%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO373^5 : 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 : n011.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 09:12:31 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO373^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n011.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 00:05:35 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort tptp.b 0) % 0.40/0.56 (declare-const tptp.f (-> tptp.b Bool)) % 0.40/0.56 (declare-const tptp.g (-> tptp.b Bool)) % 0.40/0.56 (define @t1 () (@var "Xq" (-> (-> tptp.b Bool) Bool))) % 0.40/0.56 (define @t2 () (_ @t1 tptp.g)) % 0.40/0.56 (define @t3 () (_ @t1 tptp.f)) % 0.40/0.56 (define @t4 () (@list @t1)) % 0.40/0.56 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.40/0.56 (define @t6 () (@var "Xx" tptp.b)) % 0.40/0.56 (define @t7 () (_ tptp.g @t6)) % 0.40/0.56 (define @t8 () (_ tptp.f @t6)) % 0.40/0.56 (define @t9 () (= @t8 @t7)) % 0.40/0.56 (define @t10 () (@list @t6)) % 0.40/0.56 (define @t11 () (forall @t10 @t9)) % 0.40/0.56 (define @t12 () (=> @t11 @t5)) % 0.40/0.56 (define @t13 () (not @t12)) % 0.40/0.56 (define @t14 () (_ @t1 tptp.g)) % 0.40/0.56 (define @t15 () (_ @t1 tptp.f)) % 0.40/0.56 (define @t16 () (not @t3)) % 0.40/0.56 (define @t17 () (or @t16 @t2)) % 0.40/0.56 (define @t18 () (tptp.g @t6)) % 0.40/0.56 (define @t19 () (tptp.f @t6)) % 0.40/0.56 (define @t20 () (@quantifiers_skolemize (forall @t4 (or (not @t15) @t14)) 0)) % 0.40/0.56 (define @t21 () (_ @t20 tptp.g)) % 0.40/0.56 (define @t22 () (_ @t20 tptp.f)) % 0.40/0.56 (define @t23 () (not @t22)) % 0.40/0.56 (define @t24 () (or @t23 @t21)) % 0.40/0.56 (define @t25 () (not @t21)) % 0.40/0.56 (define @t26 () (@list true)) % 0.40/0.56 (define @t27 () (@list @t24)) % 0.40/0.56 (define @t28 () (= tptp.g tptp.f)) % 0.40/0.56 (define @t29 () (not @t28)) % 0.40/0.56 (define @t30 () (and @t25 @t28 @t22)) % 0.40/0.56 (define @t31 () (@const 0 tptp.b)) % 0.40/0.56 (define @t32 () (tptp.f @t31)) % 0.40/0.56 (define @t33 () (tptp.g @t31)) % 0.40/0.56 (define @t34 () (= @t33 @t32)) % 0.40/0.56 (define @t35 () (not @t34)) % 0.40/0.56 (define @t36 () (forall @t10 (= @t19 @t18))) % 0.40/0.56 (define @t37 () (= @t32 @t33)) % 0.40/0.56 (assume @p1 @t13) % 0.40/0.56 (assume @p2 true) % 0.40/0.56 (step @p3 :rule refl :args (@t14)) % 0.40/0.56 (step @p4 :rule refl :args (@t2)) % 0.40/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t14))) % 0.40/0.56 (step @p6 :rule symm :premises (@p5)) % 0.40/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.40/0.56 (step @p8 :rule refl :args (@t15)) % 0.40/0.56 (step @p9 :rule refl :args (@t3)) % 0.40/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t15))) % 0.40/0.56 (step @p11 :rule symm :premises (@p10)) % 0.40/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.40/0.56 (step @p13 :rule cong :premises (@p12) :args (@t16)) % 0.40/0.56 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t17)) % 0.40/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t17))) % 0.40/0.56 (step @p16 :rule bool-impl-elim :args (@t3 @t2)) % 0.40/0.56 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.40/0.56 (step @p18 :rule trans :premises (@p17 @p15)) % 0.40/0.56 (step @p19 :rule refl :args (@t18)) % 0.40/0.56 (step @p20 :rule refl :args (@t7)) % 0.40/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t7 @t18))) % 0.40/0.56 (step @p22 :rule symm :premises (@p21)) % 0.40/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.40/0.56 (step @p24 :rule refl :args (@t19)) % 0.40/0.56 (step @p25 :rule refl :args (@t8)) % 0.40/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t8 @t19))) % 0.40/0.56 (step @p27 :rule symm :premises (@p26)) % 0.40/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.40/0.56 (step @p29 :rule cong :premises (@p28 @p23) :args (@t9)) % 0.40/0.56 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.40/0.56 (step @p31 :rule cong :premises (@p30 @p18) :args (@t12)) % 0.40/0.56 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 0.40/0.56 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.40/0.56 (step @p34 :rule not_implies_elim1 :premises (@p33)) % 0.40/0.56 (step @p35 :rule not_implies_elim2 :premises (@p33)) % 0.40/0.56 (step @p36 :rule skolemize :premises (@p35)) % 0.40/0.56 (step @p37 :rule cnf_or_neg :args (@t24 1)) % 0.40/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args (@t25 @t26 @t27)) % 0.40/0.56 (step @p39 :rule bool-double-not-elim :args (@t22)) % 0.40/0.56 (step @p40 :rule refl :args (@t24)) % 0.40/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t24 (not @t23)))) % 0.40/0.56 (step @p42 :rule cnf_or_neg :args (@t24 0)) % 0.40/0.56 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.40/0.56 (step @p44 :rule reordering :premises (@p43) :args ((or @t22 @t24))) % 0.40/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args (@t22 @t26 @t27)) % 0.40/0.56 (step @p46 :rule refl :args (@t29)) % 0.40/0.56 (step @p47 :rule bool-double-not-elim :args (@t21)) % 0.40/0.56 (step @p48 :rule refl :args (@t23)) % 0.40/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args ((or @t23 (not @t25) @t29))) % 0.40/0.56 (assume-push @p90 @t25) % 0.40/0.56 (assume-push @p91 @t28) % 0.40/0.56 (assume-push @p92 @t22) % 0.40/0.56 (step @p53 :rule evaluate :args ((= true false))) % 0.40/0.57 (step @p54 :rule false_intro :premises (@p38)) % 0.40/0.57 (step @p55 :rule symm :premises (@p91)) % 0.40/0.57 (step @p56 :rule cong :premises (@p55) :args (@t22)) % 0.40/0.57 (step @p57 :rule true_intro :premises (@p45)) % 0.40/0.57 (step @p58 :rule symm :premises (@p57)) % 0.40/0.57 (step @p59 :rule trans :premises (@p58 @p56 @p54)) % 0.40/0.57 (step @p60 false :rule eq_resolve :premises (@p59 @p53)) % 0.40/0.57 (step-pop @p93 :rule scope :premises (@p60)) % 0.40/0.57 (step-pop @p94 :rule scope :premises (@p93)) % 0.40/0.57 (step-pop @p95 :rule scope :premises (@p94)) % 0.40/0.57 (step @p61 :rule process_scope :premises (@p95) :args (false)) % 0.40/0.57 (assume-push @p96 @t22) % 0.40/0.57 (assume-push @p97 @t25) % 0.40/0.57 (assume-push @p98 @t28) % 0.40/0.57 (step @p68 :rule and_intro :premises (@p38 @p98 @p45)) % 0.40/0.57 (step-pop @p99 :rule scope :premises (@p68)) % 0.40/0.57 (step-pop @p100 :rule scope :premises (@p99)) % 0.40/0.57 (step-pop @p101 :rule scope :premises (@p100)) % 0.40/0.57 (step @p69 :rule process_scope :premises (@p101) :args (@t30)) % 0.40/0.57 (step @p73 :rule implies_elim :premises (@p69)) % 0.40/0.57 (step @p74 :rule resolution :premises (@p73 @p61) :args (true @t30)) % 0.40/0.57 (step @p75 :rule not_and :premises (@p74)) % 0.40/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p49)) % 0.40/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p45 @p38) :args (@t29 (@list false true) (@list @t22 @t21))) % 0.40/0.57 ; WARNING: add trust step for TRUST % 0.40/0.57 ; trust TRUST THEORY_LEMMA % 0.40/0.57 (step @p78 :rule trust :premises () :args ((or @t28 @t35))) % 0.40/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p77) :args (@t35 @t26 (@list @t28))) % 0.40/0.57 (step @p80 :rule eq-symm :args (@t32 @t33)) % 0.40/0.57 (step @p81 :rule refl :args (@t36)) % 0.40/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t36 @t37))) % 0.40/0.57 (assume-push @p102 @t36) % 0.40/0.57 (step @p84 :rule instantiate :premises (@p34) :args ((@list @t31))) % 0.40/0.57 (step-pop @p103 :rule scope :premises (@p84)) % 0.40/0.57 (step @p85 :rule process_scope :premises (@p103) :args (@t37)) % 0.40/0.57 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.40/0.57 (step @p88 :rule implies_elim :premises (@p87)) % 0.40/0.57 (step @p89 false :rule chain_m_resolution :premises (@p88 @p79 @p34) :args (false (@list true false) (@list @t34 @t36))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------