%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO295^5 : 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 : 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 09:12:23 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO295^5 : 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 : n011.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 00:02:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.46/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.x $$unsorted) % 0.46/0.66 (declare-const tptp.a $$unsorted) % 0.46/0.66 (declare-const tptp.y $$unsorted) % 0.46/0.66 (declare-const tptp.b $$unsorted) % 0.46/0.66 (define @t1 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.46/0.66 (define @t2 () (_ @t1 tptp.y)) % 0.46/0.66 (define @t3 () (_ @t1 tptp.x)) % 0.46/0.66 (define @t4 () (and (= @t3 tptp.a) (= @t2 tptp.b))) % 0.46/0.66 (define @t5 () (@list @t1)) % 0.46/0.66 (define @t6 () (exists @t5 @t4)) % 0.46/0.66 (define @t7 () (= tptp.x tptp.y)) % 0.46/0.66 (define @t8 () (not @t7)) % 0.46/0.66 (define @t9 () (=> @t8 @t6)) % 0.46/0.66 (define @t10 () (not @t9)) % 0.46/0.66 (define @t11 () (_ @t1 tptp.y)) % 0.46/0.66 (define @t12 () (= tptp.b @t2)) % 0.46/0.66 (define @t13 () (not @t12)) % 0.46/0.66 (define @t14 () (_ @t1 tptp.x)) % 0.46/0.66 (define @t15 () (= tptp.a @t3)) % 0.46/0.66 (define @t16 () (not @t15)) % 0.46/0.66 (define @t17 () (or @t16 @t13)) % 0.46/0.66 (define @t18 () (and @t15 @t12)) % 0.46/0.66 (define @t19 () (forall @t5 (not @t18))) % 0.46/0.66 (define @t20 () (not @t19)) % 0.46/0.66 (define @t21 () (= tptp.y tptp.x)) % 0.46/0.66 (define @t22 () (ite @t21 tptp.a tptp.b)) % 0.46/0.66 (define @t23 () (@purify @t22)) % 0.46/0.66 (define @t24 () (= tptp.b @t22)) % 0.46/0.66 (define @t25 () (not @t24)) % 0.46/0.66 (define @t26 () (forall @t5 (or (not (= tptp.a @t14)) (not (= tptp.b @t11))))) % 0.46/0.66 (define @t27 () (ite (= tptp.y tptp.y) tptp.b tptp.y)) % 0.46/0.66 (define @t28 () (ite @t7 tptp.a @t27)) % 0.46/0.66 (define @t29 () (@var "BOUND_VARIABLE_29361" $$unsorted)) % 0.46/0.66 (define @t30 () (lambda (@list @t29) (ite (= tptp.x @t29) tptp.a (ite (= tptp.y @t29) tptp.b tptp.y)))) % 0.46/0.66 (define @t31 () (_ @t30 tptp.y)) % 0.46/0.66 (define @t32 () (= tptp.b @t31)) % 0.46/0.66 (define @t33 () (not @t32)) % 0.46/0.66 (define @t34 () (ite @t21 tptp.b tptp.y)) % 0.46/0.66 (define @t35 () (ite (= tptp.x tptp.x) tptp.a @t34)) % 0.46/0.66 (define @t36 () (_ @t30 tptp.x)) % 0.46/0.66 (define @t37 () (= tptp.a @t36)) % 0.46/0.66 (define @t38 () (not @t37)) % 0.46/0.66 (define @t39 () (or @t38 @t33)) % 0.46/0.66 (define @t40 () (= tptp.b @t23)) % 0.46/0.66 (define @t41 () (= @t22 tptp.b)) % 0.46/0.66 (define @t42 () (= @t22 tptp.a)) % 0.46/0.66 (assume @p1 @t10) % 0.46/0.66 (assume @p2 true) % 0.46/0.66 (step @p3 :rule refl :args (@t11)) % 0.46/0.66 (step @p4 :rule refl :args (@t2)) % 0.46/0.66 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t11))) % 0.46/0.66 (step @p6 :rule symm :premises (@p5)) % 0.46/0.66 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.46/0.66 (step @p8 :rule refl :args (tptp.b)) % 0.46/0.66 (step @p9 :rule cong :premises (@p8 @p7) :args (@t12)) % 0.46/0.66 (step @p10 :rule cong :premises (@p9) :args (@t13)) % 0.46/0.66 (step @p11 :rule refl :args (@t14)) % 0.46/0.66 (step @p12 :rule refl :args (@t3)) % 0.46/0.66 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t14))) % 0.46/0.66 (step @p14 :rule symm :premises (@p13)) % 0.46/0.66 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.46/0.66 (step @p16 :rule refl :args (tptp.a)) % 0.46/0.66 (step @p17 :rule cong :premises (@p16 @p15) :args (@t15)) % 0.46/0.66 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.46/0.66 (step @p19 :rule nary_cong :premises (@p18 @p10) :args (@t17)) % 0.46/0.66 (step @p20 :rule cong :premises (@p19) :args ((forall @t5 @t17))) % 0.46/0.66 (step @p21 :rule bool-and-de-morgan :args (@t15 @t12 true)) % 0.46/0.66 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 0.46/0.66 (step @p23 :rule trans :premises (@p22 @p20)) % 0.46/0.66 (step @p24 :rule cong :premises (@p23) :args (@t20)) % 0.46/0.66 (step @p25 :rule exists-elim :args ((= (exists @t5 @t18) @t20))) % 0.46/0.66 (step @p26 :rule trans :premises (@p25 @p24)) % 0.46/0.66 (step @p27 :rule eq-symm :args (@t2 tptp.b)) % 0.46/0.66 (step @p28 :rule eq-symm :args (@t3 tptp.a)) % 0.46/0.66 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t4)) % 0.46/0.66 (step @p30 :rule cong :premises (@p29) :args (@t6)) % 0.46/0.66 (step @p31 :rule trans :premises (@p30 @p26)) % 0.46/0.66 (step @p32 :rule eq-symm :args (tptp.x tptp.y)) % 0.46/0.66 (step @p33 :rule cong :premises (@p32) :args (@t8)) % 0.46/0.66 (step @p34 :rule cong :premises (@p33 @p31) :args (@t9)) % 0.46/0.66 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 0.46/0.66 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.46/0.66 (step @p37 :rule not_implies_elim1 :premises (@p36)) % 0.46/0.66 (step @p38 :rule not_implies_elim2 :premises (@p36)) % 0.46/0.66 (step @p39 :rule not_not_elim :premises (@p38)) % 0.46/0.66 (step @p40 :rule eq-refl :args (@t22)) % 0.46/0.66 (step @p41 :rule skolem_intro :args (@t23)) % 0.46/0.66 (step @p42 :rule refl :args (@t22)) % 0.46/0.66 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t22 @t23))) % 0.46/0.66 (step @p44 :rule trans :premises (@p43 @p40)) % 0.46/0.66 (step @p45 :rule true_elim :premises (@p44)) % 0.46/0.66 (step @p46 :rule refl :args (tptp.b)) % 0.46/0.66 (step @p47 :rule cong :premises (@p46 @p45) :args (@t24)) % 0.46/0.66 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.46/0.66 (step @p49 :rule refl :args (@t26)) % 0.46/0.66 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t26 @t25))) % 0.46/0.66 (step @p51 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.46/0.66 (step @p52 :rule ite-true-cond :args (tptp.b tptp.y)) % 0.46/0.66 (step @p53 :rule refl :args (tptp.y)) % 0.46/0.66 (step @p54 :rule eq-refl :args (tptp.y)) % 