%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO102^5 : 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 09:12:02 AM UTC 2026 % Result : Theorem 0.40s 0.63s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO102^5 : 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 : n015.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 23:59:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.40/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.63 % SZS status Theorem % 0.40/0.63 % SZS output start Proof % 0.40/0.63 ( % 0.40/0.63 (declare-sort $$unsorted 0) % 0.40/0.63 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (define @t1 () (@var "Xw" $$unsorted)) % 0.40/0.63 (define @t2 () (@var "Xu" $$unsorted)) % 0.40/0.63 (define @t3 () (_ tptp.cP @t2)) % 0.40/0.63 (define @t4 () (_ @t3 @t1)) % 0.40/0.63 (define @t5 () (@var "Xv" $$unsorted)) % 0.40/0.63 (define @t6 () (_ (_ tptp.cP @t5) @t1)) % 0.40/0.63 (define @t7 () (_ @t3 @t5)) % 0.40/0.63 (define @t8 () (and @t7 @t6)) % 0.40/0.63 (define @t9 () (@list @t2 @t5 @t1)) % 0.40/0.63 (define @t10 () (forall @t9 (=> @t8 @t4))) % 0.40/0.63 (define @t11 () (@var "Xz" $$unsorted)) % 0.40/0.63 (define @t12 () (@var "Xx" $$unsorted)) % 0.40/0.63 (define @t13 () (_ tptp.cP @t12)) % 0.40/0.63 (define @t14 () (_ @t13 @t11)) % 0.40/0.63 (define @t15 () (@var "Xy" $$unsorted)) % 0.40/0.63 (define @t16 () (_ (_ tptp.cP @t11) @t15)) % 0.40/0.63 (define @t17 () (_ @t13 @t15)) % 0.40/0.63 (define @t18 () (and @t17 @t16)) % 0.40/0.63 (define @t19 () (@list @t12 @t15 @t11)) % 0.40/0.63 (define @t20 () (forall @t19 (=> @t18 @t14))) % 0.40/0.63 (define @t21 () (_ @t13 @t12)) % 0.40/0.63 (define @t22 () (forall (@list @t12) @t21)) % 0.40/0.63 (define @t23 () (and @t22 @t20)) % 0.40/0.63 (define @t24 () (=> @t23 @t10)) % 0.40/0.63 (define @t25 () (not @t24)) % 0.40/0.63 (define @t26 () (tptp.cP @t2 @t1)) % 0.40/0.63 (define @t27 () (tptp.cP @t5 @t1)) % 0.40/0.63 (define @t28 () (not @t6)) % 0.40/0.63 (define @t29 () (tptp.cP @t2 @t5)) % 0.40/0.63 (define @t30 () (not @t7)) % 0.40/0.63 (define @t31 () (or @t30 @t28 @t4)) % 0.40/0.63 (define @t32 () (tptp.cP @t12 @t11)) % 0.40/0.63 (define @t33 () (tptp.cP @t11 @t15)) % 0.40/0.63 (define @t34 () (not @t16)) % 0.40/0.63 (define @t35 () (tptp.cP @t12 @t15)) % 0.40/0.63 (define @t36 () (not @t17)) % 0.40/0.63 (define @t37 () (or @t36 @t34 @t14)) % 0.40/0.63 (define @t38 () (tptp.cP @t12 @t12)) % 0.40/0.63 (define @t39 () (forall @t9 (or (not @t29) (not @t27) @t26))) % 0.40/0.63 (define @t40 () (@quantifiers_skolemize @t39 2)) % 0.40/0.63 (define @t41 () (@quantifiers_skolemize @t39 1)) % 0.40/0.63 (define @t42 () (@quantifiers_skolemize @t39 0)) % 0.40/0.63 (define @t43 () (tptp.cP @t42 @t40)) % 0.40/0.63 (define @t44 () (tptp.cP @t41 @t40)) % 0.40/0.63 (define @t45 () (not @t44)) % 0.40/0.63 (define @t46 () (tptp.cP @t42 @t41)) % 0.40/0.63 (define @t47 () (not @t46)) % 0.40/0.63 (define @t48 () (or @t47 @t45 @t43)) % 0.40/0.63 (define @t49 () (@list true)) % 0.40/0.63 (define @t50 () (@list @t48)) % 0.40/0.63 (define @t51 () (tptp.cP @t40 @t41)) % 0.40/0.63 (define @t52 () (not @t51)) % 0.40/0.63 (define @t53 () (or @t47 @t52 @t43)) % 0.40/0.63 (define @t54 () (@list false true false)) % 0.40/0.63 (define @t55 () (tptp.cP @t40 @t40)) % 0.40/0.63 (define @t56 () (not @t55)) % 0.40/0.63 (define @t57 () (or @t56 @t45 @t51)) % 0.40/0.63 (define @t58 () (not @t57)) % 0.40/0.63 (define @t59 () (forall @t19 (or (not @t35) (not @t33) @t32))) % 0.40/0.63 (assume @p1 @t25) % 0.40/0.63 (assume @p2 true) % 0.40/0.63 (step @p3 :rule refl :args (@t26)) % 0.40/0.63 (step @p4 :rule refl :args (@t4)) % 0.40/0.63 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t26))) % 0.40/0.63 (step @p6 :rule symm :premises (@p5)) % 0.40/0.63 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.40/0.63 (step @p8 :rule refl :args (@t27)) % 0.40/0.63 (step @p9 :rule refl :args (@t6)) % 0.40/0.63 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t6 @t27))) % 0.40/0.63 (step @p11 :rule symm :premises (@p10)) % 0.40/0.63 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.40/0.63 (step @p13 :rule cong :premises (@p12) :args (@t28)) % 0.40/0.63 (step @p14 :rule refl :args (@t29)) % 0.40/0.63 (step @p15 :rule refl :args (@t7)) % 0.40/0.63 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t7 @t29))) % 0.40/0.63 (step @p17 :rule symm :premises (@p16)) % 0.40/0.63 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.40/0.63 (step @p19 :rule cong :premises (@p18) :args (@t30)) % 0.40/0.63 (step @p20 :rule nary_cong :premises (@p19 @p13 @p7) :args (@t31)) % 0.40/0.63 (step @p21 :rule cong :premises (@p20) :args ((forall @t9 @t31))) % 0.40/0.63 (step @p22 :rule aci_norm :args ((= (or (or @t30 @t28) @t4) @t31))) % 0.40/0.63 (step @p23 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.40/0.63 (step @p24 :rule nary_cong :premises (@p23 @p4) :args ((or (not @t8) @t4))) % 0.40/0.63 (step @p25 :rule trans :premises (@p24 @p22)) % 0.40/0.63 (step @p26 :rule bool-impl-elim :args (@t8 @t4)) % 0.40/0.63 (step @p27 :rule trans :premises (@p26 @p25)) % 0.40/0.63 (step @p28 :rule cong :premises (@p27) :args (@t10)) % 0.40/0.63 (step @p29 :rule trans :premises (@p28 @p21)) % 0.40/0.63 (step @p30 :rule refl :args (@t32)) % 0.40/0.63 (step @p31 :rule refl :args (@t14)) % 0.40/0.63 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t14 @t32))) % 0.40/0.63 (step @p33 :rule symm :premises (@p32)) % 0.40/0.63 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.40/0.63 (step @p35 :rule refl :args (@t33)) % 0.40/0.63 (step @p36 :rule refl :args (@t16)) % 0.40/0.63 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t16 @t33))) % 0.40/0.63 (step @p38 :rule symm :premises (@p37)) % 0.40/0.63 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.40/0.63 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.40/0.63 (step @p41 :rule refl :args (@t35)) % 0.40/0.63 (step @p42 :rule refl :args (@t17)) % 0.40/0.63 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t17 @t35))) % 0.40/0.63 (step @p44 :rule symm :premises (@p43)) % 0.40/0.63 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.40/0.63 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 0.40/0.63 (step @p47 :rule nary_cong :premises (@p46 @p40 @p34) :args (@t37)) % 0.40/0.63 (step @p48 :rule cong :premises (@p47) :args ((forall @t19 @t37))) % 0.40/0.63 (step @p49 :rule aci_norm :args ((= (or (or @t36 @t34) @t14) @t37))) % 0.40/0.63 (step @p50 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.40/0.63 (step @p51 :rule nary_cong :premises (@p50 @p31) :args ((or (not @t18) @t14))) % 0.40/0.63 (step @p52 :rule trans :premises (@p51 @p49)) % 0.40/0.63 (step @p53 :rule bool-impl-elim :args (@t18 @t14)) % 0.40/0.63 (step @p54 :rule trans :premises (@p53 @p52)) % 0.40/0.63 (step @p55 :rule cong :premises (@p54) :args (@t20)) % 0.40/0.63 (step @p56 :rule trans :premises (@p55 @p48)) % 0.40/0.63 (step @p57 :rule refl :args (@t38)) % 0.40/0.63 (step @p58 :rule refl :args (@t21)) % 0.40/0.63 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t21 @t38))) % 0.40/0.63 (step @p60 :rule symm :premises (@p59)) % 0.40/0.63 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.40/0.63 (step @p62 :rule cong :premises (@p61) :args (@t22)) % 0.40/0.63 (step @p63 :rule nary_cong :premises (@p62 @p56) :args (@t23)) % 0.40/0.63 (step @p64 :rule cong :premises (@p63 @p29) :args (@t24)) % 0.40/0.63 (step @p65 :rule cong :premises (@p64) :args (@t25)) % 0.40/0.63 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.40/0.63 (step @p67 :rule not_implies_elim1 :premises (@p66)) % 0.40/0.63 (step @p68 :rule and_elim :premises (@p67) :args (1)) % 0.40/0.63 (step @p69 :rule and_elim :premises (@p67) :args (0)) % 0.40/0.63 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t40))) % 0.40/0.63 (step @p71 :rule instantiate :premises (@p68) :args ((@list @t42 @t41 @t40))) % 0.40/0.63 (step @p72 :rule not_implies_elim2 :premises (@p66)) % 0.40/0.63 (step @p73 :rule skolemize :premises (@p72)) % 0.40/0.63 (step @p74 :rule cnf_or_neg :args (@t48 2)) % 0.40/0.63 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args ((not @t43) @t49 @t50)) % 0.40/0.63 (step @p76 :rule bool-double-not-elim :args (@t46)) % 0.40/0.63 (step @p77 :rule refl :args (@t48)) % 0.40/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t48 (not @t47)))) % 0.40/0.63 (step @p79 :rule cnf_or_neg :args (@t48 0)) % 0.40/0.63 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.40/0.63 (step @p81 :rule reordering :premises (@p80) :args ((or @t46 @t48))) % 0.40/0.63 (step @p82 :rule chain_m_resolution :premises (@p81 @p73) :args (@t46 @t49 @t50)) % 0.40/0.63 (step @p83 :rule cnf_or_pos :args (@t53)) % 0.40/0.63 (step @p84 :rule reordering :premises (@p83) :args ((or @t47 @t43 @t52 (not @t53)))) % 0.40/0.63 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p75 @p71) :args (@t52 @t54 (@list @t46 @t43 @t53))) % 0.40/0.63 (step @p86 :rule bool-double-not-elim :args (@t44)) % 0.40/0.63 (step @p87 :rule nary_cong :premises (@p77 @p86) :args ((or @t48 (not @t45)))) % 0.40/0.63 (step @p88 :rule cnf_or_neg :args (@t48 1)) % 0.40/0.63 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.40/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t44 @t48))) % 0.40/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p73) :args (@t44 @t49 @t50)) % 0.40/0.63 (step @p92 :rule cnf_or_pos :args (@t57)) % 0.40/0.63 (step @p93 :rule reordering :premises (@p92) :args ((or @t45 @t51 @t56 @t58))) % 0.40/0.63 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85 @p70) :args (@t58 @t54 (@list @t44 @t51 @t55))) % 0.40/0.63 (assume-push @p101 @t59) % 0.40/0.63 (step @p96 :rule instantiate :premises (@p68) :args ((@list @t40 @t40 @t41))) % 0.40/0.63 (step-pop @p102 :rule scope :premises (@p96)) % 0.40/0.63 (step @p97 :rule process_scope :premises (@p102) :args (@t57)) % 0.40/0.63 (step @p99 :rule implies_elim :premises (@p97)) % 0.40/0.63 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p68) :args (false (@list true false) (@list @t57 @t59))) % 0.40/0.63 ) % 0.40/0.63 % SZS output end Proof % 0.40/0.63 % cvc5 exiting %------------------------------------------------------------------------------