%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO149^5 : 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 09:12:07 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO149^5 : 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 % 0.16/0.35 % Computer : n004.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 23:59:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.a $$unsorted) % 0.36/0.56 (define @t1 () (_ tptp.f tptp.a)) % 0.36/0.56 (define @t2 () (_ tptp.cP @t1)) % 0.36/0.56 (define @t3 () (_ tptp.cP tptp.a)) % 0.36/0.56 (define @t4 () (@var "Xy" $$unsorted)) % 0.36/0.56 (define @t5 () (_ tptp.cP @t4)) % 0.36/0.56 (define @t6 () (_ tptp.cQ @t4)) % 0.36/0.56 (define @t7 () (@list @t4)) % 0.36/0.56 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.36/0.56 (define @t9 () (@var "Xx" $$unsorted)) % 0.36/0.56 (define @t10 () (_ tptp.f @t9)) % 0.36/0.56 (define @t11 () (_ tptp.cQ @t10)) % 0.36/0.56 (define @t12 () (_ tptp.cP @t9)) % 0.36/0.56 (define @t13 () (@list @t9)) % 0.36/0.56 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.36/0.56 (define @t15 () (and @t14 @t8 @t3)) % 0.36/0.56 (define @t16 () (=> @t15 @t2)) % 0.36/0.56 (define @t17 () (not @t16)) % 0.36/0.56 (define @t18 () (tptp.f tptp.a)) % 0.36/0.56 (define @t19 () (tptp.cP @t18)) % 0.36/0.56 (define @t20 () (tptp.cP tptp.a)) % 0.36/0.56 (define @t21 () (tptp.cP @t4)) % 0.36/0.56 (define @t22 () (tptp.cQ @t4)) % 0.36/0.56 (define @t23 () (forall @t7 (or (not @t22) @t21))) % 0.36/0.56 (define @t24 () (tptp.f @t9)) % 0.36/0.56 (define @t25 () (tptp.cQ @t24)) % 0.36/0.56 (define @t26 () (tptp.cP @t9)) % 0.36/0.56 (define @t27 () (forall @t13 (or (not @t26) @t25))) % 0.36/0.56 (define @t28 () (and @t27 @t23 @t3)) % 0.36/0.56 (define @t29 () (=> @t28 @t2)) % 0.36/0.56 (define @t30 () (not @t6)) % 0.36/0.56 (define @t31 () (or @t30 @t5)) % 0.36/0.56 (define @t32 () (not @t12)) % 0.36/0.56 (define @t33 () (or @t32 @t11)) % 0.36/0.56 (define @t34 () (tptp.cQ @t18)) % 0.36/0.56 (define @t35 () (not @t20)) % 0.36/0.56 (define @t36 () (or @t35 @t34)) % 0.36/0.56 (define @t37 () (not @t34)) % 0.36/0.56 (define @t38 () (or @t37 @t19)) % 0.36/0.56 (assume @p1 @t17) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule refl :args ((tptp.cP @t1))) % 0.36/0.56 (step @p4 :rule refl :args (@t18)) % 0.36/0.56 (step @p5 :rule cong :premises (@p4) :args (@t19)) % 0.36/0.56 (step @p6 :rule trans :premises (@p5 @p3)) % 0.36/0.56 (step @p7 :rule refl :args (tptp.cP)) % 0.36/0.56 (step @p8 :rule ho_cong :premises (@p7 @p4)) % 0.36/0.56 (step @p9 :rule cong :premises (@p8 @p6) :args ((= (_ tptp.cP @t18) @t19))) % 0.36/0.56 (step @p10 :rule symm :premises (@p9)) % 0.36/0.56 (step @p11 :rule refl :args (@t2)) % 0.36/0.56 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.36/0.56 (step @p13 :rule refl :args (@t1)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13 @p4) :args ((= @t1 @t18))) % 0.36/0.56 (step @p15 :rule symm :premises (@p14)) % 0.36/0.56 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.36/0.56 (step @p17 :rule refl :args (tptp.cP)) % 0.36/0.56 (step @p18 :rule ho_cong :premises (@p17 @p16)) % 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p12)) % 0.36/0.56 (step @p20 :rule refl :args (@t20)) % 0.36/0.56 (step @p21 :rule refl :args (@t3)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t20))) % 0.36/0.56 (step @p23 :rule symm :premises (@p22)) % 0.36/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.36/0.56 (step @p25 :rule refl :args (@t23)) % 0.36/0.56 (step @p26 :rule refl :args (@t27)) % 0.36/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t28)) % 0.36/0.56 (step @p28 :rule cong :premises (@p27 @p19) :args (@t29)) % 0.36/0.56 (step @p29 :rule cong :premises (@p28) :args ((not @t29))) % 0.36/0.56 (step @p30 :rule refl :args (@t2)) % 0.36/0.56 (step @p31 :rule refl :args (@t3)) % 