%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO146^5 : 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 : n025.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 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO146^5 : 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 % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:59:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.b $$unsorted) % 0.32/0.56 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.c $$unsorted) % 0.32/0.56 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.a $$unsorted) % 0.32/0.56 (define @t1 () (_ tptp.cQ tptp.a)) % 0.32/0.56 (define @t2 () (_ tptp.cP tptp.a)) % 0.32/0.56 (define @t3 () (_ @t2 tptp.c)) % 0.32/0.56 (define @t4 () (_ @t2 tptp.b)) % 0.32/0.56 (define @t5 () (and @t4 @t3)) % 0.32/0.56 (define @t6 () (or @t5 @t1)) % 0.32/0.56 (define @t7 () (@var "Xx" $$unsorted)) % 0.32/0.56 (define @t8 () (_ tptp.cQ @t7)) % 0.32/0.56 (define @t9 () (@var "Xy" $$unsorted)) % 0.32/0.56 (define @t10 () (_ (_ tptp.cP @t7) @t9)) % 0.32/0.56 (define @t11 () (@list @t9)) % 0.32/0.56 (define @t12 () (forall @t11 @t10)) % 0.32/0.56 (define @t13 () (or @t12 @t8)) % 0.32/0.56 (define @t14 () (@list @t7)) % 0.32/0.56 (define @t15 () (forall @t14 @t13)) % 0.32/0.56 (define @t16 () (=> @t15 @t6)) % 0.32/0.56 (define @t17 () (not @t16)) % 0.32/0.56 (define @t18 () (tptp.cQ tptp.a)) % 0.32/0.56 (define @t19 () (tptp.cP tptp.a tptp.c)) % 0.32/0.56 (define @t20 () (tptp.cP tptp.a tptp.b)) % 0.32/0.56 (define @t21 () (tptp.cQ @t7)) % 0.32/0.56 (define @t22 () (@var "BOUND_VARIABLE_7438" $$unsorted)) % 0.32/0.56 (define @t23 () (tptp.cP @t7 @t22)) % 0.32/0.56 (define @t24 () (or @t23 @t21)) % 0.32/0.56 (define @t25 () (forall (@list @t7 @t22) @t24)) % 0.32/0.56 (define @t26 () (=> @t25 @t6)) % 0.32/0.56 (define @t27 () (@list @t22)) % 0.32/0.56 (define @t28 () (forall @t27 @t24)) % 0.32/0.56 (define @t29 () (forall @t27 @t23)) % 0.32/0.56 (define @t30 () (or @t29 @t21)) % 0.32/0.56 (define @t31 () (tptp.cP @t7 @t9)) % 0.32/0.56 (define @t32 () (forall @t11 @t31)) % 0.32/0.56 (define @t33 () (or @t32 @t8)) % 0.32/0.56 (define @t34 () (or @t20 @t18)) % 0.32/0.56 (define @t35 () (@list true false)) % 0.32/0.56 (define @t36 () (or @t19 @t18)) % 0.32/0.56 (define @t37 () (not @t36)) % 0.32/0.56 (assume @p1 @t17) % 0.32/0.56 (assume @p2 true) % 0.32/0.56 (step @p3 :rule refl :args (@t18)) % 0.32/0.56 (step @p4 :rule refl :args (@t1)) % 0.32/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t18))) % 0.32/0.56 (step @p6 :rule symm :premises (@p5)) % 0.32/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.32/0.56 (step @p8 :rule refl :args (@t19)) % 0.32/0.56 (step @p9 :rule refl :args (@t3)) % 0.32/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t19))) % 0.32/0.56 (step @p11 :rule symm :premises (@p10)) % 0.32/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.32/0.56 (step @p13 :rule refl :args (@t20)) % 0.32/0.56 (step @p14 :rule refl :args (@t4)) % 0.32/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t4 @t20))) % 0.32/0.56 (step @p16 :rule symm :premises (@p15)) % 0.32/0.56 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.32/0.56 (step @p18 :rule nary_cong :premises (@p17 @p12) :args (@t5)) % 0.32/0.56 (step @p19 :rule nary_cong :premises (@p18 @p7) :args (@t6)) % 0.32/0.56 (step @p20 :rule refl :args (@t25)) % 0.32/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args (@t26)) % 0.32/0.56 (step @p22 :rule cong :premises (@p21) :args ((not @t26))) % 