%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO527^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:13:04 AM UTC 2026 % Result : Theorem 3.52s 3.78s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO527^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n016.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Wed Jun 3 00:19:54 EDT 2026 % 0.16/0.36 % CPUTime : % 0.28/0.51 %----Proving TH0 % 3.52/3.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 3.52/3.78 % SZS status Theorem % 3.52/3.78 % SZS output start Proof % 3.52/3.78 ( % 3.52/3.78 (declare-sort tptp.a 0) % 3.52/3.78 (declare-sort tptp.b 0) % 3.52/3.78 (declare-const tptp.r (-> tptp.a tptp.b Bool)) % 3.52/3.78 (define @t1 () (@var "Y" tptp.b)) % 3.52/3.78 (define @t2 () (@var "X" tptp.a)) % 3.52/3.78 (define @t3 () (_ tptp.r @t2)) % 3.52/3.78 (define @t4 () (_ @t3 @t1)) % 3.52/3.78 (define @t5 () (@list @t1)) % 3.52/3.78 (define @t6 () (exists @t5 @t4)) % 3.52/3.78 (define @t7 () (@list @t2)) % 3.52/3.78 (define @t8 () (forall @t7 @t6)) % 3.52/3.78 (define @t9 () (@var "F" (-> tptp.a tptp.b))) % 3.52/3.78 (define @t10 () (_ @t9 @t2)) % 3.52/3.78 (define @t11 () (_ @t3 @t10)) % 3.52/3.78 (define @t12 () (forall @t7 @t11)) % 3.52/3.78 (define @t13 () (@list @t9)) % 3.52/3.78 (define @t14 () (exists @t13 @t12)) % 3.52/3.78 (define @t15 () (not @t14)) % 3.52/3.78 (define @t16 () (tptp.r @t2 @t1)) % 3.52/3.78 (define @t17 () (not @t4)) % 3.52/3.78 (define @t18 () (forall @t5 @t17)) % 3.52/3.78 (define @t19 () (not @t18)) % 3.52/3.78 (define @t20 () (@var "BOUND_VARIABLE_35591" tptp.a)) % 3.52/3.78 (define @t21 () (@const 0 (-> tptp.a tptp.b))) % 3.52/3.78 (define @t22 () (_ @t21 @t20)) % 3.52/3.78 (define @t23 () (@var "x" tptp.b)) % 3.52/3.78 (define @t24 () (@list @t23)) % 3.52/3.78 (define @t25 () (@list @t20)) % 3.52/3.78 (define @t26 () (_ @t21 @t2)) % 3.52/3.78 (define @t27 () (forall @t7 (tptp.r @t2 @t26))) % 3.52/3.78 (define @t28 () (@quantifiers_skolemize @t27 0)) % 3.52/3.78 (define @t29 () (@list @t28)) % 3.52/3.78 (define @t30 () (_ @t9 @t2)) % 3.52/3.78 (define @t31 () (tptp.r @t2 @t30)) % 3.52/3.78 (define @t32 () (forall @t7 @t31)) % 3.52/3.78 (define @t33 () (forall @t13 (not @t32))) % 3.52/3.78 (define @t34 () (lambda @t25 @t22)) % 3.52/3.78 (define @t35 () (_ @t34 @t2)) % 3.52/3.78 (define @t36 () (tptp.r @t2 @t35)) % 3.52/3.78 (define @t37 () (forall @t7 @t36)) % 3.52/3.78 (define @t38 () (not @t37)) % 3.52/3.78 (define @t39 () (@list false)) % 3.52/3.78 (define @t40 () (tptp.r @t28 (_ @t21 @t28))) % 3.52/3.78 (define @t41 () (forall @t24 (not (tptp.r @t28 @t23)))) % 3.52/3.78 (define @t42 () (or @t41 @t40)) % 3.52/3.78 (define @t43 () (forall @t5 (not (tptp.r @t28 @t1)))) % 3.52/3.78 (define @t44 () (forall @t7 (not (forall @t5 (not @t16))))) % 3.52/3.78 (assume @p1 @t8) % 3.52/3.78 (assume @p2 @t15) % 3.52/3.78 (assume @p3 true) % 3.52/3.78 (step @p4 :rule refl :args (@t16)) % 3.52/3.78 (step @p5 :rule refl :args (@t4)) % 3.52/3.78 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t16))) % 3.52/3.78 (step @p7 :rule symm :premises (@p6)) % 3.52/3.78 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 3.52/3.78 (step @p9 :rule cong :premises (@p8) :args (@t17)) % 3.52/3.78 (step @p10 :rule cong :premises (@p9) :args (@t18)) % 3.52/3.78 (step @p11 :rule cong :premises (@p10) :args (@t19)) % 3.52/3.78 (step @p12 :rule exists-elim :args ((= @t6 @t19))) % 3.52/3.78 (step @p13 :rule trans :premises (@p12 @p11)) % 3.52/3.78 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 3.52/3.78 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 3.52/3.78 ; WARNING: add trust step for TRUST % 3.52/3.78 ; trust TRUST THEORY_LEMMA % 3.52/3.78 (step @p16 :rule trust :premises () :args ((forall @t25 (or (forall @t24 (not (tptp.r @t20 @t23))) (tptp.r @t20 @t22))))) % 3.52/3.78 (step @p17 :rule instantiate :premises (@p16) :args (@t29)) % 3.52/3.78 (step @p18 :rule bool-double-not-elim :args (@t33)) % 3.52/3.78 (step @p19 :rule exists-elim :args ((= (exists @t13 @t32) (not @t33)))) % 3.52/3.78 (step @p20 :rule refl :args ((tptp.r @t2 @t10))) % 3.52/3.78 (step @p21 :rule refl :args (@t30)) % 3.52/3.78 (step @p22 :rule refl :args (@t2)) % 3.52/3.78 (step @p23 :rule cong :premises (@p22 @p21) :args (@t31)) % 3.52/3.78 (step @p24 :rule trans :premises (@p23 @p20)) % 3.52/3.78 (step @p25 :rule refl :args (@t3)) % 3.52/3.78 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 3.52/3.78 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t3 @t30) @t31))) % 3.52/3.78 (step @p28 :rule symm :premises (@p27)) % 3.52/3.78 (step @p29 :rule refl :args (@t11)) % 3.52/3.78 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 3.52/3.78 (step @p31 :rule refl :args (@t10)) % 3.52/3.78 (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t10 @t30))) % 3.52/3.78 (step @p33 :rule symm :premises (@p32)) % 3.52/3.78 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 3.52/3.78 (step @p35 :rule ho_cong :premises (@p25 @p34)) % 3.52/3.78 (step @p36 :rule trans :premises (@p35 @p30)) % 3.52/3.78 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 3.52/3.78 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 3.52/3.78 (step @p39 :rule trans :premises (@p38 @p19)) % 3.52/3.78 (step @p40 :rule cong :premises (@p39) :args (@t15)) % 3.52/3.78 (step @p41 :rule trans :premises (@p40 @p18)) % 3.52/3.78 (step @p42 :rule eq_resolve :premises (@p2 @p41)) % 3.52/3.78 (step @p43 :rule beta-reduce :args ((= @t35 @t26))) % 3.52/3.78 (step @p44 :rule refl :args (@t2)) % 3.52/3.78 (step @p45 :rule cong :premises (@p44 @p43) :args (@t36)) % 3.52/3.79 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 3.52/3.79 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 3.52/3.79 (step @p48 :rule refl :args (@t33)) % 3.52/3.79 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t33 @t38))) % 3.52/3.79 (assume-push @p70 @t33) % 3.52/3.79 (step @p51 :rule instantiate :premises (@p42) :args ((@list @t34))) % 3.52/3.79 (step-pop @p71 :rule scope :premises (@p51)) % 3.52/3.79 (step @p52 :rule process_scope :premises (@p71) :args (@t38)) % 3.52/3.79 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 3.52/3.79 (step @p55 :rule implies_elim :premises (@p54)) % 3.52/3.79 (step @p56 :rule chain_m_resolution :premises (@p55 @p42) :args ((not @t27) @t39 (@list @t33))) % 3.52/3.79 (step @p57 :rule skolemize :premises (@p56)) % 3.52/3.79 (step @p58 :rule cnf_or_pos :args (@t42)) % 3.52/3.79 (step @p59 :rule reordering :premises (@p58) :args ((or @t40 @t41 (not @t42)))) % 3.52/3.79 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p17) :args (@t41 (@list true false) (@list @t40 @t42))) % 3.52/3.79 (step @p61 :rule alpha_equiv :args (@t41 (@list @t23) (@list @t1))) % 3.52/3.79 (step @p62 :rule equiv_elim1 :premises (@p61)) % 3.52/3.79 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t43 @t39 (@list @t41))) % 3.52/3.79 (assume-push @p72 @t44) % 3.52/3.79 (step @p65 :rule instantiate :premises (@p15) :args (@t29)) % 3.52/3.79 (step-pop @p73 :rule scope :premises (@p65)) % 3.52/3.79 (step @p66 :rule process_scope :premises (@p73) :args ((not @t43))) % 3.52/3.79 (step @p68 :rule implies_elim :premises (@p66)) % 3.52/3.79 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p15) :args (false (@list false false) (@list @t43 @t44))) % 3.52/3.79 ) % 3.52/3.79 % SZS output end Proof % 3.52/3.79 % cvc5 exiting %------------------------------------------------------------------------------