%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO296^5 : 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 : n007.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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO296^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 00:01:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.58 (define @t2 () (_ tptp.q @t1)) % 0.38/0.58 (define @t3 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t4 () (_ tptp.p @t3)) % 0.38/0.58 (define @t5 () (and @t4 @t2)) % 0.38/0.58 (define @t6 () (@var "A" (-> $$unsorted Bool))) % 0.38/0.58 (define @t7 () (_ @t6 @t1)) % 0.38/0.58 (define @t8 () (_ @t6 @t3)) % 0.38/0.58 (define @t9 () (or @t8 @t7)) % 0.38/0.58 (define @t10 () (@list @t3 @t1)) % 0.38/0.58 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.38/0.58 (define @t12 () (@list @t6)) % 0.38/0.58 (define @t13 () (exists @t12 @t11)) % 0.38/0.58 (define @t14 () (not @t13)) % 0.38/0.58 (define @t15 () (tptp.q @t1)) % 0.38/0.58 (define @t16 () (tptp.p @t3)) % 0.38/0.58 (define @t17 () (and @t16 @t15)) % 0.38/0.58 (define @t18 () (_ @t6 @t1)) % 0.38/0.58 (define @t19 () (_ @t6 @t3)) % 0.38/0.58 (define @t20 () (forall @t10 (or (and (not @t19) (not @t18)) @t17))) % 0.38/0.58 (define @t21 () (forall @t12 (not @t20))) % 0.38/0.58 (define @t22 () (not @t7)) % 0.38/0.58 (define @t23 () (not @t8)) % 0.38/0.58 (define @t24 () (and @t23 @t22)) % 0.38/0.58 (define @t25 () (or @t24 @t5)) % 0.38/0.58 (define @t26 () (lambda (@list (@var "BOUND_VARIABLE_14535" $$unsorted)) false)) % 0.38/0.58 (define @t27 () (_ @t26 @t1)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (_ @t26 @t3)) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (and @t30 @t28)) % 0.38/0.58 (define @t32 () (or @t31 @t17)) % 0.38/0.58 (define @t33 () (forall @t10 @t32)) % 0.38/0.58 (define @t34 () (not @t33)) % 0.38/0.58 (assume @p1 @t14) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule bool-double-not-elim :args (@t21)) % 0.38/0.58 (step @p4 :rule exists-elim :args ((= (exists @t12 @t20) (not @t21)))) % 0.38/0.58 (step @p5 :rule refl :args (@t15)) % 0.38/0.58 (step @p6 :rule refl :args (@t2)) % 0.38/0.58 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t2 @t15))) % 0.38/0.58 (step @p8 :rule symm :premises (@p7)) % 0.38/0.58 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.58 (step @p10 :rule refl :args (@t16)) % 0.38/0.58 (step @p11 :rule refl :args (@t4)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t4 @t16))) % 0.38/0.58 (step @p13 :rule symm :premises (@p12)) % 0.38/0.58 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.38/0.58 (step @p15 :rule nary_cong :premises (@p14 @p9) :args (@t5)) % 0.38/0.58 (step @p16 :rule refl :args (@t18)) % 0.38/0.58 (step @p17 :rule refl :args (@t7)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t7 @t18))) % 0.38/0.58 (step @p19 :rule symm :premises (@p18)) % 0.38/0.58 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t22)) % 0.38/0.58 (step @p22 :rule refl :args (@t19)) % 0.38/0.58 (step @p23 :rule refl :args (@t8)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t8 @t19))) % 0.38/0.58 (step @p25 :rule symm :premises (@p24)) % 0.38/0.58 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args (@t23)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t24)) % 0.38/0.58 (step @p29 :rule nary_cong :premises (@p28 @p15) :args (@t25)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 @t25))) % 0.38/0.58 (step @p31 :rule refl :args (@t5)) % 0.38/0.58 (step @p32 :rule bool-or-de-morgan :args (@t8 @t7 false)) % 0.38/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t9) @t5))) % 0.38/0.58 (step @p34 :rule bool-impl-elim :args (@t9 @t5)) % 0.38/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.38/0.58 (step @p37 :rule trans :premises (@p36 @p30)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t13)) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p4)) % 0.38/0.58 (step @p40 :rule cong :premises (@p39) :args (@t14)) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p3)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.38/0.58 (step @p43 :rule bool-impl-false1 :args (@t21)) % 0.38/0.58 (step @p44 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p45 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.38/0.58 (step @p46 :rule absorb :args ((= (or true @t17) true))) % 0.38/0.58 (step @p47 :rule refl :args (@t17)) % 0.38/0.58 (step @p48 :rule evaluate :args ((and true true))) % 0.38/0.58 (step @p49 :rule evaluate :args ((not false))) % 0.38/0.58 (step @p50 :rule beta-reduce :args ((= @t27 false))) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t28)) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.58 (step @p53 :rule beta-reduce :args ((= @t29 false))) % 0.38/0.58 (step @p54 :rule cong :premises (@p53) :args (@t30)) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p49)) % 0.38/0.58 (step @p56 :rule nary_cong :premises (@p55 @p52) :args (@t31)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p48)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p47) :args (@t32)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p46)) % 0.38/0.58 (step @p60 :rule cong :premises (@p59) :args (@t33)) % 0.38/0.58 (step @p61 :rule trans :premises (@p60 @p45)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args (@t34)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p44)) % 0.38/0.58 (step @p64 :rule refl :args (@t21)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t21 @t34))) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p43)) % 0.38/0.58 (assume-push @p73 @t21) % 0.38/0.58 (step @p68 :rule instantiate :premises (@p42) :args ((@list @t26))) % 0.38/0.58 (step-pop @p74 :rule scope :premises (@p68)) % 0.38/0.58 (step @p69 :rule process_scope :premises (@p74) :args (@t34)) % 0.38/0.58 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.38/0.58 (step @p72 false :rule chain_m_resolution :premises (@p71 @p42) :args (false (@list false) (@list @t21))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------