@p78) :args ((not @t43))) % 0.38/0.60 (step @p75 :rule implies_elim :premises (@p73)) % 0.38/0.60 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p52) :args (false (@list false false) (@list @t43 @t45))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------