%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO353^5 : 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 : n026.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 09:12:28 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO353^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:05:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.37/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort tptp.a 0) % 0.37/0.55 (declare-const tptp.u tptp.a) % 0.37/0.55 (declare-const tptp.v tptp.a) % 0.37/0.55 (define @t1 () (@var "Q" (-> tptp.a tptp.a Bool))) % 0.37/0.55 (define @t2 () (_ (_ @t1 tptp.u) tptp.v)) % 0.37/0.55 (define @t3 () (@var "Z" tptp.a)) % 0.37/0.55 (define @t4 () (_ (_ @t1 @t3) @t3)) % 0.37/0.55 (define @t5 () (@list @t3)) % 0.37/0.55 (define @t6 () (forall @t5 @t4)) % 0.37/0.55 (define @t7 () (=> @t6 @t2)) % 0.37/0.55 (define @t8 () (@list @t1)) % 0.37/0.55 (define @t9 () (forall @t8 @t7)) % 0.37/0.55 (define @t10 () (@var "Xq" (-> tptp.a Bool))) % 0.37/0.55 (define @t11 () (_ @t10 tptp.v)) % 0.37/0.55 (define @t12 () (_ @t10 tptp.u)) % 0.37/0.55 (define @t13 () (@list @t10)) % 0.37/0.55 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.37/0.55 (define @t15 () (=> @t14 @t9)) % 0.37/0.55 (define @t16 () (not @t15)) % 0.37/0.55 (define @t17 () (_ @t1 tptp.u tptp.v)) % 0.37/0.55 (define @t18 () (_ @t1 @t3 @t3)) % 0.37/0.55 (define @t19 () (forall @t5 @t18)) % 0.37/0.55 (define @t20 () (not @t19)) % 0.37/0.55 (define @t21 () (or @t20 @t2)) % 0.37/0.55 (define @t22 () (_ @t10 tptp.v)) % 0.37/0.55 (define @t23 () (_ @t10 tptp.u)) % 0.37/0.55 (define @t24 () (not @t12)) % 0.37/0.55 (define @t25 () (or @t24 @t11)) % 0.37/0.55 (define @t26 () (@quantifiers_skolemize (forall @t8 (or @t20 @t17)) 0)) % 0.37/0.55 (define @t27 () (forall @t5 (_ @t26 @t3 @t3))) % 0.37/0.55 (define @t28 () (_ @t26 tptp.u tptp.v)) % 0.37/0.55 (define @t29 () (not @t27)) % 0.37/0.55 (define @t30 () (or @t29 @t28)) % 0.37/0.55 (define @t31 () (@list true)) % 0.37/0.55 (define @t32 () (@list @t30)) % 0.37/0.55 (define @t33 () (_ @t26 tptp.u)) % 0.37/0.55 (define @t34 () (_ @t33 tptp.v)) % 0.37/0.55 (define @t35 () (_ @t26 tptp.u tptp.u)) % 0.37/0.55 (define @t36 () (_ @t33 tptp.u)) % 0.37/0.55 (define @t37 () (not @t36)) % 0.37/0.55 (define @t38 () (or @t37 @t34)) % 0.37/0.55 (define @t39 () (forall @t13 (or (not @t23) @t22))) % 0.37/0.55 (define @t40 () (_ @t33 tptp.v)) % 0.37/0.55 (define @t41 () (_ @t33 tptp.u)) % 0.37/0.55 (define @t42 () (not @t41)) % 0.37/0.55 (define @t43 () (or @t42 @t40)) % 0.37/0.55 (define @t44 () (not @t35)) % 0.37/0.55 (define @t45 () (or @t44 @t28)) % 0.37/0.55 (define @t46 () (@list true false)) % 0.37/0.55 (assume @p1 @t16) % 0.37/0.55 (assume @p2 true) % 0.37/0.55 (step @p3 :rule refl :args (@t17)) % 0.37/0.55 (step @p4 :rule refl :args (@t2)) % 0.37/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t17))) % 0.37/0.55 (step @p6 :rule symm :premises (@p5)) % 0.37/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.55 (step @p8 :rule refl :args (@t20)) % 0.37/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t21)) % 0.37/0.55 (step @p10 :rule cong :premises (@p9) :args ((forall @t8 @t21))) % 0.37/0.55 (step @p11 :rule bool-impl-elim :args (@t19 @t2)) % 0.37/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t8 (=> @t19 @t2)))) % 0.37/0.55 (step @p13 :rule trans :premises (@p12 @p10)) % 0.37/0.55 (step @p14 :rule refl :args (@t2)) % 0.37/0.55 (step @p15 :rule refl :args (@t18)) % 0.37/0.55 (step @p16 :rule refl :args (@t4)) % 0.37/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t4 @t18))) % 0.37/0.55 (step @p18 :rule symm :premises (@p17)) % 0.37/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.55 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 0.37/0.55 (step @p21 :rule cong :premises (@p20 @p14) :args (@t7)) % 0.37/0.55 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 0.37/0.55 (step @p23 :rule trans :premises (@p22 @p13)) % 0.37/0.55 (step @p24 :rule refl :args (@t22)) % 0.37/0.55 (step @p25 :rule refl :args (@t11)) % 0.37/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t11 @t22))) % 0.37/0.55 (step @p27 :rule