%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO233^5 : 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 : n010.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 09:12:17 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO233^5 : 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 % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 00:00:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.45/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.cM (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.cN (-> $$unsorted $$unsorted)) % 0.45/0.69 (define @t1 () (@var "Xx" $$unsorted)) % 0.45/0.69 (define @t2 () (_ tptp.cN @t1)) % 0.45/0.69 (define @t3 () (@var "Xp" (-> $$unsorted Bool))) % 0.45/0.69 (define @t4 () (_ @t3 @t2)) % 0.45/0.69 (define @t5 () (_ tptp.cM @t1)) % 0.45/0.69 (define @t6 () (_ @t3 @t5)) % 0.45/0.69 (define @t7 () (@list @t1 @t3)) % 0.45/0.69 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.45/0.69 (define @t9 () (=> @t8 (= tptp.cM tptp.cN))) % 0.45/0.69 (define @t10 () (not @t9)) % 0.45/0.69 (define @t11 () (tptp.cN @t1)) % 0.45/0.69 (define @t12 () (_ @t3 @t11)) % 0.45/0.69 (define @t13 () (tptp.cM @t1)) % 0.45/0.69 (define @t14 () (_ @t3 @t13)) % 0.45/0.69 (define @t15 () (not @t6)) % 0.45/0.69 (define @t16 () (or @t15 @t4)) % 0.45/0.69 (define @t17 () (@const 0 $$unsorted)) % 0.45/0.69 (define @t18 () (tptp.cM @t17)) % 0.45/0.69 (define @t19 () (tptp.cN @t17)) % 0.45/0.69 (define @t20 () (= @t19 @t18)) % 0.45/0.69 (define @t21 () (not @t20)) % 0.45/0.69 (define @t22 () (= tptp.cN tptp.cM)) % 0.45/0.69 (define @t23 () (@var "BOUND_VARIABLE_29975" $$unsorted)) % 0.45/0.69 (define @t24 () (lambda (@list @t23) (= @t18 @t23))) % 0.45/0.69 (define @t25 () (_ @t24 @t19)) % 0.45/0.69 (define @t26 () (_ @t24 @t18)) % 0.45/0.69 (define @t27 () (not @t26)) % 0.45/0.69 (define @t28 () (or @t27 @t25)) % 0.45/0.69 (define @t29 () (forall @t7 (or (not @t14) @t12))) % 0.45/0.69 (assume @p1 @t10) % 0.45/0.69 (assume @p2 true) % 0.45/0.69 (step @p3 :rule eq-symm :args (tptp.cM tptp.cN)) % 0.45/0.69 (step @p4 :rule refl :args ((_ @t3 @t2))) % 0.45/0.69 (step @p5 :rule refl :args (@t11)) % 0.45/0.69 (step @p6 :rule cong :premises (@p5) :args (@t12)) % 0.45/0.69 (step @p7 :rule trans :premises (@p6 @p4)) % 0.45/0.69 (step @p8 :rule refl :args (@t3)) % 0.45/0.69 (step @p9 :rule ho_cong :premises (@p8 @p5)) % 0.45/0.69 (step @p10 :rule cong :premises (@p9 @p7) :args ((= (_ @t3 @t11) @t12))) % 0.45/0.69 (step @p11 :rule symm :premises (@p10)) % 0.45/0.69 (step @p12 :rule refl :args (@t4)) % 0.45/0.69 (step @p13 :rule eq_resolve :premises (@p12 @p11)) % 0.45/0.69 (step @p14 :rule refl :args (@t2)) % 0.45/0.69 (step @p15 :rule cong :premises (@p14 @p5) :args ((= @t2 @t11))) % 0.45/0.69 (step @p16 :rule symm :premises (@p15)) % 0.45/0.69 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.45/0.69 (step @p18 :rule ho_cong :premises (@p8 @p17)) % 0.45/0.69 (step @p19 :rule trans :premises (@p18 @p13)) % 0.45/0.69 (step @p20 :rule refl :args ((_ @t3 @t5))) % 0.45/0.69 (step @p21 :rule refl :args (@t13)) % 0.45/0.69 (step @p22 :rule cong :premises (@p21) :args (@t14)) % 