0.46/0.66 (step @p55 :rule cong :premises (@p54 @p46 @p53) :args (@t27)) % 0.46/0.66 (step @p56 :rule trans :premises (@p55 @p52)) % 0.46/0.66 (step @p57 :rule refl :args (tptp.a)) % 0.46/0.66 (step @p58 :rule cong :premises (@p32 @p57 @p56) :args (@t28)) % 0.46/0.66 (step @p59 :rule beta-reduce :args ((= @t31 @t28))) % 0.46/0.66 (step @p60 :rule trans :premises (@p59 @p58)) % 0.46/0.66 (step @p61 :rule cong :premises (@p46 @p60) :args (@t32)) % 0.46/0.66 (step @p62 :rule cong :premises (@p61) :args (@t33)) % 0.46/0.66 (step @p63 :rule evaluate :args ((not true))) % 0.46/0.66 (step @p64 :rule eq-refl :args (tptp.a)) % 0.46/0.66 (step @p65 :rule ite-true-cond :args (tptp.a @t34)) % 0.46/0.66 (step @p66 :rule refl :args (@t34)) % 0.46/0.66 (step @p67 :rule eq-refl :args (tptp.x)) % 0.46/0.66 (step @p68 :rule cong :premises (@p67 @p57 @p66) :args (@t35)) % 0.46/0.66 (step @p69 :rule trans :premises (@p68 @p65)) % 0.46/0.66 (step @p70 :rule beta-reduce :args ((= @t36 @t35))) % 0.46/0.66 (step @p71 :rule trans :premises (@p70 @p69)) % 0.46/0.66 (step @p72 :rule cong :premises (@p57 @p71) :args (@t37)) % 0.46/0.66 (step @p73 :rule trans :premises (@p72 @p64)) % 0.46/0.66 (step @p74 :rule cong :premises (@p73) :args (@t38)) % 0.46/0.66 (step @p75 :rule trans :premises (@p74 @p63)) % 0.46/0.66 (step @p76 :rule nary_cong :premises (@p75 @p62) :args (@t39)) % 0.46/0.66 (step @p77 :rule trans :premises (@p76 @p51)) % 0.46/0.66 (step @p78 :rule cong :premises (@p49 @p77) :args ((=> @t26 @t39))) % 0.46/0.66 (assume-push @p99 @t26) % 0.46/0.66 (step @p80 :rule instantiate :premises (@p39) :args ((@list @t30))) % 0.46/0.66 (step-pop @p100 :rule scope :premises (@p80)) % 0.46/0.66 (step @p81 :rule process_scope :premises (@p100) :args (@t39)) % 0.46/0.66 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.46/0.66 (step @p84 :rule eq_resolve :premises (@p83 @p50)) % 0.46/0.66 (step @p85 :rule implies_elim :premises (@p84)) % 0.46/0.66 (step @p86 :rule chain_m_resolution :premises (@p85 @p39) :args ((not @t40) (@list false) (@list @t26))) % 0.46/0.66 (step @p87 :rule eq-symm :args (@t23 tptp.b)) % 0.46/0.66 (step @p88 :rule eq-symm :args (@t23 tptp.a)) % 0.46/0.66 (step @p89 :rule refl :args (@t21)) % 0.46/0.66 (step @p90 :rule cong :premises (@p89 @p88 @p87) :args ((ite @t21 (= @t23 tptp.a) (= @t23 tptp.b)))) % 0.46/0.66 (step @p91 :rule cong :premises (@p45 @p46) :args (@t41)) % 0.46/0.66 (step @p92 :rule cong :premises (@p45 @p57) :args (@t42)) % 0.46/0.66 (step @p93 :rule cong :premises (@p89 @p92 @p91) :args ((ite @t21 @t42 @t41))) % 0.46/0.66 (step @p94 :rule ite_eq :args (@t22)) % 0.46/0.66 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.46/0.66 (step @p96 :rule eq_resolve :premises (@p95 @p90)) % 0.46/0.66 (step @p97 :rule ite_elim2 :premises (@p96)) % 0.46/0.66 (step @p98 false :rule chain_m_resolution :premises (@p97 @p86 @p37) :args (false (@list true true) (@list @t40 @t21))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------