%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO518^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:13:03 AM UTC 2026 % Result : Theorem 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO518^1 : TPTP v9.2.1. Released v4.1.0. % 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 : n019.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 : Wed Jun 3 00:19:04 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.72/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.72/1.00 % SZS status Theorem % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (define @t1 () (@var "Y" $$unsorted)) % 0.72/1.00 (define @t2 () (@var "X" $$unsorted)) % 0.72/1.00 (define @t3 () (@var "I" (-> Bool $$unsorted $$unsorted $$unsorted))) % 0.72/1.00 (define @t4 () (_ @t3 false)) % 0.72/1.00 (define @t5 () (_ (_ @t4 @t2) @t1)) % 0.72/1.00 (define @t6 () (_ @t3 true)) % 0.72/1.00 (define @t7 () (_ (_ @t6 @t2) @t1)) % 0.72/1.00 (define @t8 () (and (= @t7 @t2) (= @t5 @t1))) % 0.72/1.00 (define @t9 () (@list @t2 @t1)) % 0.72/1.00 (define @t10 () (forall @t9 @t8)) % 0.72/1.00 (define @t11 () (@list @t3)) % 0.72/1.00 (define @t12 () (exists @t11 @t10)) % 0.72/1.00 (define @t13 () (not @t12)) % 0.72/1.00 (define @t14 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.72/1.00 (define @t15 () (@var "BOUND_VARIABLE_7439" $$unsorted)) % 0.72/1.00 (define @t16 () (_ @t3 false @t15 @t14)) % 0.72/1.00 (define @t17 () (@list @t15 @t14)) % 0.72/1.00 (define @t18 () (forall @t17 (= @t14 @t16))) % 0.72/1.00 (define @t19 () (@var "BOUND_VARIABLE_7432" $$unsorted)) % 0.72/1.00 (define @t20 () (@var "BOUND_VARIABLE_7430" $$unsorted)) % 0.72/1.00 (define @t21 () (_ @t3 true @t20 @t19)) % 0.72/1.00 (define @t22 () (@list @t20 @t19)) % 0.72/1.00 (define @t23 () (forall @t22 (= @t20 @t21))) % 0.72/1.00 (define @t24 () (forall @t11 (or (not @t23) (not @t18)))) % 0.72/1.00 (define @t25 () (and @t23 @t18)) % 0.72/1.00 (define @t26 () (forall @t11 (not @t25))) % 0.72/1.00 (define @t27 () (not @t26)) % 0.72/1.00 (define @t28 () (_ (_ @t4 @t15) @t14)) % 0.72/1.00 (define @t29 () (= @t14 @t28)) % 0.72/1.00 (define @t30 () (forall @t17 @t29)) % 0.72/1.00 (define @t31 () (_ (_ @t6 @t20) @t19)) % 0.72/1.00 (define @t32 () (= @t20 @t31)) % 0.72/1.00 (define @t33 () (forall @t22 @t32)) % 0.72/1.00 (define @t34 () (= @t1 @t5)) % 0.72/1.00 (define @t35 () (forall @t9 @t34)) % 0.72/1.00 (define @t36 () (@list @t2 @t1)) % 0.72/1.00 (define @t37 () (= @t2 @t7)) % 0.72/1.00 (define @t38 () (forall @t9 @t37)) % 0.72/1.00 (define @t39 () (and @t38 @t35)) % 0.72/1.00 (define @t40 () (@var "BOUND_VARIABLE_28514" $$unsorted)) % 0.72/1.00 (define @t41 () (@var "BOUND_VARIABLE_28513" $$unsorted)) % 0.72/1.00 (define @t42 () (@var "BOUND_VARIABLE_28512" Bool)) % 0.72/1.00 (define @t43 () (lambda (@list @t42 @t41 @t40) (ite @t42 @t41 @t40))) % 0.72/1.00 (define @t44 () (_ @t43 false @t15 @t14)) % 0.72/1.00 (define @t45 () (= @t14 @t44)) % 0.72/1.00 (define @t46 () (forall @t17 @t45)) % 0.72/1.00 (define @t47 () (not @t46)) % 0.72/1.00 (define @t48 () (_ @t43 true @t20 @t19)) % 0.72/1.00 (define @t49 () (= @t20 @t48)) % 0.72/1.00 (define @t50 () (forall @t22 @t49)) % 0.72/1.00 (define @t51 () (not @t50)) % 0.72/1.00 (define @t52 () (or @t51 @t47)) % 0.72/1.00 (assume @p1 @t13) % 0.72/1.00 (assume @p2 true) % 0.72/1.00 (step @p3 :rule bool-double-not-elim :args (@t24)) % 0.72/1.00 (step @p4 :rule bool-and-de-morgan :args (@t23 @t18 true)) % 0.72/1.00 (step @p5 :rule cong :premises (@p4) :args (@t26)) % 0.72/1.00 (step @p6 :rule cong :premises (@p5) :args (@t27)) % 0.72/1.00 (step @p7 :rule exists-elim :args ((= (exists @t11 @t25) @t27))) % 0.72/1.00 (step @p8 :rule trans :premises (@p7 @p6)) % 0.72/1.00 (step @p9 :rule refl :args (@t16)) % 0.72/1.00 (step @p10 :rule refl :args (@t28)) % 0.72/1.00 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t28 @t16))) % 0.72/1.00 (step @p12 :rule symm :premises (@p11)) % 0.72/1.00 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.72/1.00 (step @p14 :rule refl :args (@t14)) % 0.72/1.00 (step @p15 :rule cong :premises (@p14 @p13) :args (@t29)) % 0.72/1.00 (step @p16 :rule cong :premises (@p15) :args (@t30)) % 