%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO193^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:12:12 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO193^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.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 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 00:01:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.39/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (define @t1 () (@var "Xp" (-> Bool Bool))) % 0.39/0.61 (define @t2 () (@var "Xq" (-> (-> Bool Bool) Bool))) % 0.39/0.61 (define @t3 () (_ @t2 @t1)) % 0.39/0.61 (define @t4 () (@list @t1)) % 0.39/0.61 (define @t5 () (exists @t4 @t3)) % 0.39/0.61 (define @t6 () (not @t5)) % 0.39/0.61 (define @t7 () (@list @t2)) % 0.39/0.61 (define @t8 () (forall @t7 @t6)) % 0.39/0.61 (define @t9 () (_ @t2 @t1)) % 0.39/0.61 (define @t10 () (not @t9)) % 0.39/0.61 (define @t11 () (forall (@list @t2 @t1) @t10)) % 0.39/0.61 (define @t12 () (forall @t4 @t10)) % 0.39/0.61 (define @t13 () (not @t3)) % 0.39/0.61 (define @t14 () (forall @t4 @t13)) % 0.39/0.61 (define @t15 () (not @t14)) % 0.39/0.61 (define @t16 () (not true)) % 0.39/0.61 (define @t17 () (@var "BOUND_VARIABLE_21676" Bool)) % 0.39/0.61 (define @t18 () (= @t17 false)) % 0.39/0.61 (define @t19 () (ite @t18 false true)) % 0.39/0.61 (define @t20 () (@list @t17)) % 0.39/0.61 (define @t21 () (lambda @t20 @t19)) % 0.39/0.61 (define @t22 () (lambda (@list (@var "BOUND_VARIABLE_14465" (-> Bool Bool))) true)) % 0.39/0.61 (define @t23 () (= false @t17)) % 0.39/0.61 (define @t24 () (@var "BOUND_VARIABLE_14623" Bool)) % 0.39/0.61 (define @t25 () (lambda (@list @t24) @t24)) % 0.39/0.61 (define @t26 () (_ @t22 @t25)) % 0.39/0.61 (define @t27 () (not @t26)) % 0.39/0.61 (assume @p1 (not (not @t8))) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule quant-merge-prenex :args ((= (forall @t7 @t12) @t11))) % 0.39/0.61 (step @p4 :rule bool-double-not-elim :args (@t12)) % 0.39/0.61 (step @p5 :rule refl :args (@t9)) % 0.39/0.61 (step @p6 :rule refl :args (@t3)) % 0.39/0.61 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t9))) % 0.39/0.61 (step @p8 :rule symm :premises (@p7)) % 0.39/0.61 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.39/0.61 (step @p10 :rule cong :premises (@p9) :args (@t13)) % 0.39/0.61 (step @p11 :rule cong :premises (@p10) :args (@t14)) % 0.39/0.61 (step @p12 :rule cong :premises (@p11) :args (@t15)) % 0.39/0.61 (step @p13 :rule exists-elim :args ((= @t5 @t15))) % 0.39/0.61 (step @p14 :rule trans :premises (@p13 @p12)) % 0.39/0.61 (step @p15 :rule cong :premises (@p14) :args (@t6)) % 0.39/0.61 (step @p16 :rule trans :premises (@p15 @p4)) % 0.39/0.61 (step @p17 :rule cong :premises (@p16) :args (@t8)) % 0.39/0.61 (step @p18 :rule trans :premises (@p17 @p3)) % 0.39/0.61 (step @p19 :rule bool-double-not-elim :args (@t8)) % 0.39/0.61 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.61 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.39/0.61 (step @p22 :rule bool-impl-false1 :args (@t11)) % 0.39/0.61 (step @p23 :rule evaluate :args (@t16)) % 0.39/0.61 (step @p24 :rule beta-reduce :args ((= (_ @t22 @t21) true))) % 0.39/0.61 (step @p25 :rule refl :args (@t21)) % 0.39/0.61 (step @p26 :rule symm :premises (@p25)) % 0.39/0.61 (step @p27 :rule eq-symm :args (false @t17)) % 0.39/0.61 (step @p28 :rule true_intro :premises (@p27)) % 0.39/0.61 (step @p29 :rule eq-symm :args (@t18 @t23)) % 0.39/0.61 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.61 (step @p31 :rule refl :args (@t17)) % 0.39/0.61 (step @p32 :rule evaluate :args (@t16)) % 0.39/0.61 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t16 @t17))) % 0.39/0.61 (step @p34 :rule bool-not-eq-elim1 :args (true @t17)) % 0.39/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.61 (step @p36 :rule ite-neg-branch :premises (@p35) :args (@t18 @t23 (= true @t17))) % 0.39/0.61 (step @p37 :rule trans :premises (@p36 @p30)) % 0.39/0.61 (step @p38 :rule eq-ite-lift :args (@t18 false true @t17)) % 0.39/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.39/0.61 (step @p40 :rule eq-symm :args (@t17 @t19)) % 0.39/0.61 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.61 (step @p42 :rule true_elim :premises (@p41)) % 0.39/0.61 (step @p43 :rule cong :premises (@p42) :args ((lambda @t20 @t17))) % 0.39/0.61 (step @p44 :rule alpha_equiv :args (@t25 (@list @t24) (@list @t17))) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.61 (step @p46 :rule trans :premises (@p45 @p26)) % 0.39/0.61 (step @p47 :rule cong :premises (@p46) :args (@t26)) % 0.39/0.61 (step @p48 :rule trans :premises (@p47 @p24)) % 0.39/0.61 (step @p49 :rule cong :premises (@p48) :args (@t27)) % 0.39/0.61 (step @p50 :rule trans :premises (@p49 @p23)) % 0.39/0.61 (step @p51 :rule refl :args (@t11)) % 0.39/0.61 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t11 @t27))) % 0.39/0.61 (step @p53 :rule trans :premises (@p52 @p22)) % 0.39/0.61 (assume-push @p60 @t11) % 0.39/0.61 (step @p55 :rule instantiate :premises (@p21) :args ((@list @t22 @t25))) % 0.39/0.61 (step-pop @p61 :rule scope :premises (@p55)) % 0.39/0.61 (step @p56 :rule process_scope :premises (@p61) :args (@t27)) % 0.39/0.61 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.39/0.61 (step @p59 false :rule chain_m_resolution :premises (@p58 @p21) :args (false (@list false) (@list @t11))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------