%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO359^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:12:29 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO359^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 00:05:23 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort tptp.b 0) % 0.28/0.55 (declare-sort tptp.gtype 0) % 0.28/0.55 (declare-const tptp.f (-> tptp.b Bool)) % 0.28/0.55 (declare-const tptp.h (-> (-> tptp.b Bool) tptp.gtype)) % 0.28/0.55 (declare-const tptp.g (-> tptp.b Bool)) % 0.28/0.55 (define @t1 () (_ tptp.h tptp.g)) % 0.28/0.55 (define @t2 () (_ tptp.h tptp.f)) % 0.28/0.55 (define @t3 () (= @t2 @t1)) % 0.28/0.55 (define @t4 () (@var "Xx" tptp.b)) % 0.28/0.55 (define @t5 () (_ tptp.g @t4)) % 0.28/0.55 (define @t6 () (_ tptp.f @t4)) % 0.28/0.55 (define @t7 () (= @t6 @t5)) % 0.28/0.55 (define @t8 () (@list @t4)) % 0.28/0.55 (define @t9 () (forall @t8 @t7)) % 0.28/0.55 (define @t10 () (=> @t9 @t3)) % 0.28/0.55 (define @t11 () (@var "Xq" (-> (-> tptp.b Bool) Bool))) % 0.28/0.55 (define @t12 () (_ @t11 tptp.g)) % 0.28/0.55 (define @t13 () (_ @t11 tptp.f)) % 0.28/0.55 (define @t14 () (@list @t11)) % 0.28/0.55 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.28/0.55 (define @t16 () (=> @t9 @t15)) % 0.28/0.55 (define @t17 () (=> @t16 @t10)) % 0.28/0.55 (define @t18 () (not @t17)) % 0.28/0.55 (define @t19 () (tptp.h tptp.f)) % 0.28/0.55 (define @t20 () (tptp.h tptp.g)) % 0.28/0.55 (define @t21 () (tptp.g @t4)) % 0.28/0.55 (define @t22 () (tptp.f @t4)) % 0.28/0.55 (define @t23 () (forall @t8 (= @t22 @t21))) % 0.28/0.55 (define @t24 () (=> @t23 @t3)) % 0.28/0.55 (define @t25 () (_ @t11 tptp.g)) % 0.28/0.55 (define @t26 () (_ @t11 tptp.f)) % 0.28/0.55 (define @t27 () (=> @t23 (forall @t14 (or (not @t26) @t25)))) % 0.28/0.55 (define @t28 () (=> @t27 @t24)) % 0.28/0.55 (define @t29 () (not @t13)) % 0.28/0.55 (define @t30 () (or @t29 @t12)) % 0.28/0.55 (define @t31 () (= tptp.g tptp.f)) % 0.28/0.55 (define @t32 () (= @t20 @t19)) % 0.28/0.55 (define @t33 () (not @t31)) % 0.28/0.55 (define @t34 () (@list true)) % 0.28/0.55 (define @t35 () (@const 0 tptp.b)) % 0.28/0.55 (define @t36 () (tptp.f @t35)) % 0.28/0.55 (define @t37 () (tptp.g @t35)) % 0.28/0.55 (define @t38 () (= @t37 @t36)) % 0.28/0.55 (define @t39 () (not @t38)) % 0.28/0.55 (define @t40 () (= @t36 @t37)) % 0.28/0.55 (assume @p1 @t18) % 0.28/0.55 (assume @p2 true) % 0.28/0.55 (step @p3 :rule eq-symm :args (@t19 @t20)) % 0.28/0.55 (step @p4 :rule refl :args (@t20)) % 0.28/0.55 (step @p5 :rule refl :args (@t1)) % 0.28/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t1 @t20))) % 0.28/0.55 (step @p7 :rule symm :premises (@p6)) % 0.28/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.28/0.55 (step @p9 :rule refl :args (@t19)) % 0.28/0.55 (step @p10 :rule refl :args (@t2)) % 0.28/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t19))) % 0.28/0.55 (step @p12 :rule symm :premises (@p11)) % 0.28/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.28/0.55 (step @p14 :rule cong :premises (@p13 @p8) :args (@t3)) % 0.28/0.55 (step @p15 :rule trans :premises (@p14 @p3)) % 0.28/0.55 (step @p16 :rule refl :args (@t23)) % 0.28/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args (@t24)) % 0.28/0.55 (step @p18 :rule refl :args (@t27)) % 0.28/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args (@t28)) % 0.28/0.55 (step @p20 :rule cong :premises (@p19) :args ((not @t28))) % 0.28/0.55 (step @p21 :rule refl :args (@t3)) % 0.28/0.55 (step @p22 :rule refl :args (@t21)) % 0.28/0.55 (step @p23 :rule refl :args (@t5)) % 0.28/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t5 @t21))) % 0.28/0.55 (step @p25 :rule symm :premises (@p24)) % 0.28/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.28/0.55 (step @p27 :rule refl :args (@t22)) % 0.28/0.55 (step @p28 :rule refl :args (@t6)) % 0.28/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t6 @t22))) % 0.28/0.55 (step @p30 :rule symm :premises (@p29)) % 0.28/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.28/0.55 (step @p32 :rule cong :premises (@p31 @p26) :args (@t7)) % 0.28/0.55 (step @p33 :rule cong :premises (@p32) :args (@t9)) % 0.28/0.55 (step @p34 :rule cong :premises (@p33 @p21) :args (@t10)) % 0.28/0.55 (step @p35 :rule refl :args (@t25)) % 0.28/0.55 (step @p36 :rule refl :args (@t12)) % 0.28/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t12 @t25))) % 0.28/0.55 (step @p38 :rule symm :premises (@p37)) % 0.28/0.55 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.28/0.55 (step @p40 :rule refl :args (@t26)) % 0.28/0.55 (step @p41 :rule refl :args (@t13)) % 0.28/0.55 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t13 @t26))) % 0.28/0.55 (step @p43 :rule symm :premises (@p42)) % 0.28/0.55 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.28/0.55 (step @p45 :rule cong :premises (@p44) :args (@t29)) % 0.28/0.55 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t30)) % 0.28/0.55 (step @p47 :rule cong :premises (@p46) :args ((forall @t14 @t30))) % 0.28/0.55 (step @p48 :rule bool-impl-elim :args (@t13 @t12)) % 0.28/0.55 (step @p49 :rule cong :premises (@p48) :args (@t15)) % 0.28/0.55 (step @p50 :rule trans :premises (@p49 @p47)) % 0.28/0.55 (step @p51 :rule cong :premises (@p33 @p50) :args (@t16)) % 0.28/0.55 (step @p52 :rule cong :premises (@p51 @p34) :args (@t17)) % 0.28/0.55 (step @p53 :rule cong :premises (@p52) :args (@t18)) % 0.28/0.55 (step @p54 :rule trans :premises (@p53 @p20)) % 0.28/0.55 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.28/0.55 (step @p56 :rule not_implies_elim2 :premises (@p55)) % 0.28/0.55 (step @p57 :rule not_implies_elim1 :premises (@p56)) % 0.28/0.55 (step @p58 :rule not_implies_elim2 :premises (@p56)) % 0.28/0.55 (assume-push @p81 @t31) % 0.28/0.55 (assume-push @p82 @t31) % 0.28/0.55 (step @p61 :rule cong :premises (@p81) :args (@t20)) % 0.28/0.55 (step-pop @p83 :rule scope :premises (@p61)) % 0.28/0.55 (step @p62 :rule process_scope :premises (@p83) :args (@t32)) % 0.28/0.55 (step @p64 :rule modus_ponens :premises (@p81 @p62)) % 0.28/0.55 (step-pop @p84 :rule scope :premises (@p64)) % 0.28/0.55 (step @p65 :rule process_scope :premises (@p84) :args (@t32)) % 0.28/0.55 (step @p67 :rule implies_elim :premises (@p65)) % 0.28/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t32 @t33))) % 0.28/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p58) :args (@t33 @t34 (@list @t32))) % 0.28/0.55 ; WARNING: add trust step for TRUST % 0.28/0.55 ; trust TRUST THEORY_LEMMA % 0.28/0.55 (step @p70 :rule trust :premises () :args ((or @t31 @t39))) % 0.28/0.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args (@t39 @t34 (@list @t31))) % 0.28/0.55 (step @p72 :rule eq-symm :args (@t36 @t37)) % 0.28/0.55 (step @p73 :rule cong :premises (@p16 @p72) :args ((=> @t23 @t40))) % 0.28/0.55 (assume-push @p85 @t23) % 0.28/0.55 (step @p75 :rule instantiate :premises (@p57) :args ((@list @t35))) % 0.28/0.55 (step-pop @p86 :rule scope :premises (@p75)) % 0.28/0.55 (step @p76 :rule process_scope :premises (@p86) :args (@t40)) % 0.28/0.55 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.28/0.55 (step @p79 :rule implies_elim :premises (@p78)) % 0.28/0.55 (step @p80 false :rule chain_m_resolution :premises (@p79 @p71 @p57) :args (false (@list true false) (@list @t38 @t23))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------