0.72/1.00 (step @p17 :rule refl :args (@t21)) % 0.72/1.00 (step @p18 :rule refl :args (@t31)) % 0.72/1.00 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t31 @t21))) % 0.72/1.00 (step @p20 :rule symm :premises (@p19)) % 0.72/1.00 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.72/1.00 (step @p22 :rule refl :args (@t20)) % 0.72/1.00 (step @p23 :rule cong :premises (@p22 @p21) :args (@t32)) % 0.72/1.00 (step @p24 :rule cong :premises (@p23) :args (@t33)) % 0.72/1.00 (step @p25 :rule nary_cong :premises (@p24 @p16) :args ((and @t33 @t30))) % 0.72/1.00 (step @p26 :rule alpha_equiv :args (@t35 @t36 (@list @t15 @t14))) % 0.72/1.00 (step @p27 :rule alpha_equiv :args (@t38 @t36 (@list @t20 @t19))) % 0.72/1.00 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t39)) % 0.72/1.00 (step @p29 :rule quant-miniscope-and :args ((= (forall @t9 (and @t37 @t34)) @t39))) % 0.72/1.00 (step @p30 :rule trans :premises (@p29 @p28)) % 0.72/1.00 (step @p31 :rule trans :premises (@p30 @p25)) % 0.72/1.00 (step @p32 :rule eq-symm :args (@t5 @t1)) % 0.72/1.00 (step @p33 :rule eq-symm :args (@t7 @t2)) % 0.72/1.00 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t8)) % 0.72/1.00 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 0.72/1.00 (step @p36 :rule trans :premises (@p35 @p31)) % 0.72/1.00 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.72/1.00 (step @p38 :rule trans :premises (@p37 @p8)) % 0.72/1.00 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 0.72/1.00 (step @p40 :rule trans :premises (@p39 @p3)) % 0.72/1.00 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.72/1.00 (step @p42 :rule bool-impl-false1 :args (@t24)) % 0.72/1.00 (step @p43 :rule evaluate :args ((or false false))) % 0.72/1.00 (step @p44 :rule evaluate :args ((not true))) % 0.72/1.00 (step @p45 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.72/1.00 (step @p46 :rule eq-refl :args (@t14)) % 0.72/1.00 (step @p47 :rule ite-false-cond :args (@t15 @t14)) % 0.72/1.00 (step @p48 :rule beta-reduce :args ((= @t44 (ite false @t15 @t14)))) % 0.72/1.00 (step @p49 :rule trans :premises (@p48 @p47)) % 0.72/1.00 (step @p50 :rule refl :args (@t14)) % 0.72/1.00 (step @p51 :rule cong :premises (@p50 @p49) :args (@t45)) % 0.72/1.00 (step @p52 :rule trans :premises (@p51 @p46)) % 0.72/1.00 (step @p53 :rule cong :premises (@p52) :args (@t46)) % 0.72/1.00 (step @p54 :rule trans :premises (@p53 @p45)) % 0.72/1.00 (step @p55 :rule cong :premises (@p54) :args (@t47)) % 0.72/1.00 (step @p56 :rule trans :premises (@p55 @p44)) % 0.72/1.00 (step @p57 :rule quant-unused-vars :args ((= (forall @t22 true) true))) % 0.72/1.00 (step @p58 :rule eq-refl :args (@t20)) % 0.72/1.00 (step @p59 :rule ite-true-cond :args (@t20 @t19)) % 0.72/1.00 (step @p60 :rule beta-reduce :args ((= @t48 (ite true @t20 @t19)))) % 0.72/1.00 (step @p61 :rule trans :premises (@p60 @p59)) % 0.72/1.00 (step @p62 :rule refl :args (@t20)) % 0.72/1.00 (step @p63 :rule cong :premises (@p62 @p61) :args (@t49)) % 0.72/1.00 (step @p64 :rule trans :premises (@p63 @p58)) % 0.72/1.00 (step @p65 :rule cong :premises (@p64) :args (@t50)) % 0.72/1.00 (step @p66 :rule trans :premises (@p65 @p57)) % 0.72/1.00 (step @p67 :rule cong :premises (@p66) :args (@t51)) % 0.72/1.00 (step @p68 :rule trans :premises (@p67 @p44)) % 0.72/1.00 (step @p69 :rule nary_cong :premises (@p68 @p56) :args (@t52)) % 0.72/1.00 (step @p70 :rule trans :premises (@p69 @p43)) % 0.72/1.00 (step @p71 :rule refl :args (@t24)) % 0.72/1.00 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t24 @t52))) % 0.72/1.00 (step @p73 :rule trans :premises (@p72 @p42)) % 0.72/1.00 (assume-push @p80 @t24) % 0.72/1.00 (step @p75 :rule instantiate :premises (@p41) :args ((@list @t43))) % 0.72/1.00 (step-pop @p81 :rule scope :premises (@p75)) % 0.72/1.00 (step @p76 :rule process_scope :premises (@p81) :args (@t52)) % 0.72/1.00 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.72/1.00 (step @p79 false :rule chain_m_resolution :premises (@p78 @p41) :args (false (@list false) (@list @t24))) % 0.72/1.00 ) % 0.72/1.00 % SZS output end Proof % 0.72/1.01 % cvc5 exiting %------------------------------------------------------------------------------