0.32/0.56 (step @p23 :rule refl :args (@t6)) % 0.32/0.56 (step @p24 :rule quant-merge-prenex :args ((= (forall @t14 @t28) @t25))) % 0.32/0.56 (step @p25 :rule refl :args (@t21)) % 0.32/0.56 (step @p26 :rule alpha_equiv :args (@t29 (@list @t22) (@list @t9))) % 0.32/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t30)) % 0.32/0.56 (step @p28 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.32/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.32/0.56 (step @p30 :rule symm :premises (@p29)) % 0.32/0.56 (step @p31 :rule cong :premises (@p30) :args ((forall @t14 (or @t32 @t21)))) % 0.32/0.56 (step @p32 :rule trans :premises (@p31 @p24)) % 0.32/0.56 (step @p33 :rule refl :args (@t21)) % 0.32/0.56 (step @p34 :rule refl :args (@t8)) % 0.32/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t8 @t21))) % 0.32/0.56 (step @p36 :rule symm :premises (@p35)) % 0.32/0.56 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.32/0.56 (step @p38 :rule refl :args (@t32)) % 0.32/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t33)) % 0.32/0.56 (step @p40 :rule cong :premises (@p39) :args ((forall @t14 @t33))) % 0.32/0.56 (step @p41 :rule trans :premises (@p40 @p32)) % 0.32/0.56 (step @p42 :rule refl :args (@t8)) % 0.32/0.56 (step @p43 :rule refl :args (@t31)) % 0.32/0.56 (step @p44 :rule refl :args (@t10)) % 0.32/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t10 @t31))) % 0.32/0.56 (step @p46 :rule symm :premises (@p45)) % 0.32/0.56 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.32/0.56 (step @p48 :rule cong :premises (@p47) :args (@t12)) % 0.32/0.56 (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t13)) % 0.32/0.56 (step @p50 :rule cong :premises (@p49) :args (@t15)) % 0.32/0.56 (step @p51 :rule trans :premises (@p50 @p41)) % 0.32/0.56 (step @p52 :rule cong :premises (@p51 @p23) :args (@t16)) % 0.32/0.56 (step @p53 :rule cong :premises (@p52) :args (@t17)) % 0.32/0.56 (step @p54 :rule trans :premises (@p53 @p22)) % 0.32/0.56 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.32/0.56 (step @p56 :rule not_implies_elim1 :premises (@p55)) % 0.32/0.56 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.a tptp.b))) % 0.32/0.56 (step @p58 :rule not_implies_elim2 :premises (@p55)) % 0.32/0.56 (step @p59 :rule not_or_elim :premises (@p58) :args (1)) % 0.32/0.56 (step @p60 :rule cnf_or_pos :args (@t34)) % 0.32/0.56 (step @p61 :rule reordering :premises (@p60) :args ((or @t18 @t20 (not @t34)))) % 0.32/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p57) :args (@t20 @t35 (@list @t18 @t34))) % 0.32/0.56 (step @p63 :rule not_or_elim :premises (@p58) :args (0)) % 0.32/0.56 (step @p64 :rule not_and :premises (@p63)) % 0.32/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args ((not @t19) (@list false) (@list @t20))) % 0.32/0.56 (step @p66 :rule cnf_or_pos :args (@t36)) % 0.32/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t18 @t19 @t37))) % 0.32/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p59 @p65) :args (@t37 (@list true true) (@list @t18 @t19))) % 0.32/0.56 (assume-push @p75 @t25) % 0.32/0.56 (step @p70 :rule instantiate :premises (@p56) :args ((@list tptp.a tptp.c))) % 0.32/0.56 (step-pop @p76 :rule scope :premises (@p70)) % 0.32/0.56 (step @p71 :rule process_scope :premises (@p76) :args (@t36)) % 0.32/0.56 (step @p73 :rule implies_elim :premises (@p71)) % 0.32/0.56 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p56) :args (false @t35 (@list @t36 @t25))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------