%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO199^5 : 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 : n018.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 09:12:13 AM UTC 2026 % Result : Theorem 0.39s 0.63s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO199^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.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 00:00:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.63 % SZS status Theorem % 0.39/0.63 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (define @t1 () (@var "Xy" Bool)) % 0.39/0.63 (define @t2 () (@var "Xp" (-> Bool Bool))) % 0.39/0.63 (define @t3 () (_ @t2 @t1)) % 0.39/0.63 (define @t4 () (@var "Xx" Bool)) % 0.39/0.63 (define @t5 () (_ @t2 @t4)) % 0.39/0.63 (define @t6 () (@list @t4 @t1)) % 0.39/0.63 (define @t7 () (forall @t6 (and @t5 @t3))) % 0.39/0.63 (define @t8 () (@list @t2)) % 0.39/0.63 (define @t9 () (exists @t8 @t7)) % 0.39/0.63 (define @t10 () (not @t9)) % 0.39/0.63 (define @t11 () (@var "BOUND_VARIABLE_7427" Bool)) % 0.39/0.63 (define @t12 () (_ @t2 @t11)) % 0.39/0.63 (define @t13 () (@list @t11)) % 0.39/0.63 (define @t14 () (forall @t13 @t12)) % 0.39/0.63 (define @t15 () (@var "BOUND_VARIABLE_7418" Bool)) % 0.39/0.63 (define @t16 () (_ @t2 @t15)) % 0.39/0.63 (define @t17 () (@list @t15)) % 0.39/0.63 (define @t18 () (forall @t17 @t16)) % 0.39/0.63 (define @t19 () (forall @t8 (or (not @t18) (not @t14)))) % 0.39/0.63 (define @t20 () (and @t18 @t14)) % 0.39/0.63 (define @t21 () (forall @t8 (not @t20))) % 0.39/0.63 (define @t22 () (not @t21)) % 0.39/0.63 (define @t23 () (_ @t2 @t11)) % 0.39/0.63 (define @t24 () (forall @t13 @t23)) % 0.39/0.63 (define @t25 () (@var "BOUND_VARIABLE_7425" Bool)) % 0.39/0.63 (define @t26 () (forall (@list @t25 @t11) @t23)) % 0.39/0.63 (define @t27 () (_ @t2 @t15)) % 0.39/0.63 (define @t28 () (forall @t17 @t27)) % 0.39/0.63 (define @t29 () (@var "BOUND_VARIABLE_7420" Bool)) % 0.39/0.63 (define @t30 () (forall (@list @t15 @t29) @t27)) % 0.39/0.63 (define @t31 () (forall @t6 @t3)) % 0.39/0.63 (define @t32 () (@list @t4 @t1)) % 0.39/0.63 (define @t33 () (forall @t6 @t5)) % 0.39/0.63 (define @t34 () (and @t33 @t31)) % 0.39/0.63 (define @t35 () (lambda (@list (@var "BOUND_VARIABLE_28679" Bool)) true)) % 0.39/0.63 (define @t36 () (_ @t35 @t11)) % 0.39/0.63 (define @t37 () (forall @t13 @t36)) % 0.39/0.63 (define @t38 () (not @t37)) % 0.39/0.63 (define @t39 () (_ @t35 @t15)) % 0.39/0.63 (define @t40 () (forall @t17 @t39)) % 0.39/0.63 (define @t41 () (not @t40)) % 0.39/0.63 (define @t42 () (or @t41 @t38)) % 0.39/0.63 (assume @p1 @t10) % 0.39/0.63 (assume @p2 true) % 0.39/0.63 (step @p3 :rule bool-double-not-elim :args (@t19)) % 0.39/0.63 (step @p4 :rule bool-and-de-morgan :args (@t18 @t14 true)) % 0.39/0.63 (step @p5 :rule cong :premises (@p4) :args (@t21)) % 0.39/0.63 (step @p6 :rule cong :premises (@p5) :args (@t22)) % 0.39/0.63 (step @p7 :rule exists-elim :args ((= (exists @t8 @t20) @t22))) % 0.39/0.63 (step @p8 :rule trans :premises (@p7 @p6)) % 0.39/0.63 (step @p9 :rule refl :args (@t12)) % 0.39/0.63 (step @p10 :rule refl :args (@t23)) % 0.39/0.63 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t23 @t12))) % 0.39/0.63 (step @p12 :rule symm :premises (@p11)) % 0.39/0.63 