symm :premises (@p26)) % 0.37/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.37/0.55 (step @p29 :rule refl :args (@t23)) % 0.37/0.55 (step @p30 :rule refl :args (@t12)) % 0.37/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t12 @t23))) % 0.37/0.55 (step @p32 :rule symm :premises (@p31)) % 0.37/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.55 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 0.37/0.55 (step @p35 :rule nary_cong :premises (@p34 @p28) :args (@t25)) % 0.37/0.55 (step @p36 :rule cong :premises (@p35) :args ((forall @t13 @t25))) % 0.37/0.55 (step @p37 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.55 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 0.37/0.55 (step @p39 :rule trans :premises (@p38 @p36)) % 0.37/0.55 (step @p40 :rule cong :premises (@p39 @p23) :args (@t15)) % 0.37/0.55 (step @p41 :rule cong :premises (@p40) :args (@t16)) % 0.37/0.55 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.37/0.55 (step @p43 :rule not_implies_elim2 :premises (@p42)) % 0.37/0.55 (step @p44 :rule skolemize :premises (@p43)) % 0.37/0.55 (step @p45 :rule bool-double-not-elim :args (@t27)) % 0.37/0.55 (step @p46 :rule refl :args (@t30)) % 0.37/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t30 (not @t29)))) % 0.37/0.56 (step @p48 :rule cnf_or_neg :args (@t30 0)) % 0.37/0.56 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.37/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t27 @t30))) % 0.37/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t27 @t31 @t32)) % 0.37/0.56 (step @p52 :rule not_implies_elim1 :premises (@p42)) % 0.37/0.56 (step @p53 :rule refl :args (@t28)) % 0.37/0.56 (step @p54 :rule refl :args (@t34)) % 0.37/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t34 @t28))) % 0.37/0.56 (step @p56 :rule symm :premises (@p55)) % 0.37/0.56 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.37/0.56 (step @p58 :rule refl :args (@t35)) % 0.37/0.56 (step @p59 :rule refl :args (@t36)) % 0.37/0.56 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t36 @t35))) % 0.37/0.56 (step @p61 :rule symm :premises (@p60)) % 0.37/0.56 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.37/0.56 (step @p63 :rule cong :premises (@p62) :args (@t37)) % 0.37/0.56 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t38)) % 0.37/0.56 (step @p65 :rule refl :args (@t39)) % 0.37/0.56 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t39 @t38))) % 0.37/0.56 (step @p67 :rule refl :args (@t40)) % 0.37/0.56 (step @p68 :rule refl :args (@t41)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68) :args (@t42)) % 0.37/0.56 (step @p70 :rule nary_cong :premises (@p69 @p67) :args (@t43)) % 0.37/0.56 (step @p71 :rule cong :premises (@p65 @p70) :args ((=> @t39 @t43))) % 0.37/0.56 (assume-push @p91 @t39) % 0.37/0.56 (step @p73 :rule instantiate :premises (@p52) :args ((@list @t33))) % 0.37/0.56 (step-pop @p92 :rule scope :premises (@p73)) % 0.37/0.56 (step @p74 :rule process_scope :premises (@p92) :args (@t43)) % 0.37/0.56 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.37/0.56 (step @p77 :rule eq_resolve :premises (@p76 @p66)) % 0.37/0.56 (step @p78 :rule implies_elim :premises (@p77)) % 0.37/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p52) :args (@t45 (@list false) (@list @t39))) % 0.37/0.56 (step @p80 :rule cnf_or_neg :args (@t30 1)) % 0.37/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p44) :args ((not @t28) @t31 @t32)) % 0.37/0.56 (step @p82 :rule cnf_or_pos :args (@t45)) % 0.37/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t28 @t44 (not @t45)))) % 0.37/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p79) :args (@t44 @t46 (@list @t28 @t45))) % 0.37/0.56 (assume-push @p93 @t27) % 0.37/0.56 (step @p86 :rule instantiate :premises (@p51) :args ((@list tptp.u))) % 0.37/0.56 (step-pop @p94 :rule scope :premises (@p86)) % 0.37/0.56 (step @p87 :rule process_scope :premises (@p94) :args (@t35)) % 0.37/0.56 (step @p89 :rule implies_elim :premises (@p87)) % 0.37/0.56 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p51) :args (false @t46 (@list @t35 @t27))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------