0.45/0.69 (step @p23 :rule trans :premises (@p22 @p20)) % 0.45/0.69 (step @p24 :rule ho_cong :premises (@p8 @p21)) % 0.45/0.69 (step @p25 :rule cong :premises (@p24 @p23) :args ((= (_ @t3 @t13) @t14))) % 0.45/0.69 (step @p26 :rule symm :premises (@p25)) % 0.45/0.69 (step @p27 :rule refl :args (@t6)) % 0.45/0.69 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.45/0.69 (step @p29 :rule refl :args (@t5)) % 0.45/0.69 (step @p30 :rule cong :premises (@p29 @p21) :args ((= @t5 @t13))) % 0.45/0.69 (step @p31 :rule symm :premises (@p30)) % 0.45/0.69 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.45/0.69 (step @p33 :rule ho_cong :premises (@p8 @p32)) % 0.45/0.69 (step @p34 :rule trans :premises (@p33 @p28)) % 0.45/0.69 (step @p35 :rule cong :premises (@p34) :args (@t15)) % 0.45/0.69 (step @p36 :rule nary_cong :premises (@p35 @p19) :args (@t16)) % 0.45/0.69 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 @t16))) % 0.45/0.69 (step @p38 :rule bool-impl-elim :args (@t6 @t4)) % 0.45/0.69 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.45/0.69 (step @p40 :rule trans :premises (@p39 @p37)) % 0.45/0.69 (step @p41 :rule cong :premises (@p40 @p3) :args (@t9)) % 0.45/0.69 (step @p42 :rule cong :premises (@p41) :args (@t10)) % 0.45/0.69 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.45/0.69 (step @p44 :rule not_implies_elim1 :premises (@p43)) % 0.45/0.69 (step @p45 :rule not_implies_elim2 :premises (@p43)) % 0.45/0.69 ; WARNING: add trust step for TRUST % 0.45/0.69 ; trust TRUST THEORY_LEMMA % 0.45/0.69 (step @p46 :rule trust :premises () :args ((or @t22 @t21))) % 0.45/0.69 (step @p47 :rule chain_m_resolution :premises (@p46 @p45) :args (@t21 (@list true) (@list @t22))) % 0.45/0.69 (step @p48 :rule aci_norm :args ((= (or false @t20) @t20))) % 0.45/0.69 (step @p49 :rule eq-symm :args (@t18 @t19)) % 0.45/0.69 (step @p50 :rule beta-reduce :args ((= @t25 (= @t18 @t19)))) % 0.45/0.69 (step @p51 :rule trans :premises (@p50 @p49)) % 0.45/0.69 (step @p52 :rule evaluate :args ((not true))) % 0.45/0.69 (step @p53 :rule eq-refl :args (@t18)) % 0.45/0.69 (step @p54 :rule beta-reduce :args ((= @t26 (= @t18 @t18)))) % 0.45/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.45/0.69 (step @p56 :rule cong :premises (@p55) :args (@t27)) % 0.45/0.69 (step @p57 :rule trans :premises (@p56 @p52)) % 0.45/0.69 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t28)) % 0.45/0.69 (step @p59 :rule trans :premises (@p58 @p48)) % 0.45/0.69 (step @p60 :rule refl :args (@t29)) % 0.45/0.69 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t29 @t28))) % 0.45/0.69 (assume-push @p69 @t29) % 0.45/0.69 (step @p63 :rule instantiate :premises (@p44) :args ((@list @t17 @t24))) % 0.45/0.69 (step-pop @p70 :rule scope :premises (@p63)) % 0.45/0.69 (step @p64 :rule process_scope :premises (@p70) :args (@t28)) % 0.45/0.69 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 0.45/0.69 (step @p67 :rule implies_elim :premises (@p66)) % 0.45/0.69 (step @p68 false :rule chain_m_resolution :premises (@p67 @p47 @p44) :args (false (@list true false) (@list @t20 @t29))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------