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.63 (step @p14 :rule cong :premises (@p13) :args (@t24)) % 0.39/0.63 (step @p15 :rule quant-unused-vars :args ((= @t26 @t24))) % 0.39/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.63 (step @p17 :rule refl :args (@t16)) % 0.39/0.63 (step @p18 :rule refl :args (@t27)) % 0.39/0.63 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t27 @t16))) % 0.39/0.63 (step @p20 :rule symm :premises (@p19)) % 0.39/0.63 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.39/0.63 (step @p22 :rule cong :premises (@p21) :args (@t28)) % 0.39/0.63 (step @p23 :rule quant-unused-vars :args ((= @t30 @t28))) % 0.39/0.63 (step @p24 :rule trans :premises (@p23 @p22)) % 0.39/0.63 (step @p25 :rule nary_cong :premises (@p24 @p16) :args ((and @t30 @t26))) % 0.39/0.63 (step @p26 :rule alpha_equiv :args (@t31 @t32 (@list @t25 @t11))) % 0.39/0.63 (step @p27 :rule alpha_equiv :args (@t33 @t32 (@list @t15 @t29))) % 0.39/0.63 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t34)) % 0.39/0.63 (step @p29 :rule quant-miniscope-and :args ((= @t7 @t34))) % 0.39/0.63 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.63 (step @p31 :rule trans :premises (@p30 @p25)) % 0.39/0.63 (step @p32 :rule cong :premises (@p31) :args (@t9)) % 0.39/0.63 (step @p33 :rule trans :premises (@p32 @p8)) % 0.39/0.63 (step @p34 :rule cong :premises (@p33) :args (@t10)) % 0.39/0.63 (step @p35 :rule trans :premises (@p34 @p3)) % 0.39/0.63 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.39/0.63 (step @p37 :rule bool-impl-false1 :args (@t19)) % 0.39/0.63 (step @p38 :rule evaluate :args ((or false false))) % 0.39/0.63 (step @p39 :rule evaluate :args ((not true))) % 0.39/0.63 (step @p40 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.39/0.63 (step @p41 :rule beta-reduce :args ((= @t36 true))) % 0.39/0.63 (step @p42 :rule cong :premises (@p41) :args (@t37)) % 0.39/0.63 (step @p43 :rule trans :premises (@p42 @p40)) % 0.39/0.63 (step @p44 :rule cong :premises (@p43) :args (@t38)) % 0.39/0.63 (step @p45 :rule trans :premises (@p44 @p39)) % 0.39/0.63 (step @p46 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.39/0.63 (step @p47 :rule beta-reduce :args ((= @t39 true))) % 0.35/0.63 (step @p48 :rule cong :premises (@p47) :args (@t40)) % 0.35/0.63 (step @p49 :rule trans :premises (@p48 @p46)) % 0.35/0.63 (step @p50 :rule cong :premises (@p49) :args (@t41)) % 0.35/0.63 (step @p51 :rule trans :premises (@p50 @p39)) % 0.35/0.63 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t42)) % 0.35/0.63 (step @p53 :rule trans :premises (@p52 @p38)) % 0.35/0.63 (step @p54 :rule refl :args (@t19)) % 0.35/0.63 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t19 @t42))) % 0.35/0.63 (step @p56 :rule trans :premises (@p55 @p37)) % 0.35/0.63 (assume-push @p63 @t19) % 0.35/0.63 (step @p58 :rule instantiate :premises (@p36) :args ((@list @t35))) % 0.35/0.63 (step-pop @p64 :rule scope :premises (@p58)) % 0.35/0.63 (step @p59 :rule process_scope :premises (@p64) :args (@t42)) % 0.35/0.63 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.35/0.63 (step @p62 false :rule chain_m_resolution :premises (@p61 @p36) :args (false (@list false) (@list @t19))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------