%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO226^5 : 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 : n006.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 09:12:16 AM UTC 2026 % Result : Theorem 0.53s 0.75s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO226^5 : 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 : n006.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 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:00:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.53/0.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.75 % SZS status Theorem % 0.53/0.75 % SZS output start Proof % 0.53/0.75 ( % 0.53/0.75 (declare-sort $$unsorted 0) % 0.53/0.75 (define @t1 () (@var "Y" $$unsorted)) % 0.53/0.75 (define @t2 () (@var "X" $$unsorted)) % 0.53/0.75 (define @t3 () (= @t2 @t1)) % 0.53/0.75 (define @t4 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.53/0.75 (define @t5 () (_ (_ @t4 @t2) @t1)) % 0.53/0.75 (define @t6 () (@var "Z" $$unsorted)) % 0.53/0.75 (define @t7 () (_ (_ @t4 @t6) @t6)) % 0.53/0.75 (define @t8 () (@list @t6)) % 0.53/0.75 (define @t9 () (forall @t8 @t7)) % 0.53/0.75 (define @t10 () (=> @t9 @t5)) % 0.53/0.75 (define @t11 () (@list @t4)) % 0.53/0.75 (define @t12 () (forall @t11 @t10)) % 0.53/0.75 (define @t13 () (=> @t12 @t3)) % 0.53/0.75 (define @t14 () (@list @t2 @t1)) % 0.53/0.75 (define @t15 () (forall @t14 @t13)) % 0.53/0.75 (define @t16 () (not @t15)) % 0.53/0.75 (define @t17 () (_ @t4 @t2 @t1)) % 0.53/0.75 (define @t18 () (_ @t4 @t6 @t6)) % 0.53/0.75 (define @t19 () (forall @t8 @t18)) % 0.53/0.75 (define @t20 () (not @t19)) % 0.53/0.75 (define @t21 () (forall @t11 (or @t20 @t17))) % 0.53/0.75 (define @t22 () (or @t20 @t5)) % 0.53/0.75 (define @t23 () (forall @t14 (or (not @t21) @t3))) % 0.53/0.75 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.53/0.75 (define @t25 () (@quantifiers_skolemize @t23 0)) % 0.53/0.75 (define @t26 () (forall @t11 (or @t20 (_ @t4 @t25 @t24)))) % 0.53/0.75 (define @t27 () (= @t25 @t24)) % 0.53/0.75 (define @t28 () (not @t26)) % 0.53/0.75 (define @t29 () (or @t28 @t27)) % 0.53/0.75 (define @t30 () (@list true)) % 0.53/0.75 (define @t31 () (@list @t29)) % 0.53/0.75 (define @t32 () (@var "BOUND_VARIABLE_51091" $$unsorted)) % 0.53/0.75 (define @t33 () (@var "BOUND_VARIABLE_51090" $$unsorted)) % 0.53/0.75 (define @t34 () (lambda (@list @t33 @t32) (= @t33 @t32))) % 0.53/0.75 (define @t35 () (_ @t34 @t25 @t24)) % 0.53/0.75 (define @t36 () (_ @t34 @t6 @t6)) % 0.53/0.75 (define @t37 () (forall @t8 @t36)) % 0.53/0.75 (define @t38 () (not @t37)) % 0.53/0.75 (define @t39 () (or @t38 @t35)) % 0.53/0.75 (assume @p1 @t16) % 0.53/0.75 (assume @p2 true) % 0.53/0.75 (step @p3 :rule bool-impl-elim :args (@t21 @t3)) % 0.53/0.75 (step @p4 :rule cong :premises (@p3) :args ((forall @t14 (=> @t21 @t3)))) % 0.53/0.75 (step @p5 :rule refl :args (@t3)) % 0.53/0.75 (step @p6 :rule refl :args (@t17)) % 0.53/0.75 (step @p7 :rule refl :args (@t5)) % 0.53/0.75 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t17))) % 0.53/0.75 (step @p9 :rule symm :premises (@p8)) % 0.53/0.75 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.53/0.75 (step @p11 :rule refl :args (@t20)) % 0.53/0.75 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t22)) % 0.53/0.75 (step @p13 :rule cong :premises (@p12) :args ((forall @t11 @t22))) % 0.53/0.75 (step @p14 :rule bool-impl-elim :args (@t19 @t5)) % 0.53/0.75 (step @p15 :rule cong :premises (@p14) :args ((forall @t11 (=> @t19 @t5)))) % 0.53/0.75 (step @p16 :rule trans :premises (@p15 @p13)) % 0.53/0.75 (step @p17 :rule refl :args (@t5)) % 0.53/0.75 (step @p18 :rule refl :args (@t18)) % 0.53/0.75 (step @p19 :rule refl :args (@t7)) % 0.53/0.75 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t7 @t18))) % 0.53/0.75 (step @p21 :rule symm :premises (@p20)) % 0.53/0.75 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.53/0.75 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 0.53/0.75 (step @p24 :rule cong :premises (@p23 @p17) :args (@t10)) % 0.53/0.75 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.53/0.75 (step @p26 :rule trans :premises (@p25 @p16)) % 0.53/0.75 (step @p27 :rule cong :premises (@p26 @p5) :args (@t13)) % 0.53/0.75 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.53/0.75 (step @p29 :rule trans :premises (@p28 @p4)) % 0.53/0.75 (step @p30 :rule cong :premises (@p29) :args (@t16)) % 0.53/0.75 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.53/0.75 (step @p32 :rule skolemize :premises (@p31)) % 0.53/0.75 (step @p33 :rule bool-double-not-elim :args (@t26)) % 0.53/0.75 (step @p34 :rule refl :args (@t29)) % 0.53/0.75 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t29 (not @t28)))) % 0.53/0.75 (step @p36 :rule cnf_or_neg :args (@t29 0)) % 0.53/0.75 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.53/0.75 (step @p38 :rule reordering :premises (@p37) :args ((or @t26 @t29))) % 0.53/0.75 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t26 @t30 @t31)) % 0.53/0.75 (step @p40 :rule cnf_or_neg :args (@t29 1)) % 0.53/0.75 (step @p41 :rule chain_m_resolution :premises (@p40 @p32) :args ((not @t27) @t30 @t31)) % 0.53/0.75 (step @p42 :rule aci_norm :args ((= (or false @t27) @t27))) % 0.53/0.75 (step @p43 :rule beta-reduce :args ((= @t35 @t27))) % 0.53/0.75 (step @p44 :rule evaluate :args ((not true))) % 0.53/0.75 (step @p45 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.53/0.75 (step @p46 :rule eq-refl :args (@t6)) % 0.53/0.75 (step @p47 :rule beta-reduce :args ((= @t36 (= @t6 @t6)))) % 0.53/0.75 (step @p48 :rule trans :premises (@p47 @p46)) % 0.53/0.75 (step @p49 :rule cong :premises (@p48) :args (@t37)) % 0.53/0.75 (step @p50 :rule trans :premises (@p49 @p45)) % 0.53/0.75 (step @p51 :rule cong :premises (@p50) :args (@t38)) % 0.53/0.75 (step @p52 :rule trans :premises (@p51 @p44)) % 0.53/0.75 (step @p53 :rule nary_cong :premises (@p52 @p43) :args (@t39)) % 0.53/0.75 (step @p54 :rule trans :premises (@p53 @p42)) % 0.53/0.75 (step @p55 :rule refl :args (@t26)) % 0.53/0.75 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t26 @t39))) % 0.53/0.75 (assume-push @p64 @t26) % 0.53/0.75 (step @p58 :rule instantiate :premises (@p39) :args ((@list @t34))) % 0.53/0.75 (step-pop @p65 :rule scope :premises (@p58)) % 0.53/0.75 (step @p59 :rule process_scope :premises (@p65) :args (@t39)) % 0.53/0.75 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.53/0.75 (step @p62 :rule implies_elim :premises (@p61)) % 0.53/0.75 (step @p63 false :rule chain_m_resolution :premises (@p62 @p41 @p39) :args (false (@list true false) (@list @t27 @t26))) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------