0.36/0.56 (step @p32 :rule refl :args (@t21)) % 0.36/0.56 (step @p33 :rule refl :args (@t5)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t5 @t21))) % 0.36/0.56 (step @p35 :rule symm :premises (@p34)) % 0.36/0.56 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.36/0.56 (step @p37 :rule refl :args (@t22)) % 0.36/0.56 (step @p38 :rule refl :args (@t6)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t6 @t22))) % 0.36/0.56 (step @p40 :rule symm :premises (@p39)) % 0.36/0.56 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.36/0.56 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t31)) % 0.36/0.56 (step @p44 :rule cong :premises (@p43) :args ((forall @t7 @t31))) % 0.36/0.56 (step @p45 :rule bool-impl-elim :args (@t6 @t5)) % 0.36/0.56 (step @p46 :rule cong :premises (@p45) :args (@t8)) % 0.36/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.36/0.56 (step @p48 :rule refl :args ((tptp.cQ @t10))) % 0.36/0.56 (step @p49 :rule refl :args (@t24)) % 0.36/0.56 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 0.36/0.56 (step @p51 :rule trans :premises (@p50 @p48)) % 0.36/0.56 (step @p52 :rule refl :args (tptp.cQ)) % 0.36/0.56 (step @p53 :rule ho_cong :premises (@p52 @p49)) % 0.36/0.57 (step @p54 :rule cong :premises (@p53 @p51) :args ((= (_ tptp.cQ @t24) @t25))) % 0.36/0.57 (step @p55 :rule symm :premises (@p54)) % 0.36/0.57 (step @p56 :rule refl :args (@t11)) % 0.36/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.36/0.57 (step @p58 :rule refl :args (@t10)) % 0.36/0.57 (step @p59 :rule cong :premises (@p58 @p49) :args ((= @t10 @t24))) % 0.36/0.57 (step @p60 :rule symm :premises (@p59)) % 0.36/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.36/0.57 (step @p62 :rule ho_cong :premises (@p52 @p61)) % 0.36/0.57 (step @p63 :rule trans :premises (@p62 @p57)) % 0.36/0.57 (step @p64 :rule refl :args (@t26)) % 0.36/0.57 (step @p65 :rule refl :args (@t12)) % 0.36/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t12 @t26))) % 0.36/0.57 (step @p67 :rule symm :premises (@p66)) % 0.36/0.57 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.36/0.57 (step @p69 :rule cong :premises (@p68) :args (@t32)) % 0.36/0.57 (step @p70 :rule nary_cong :premises (@p69 @p63) :args (@t33)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t13 @t33))) % 0.36/0.57 (step @p72 :rule bool-impl-elim :args (@t12 @t11)) % 0.36/0.57 (step @p73 :rule cong :premises (@p72) :args (@t14)) % 0.36/0.57 (step @p74 :rule trans :premises (@p73 @p71)) % 0.36/0.57 (step @p75 :rule nary_cong :premises (@p74 @p47 @p31) :args (@t15)) % 0.36/0.57 (step @p76 :rule cong :premises (@p75 @p30) :args (@t16)) % 0.36/0.57 (step @p77 :rule cong :premises (@p76) :args (@t17)) % 0.36/0.57 (step @p78 :rule trans :premises (@p77 @p29)) % 0.36/0.57 (step @p79 :rule eq_resolve :premises (@p1 @p78)) % 0.36/0.57 (step @p80 :rule not_implies_elim2 :premises (@p79)) % 0.36/0.57 (step @p81 :rule not_implies_elim1 :premises (@p79)) % 0.36/0.57 (step @p82 :rule and_elim :premises (@p81) :args (1)) % 0.36/0.57 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t18))) % 0.36/0.57 (step @p84 :rule and_elim :premises (@p81) :args (0)) % 0.36/0.57 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.a))) % 0.36/0.57 (step @p86 :rule and_elim :premises (@p81) :args (2)) % 0.36/0.57 (step @p87 :rule cnf_or_pos :args (@t36)) % 0.36/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t35 @t34 (not @t36)))) % 0.36/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t34 (@list false false) (@list @t20 @t36))) % 0.36/0.57 (step @p90 :rule cnf_or_pos :args (@t38)) % 0.36/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t19 @t37 (not @t38)))) % 0.36/0.57 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p83 @p80) :args (false (@list false false true) (@list @t34 @t38 @t19))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------