%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO032^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:11:49 AM UTC 2026 % Result : Theorem 0.53s 0.77s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO032^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:50:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.53/0.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.77 % SZS status Theorem % 0.53/0.77 % SZS output start Proof % 0.53/0.77 ( % 0.53/0.77 (define @t1 () (@var "Q" Bool)) % 0.53/0.77 (define @t2 () (@var "P" Bool)) % 0.53/0.77 (define @t3 () (or @t2 @t1)) % 0.53/0.77 (define @t4 () (@var "D" (-> Bool Bool Bool))) % 0.53/0.77 (define @t5 () (_ (_ @t4 @t2) @t1)) % 0.53/0.77 (define @t6 () (= @t5 @t3)) % 0.53/0.77 (define @t7 () (@list @t2 @t1)) % 0.53/0.77 (define @t8 () (forall @t7 @t6)) % 0.53/0.77 (define @t9 () (@list @t4)) % 0.53/0.77 (define @t10 () (exists @t9 @t8)) % 0.53/0.77 (define @t11 () (not @t10)) % 0.53/0.77 (define @t12 () (_ @t4 @t2 @t1)) % 0.53/0.77 (define @t13 () (forall @t7 (= @t3 @t12))) % 0.53/0.77 (define @t14 () (forall @t9 (not @t13))) % 0.53/0.77 (define @t15 () (= @t1 false)) % 0.53/0.77 (define @t16 () (not @t15)) % 0.53/0.77 (define @t17 () (= @t2 false)) % 0.53/0.77 (define @t18 () (not @t17)) % 0.53/0.77 (define @t19 () (ite @t15 false true)) % 0.53/0.77 (define @t20 () (@var "BOUND_VARIABLE_64151" Bool)) % 0.53/0.77 (define @t21 () (@var "BOUND_VARIABLE_64149" Bool)) % 0.53/0.77 (define @t22 () (lambda (@list @t21 @t20) (ite (= @t21 false) (ite (= @t20 false) false true) true))) % 0.53/0.77 (define @t23 () (_ @t22 @t2 @t1)) % 0.53/0.77 (define @t24 () (= @t3 @t23)) % 0.53/0.77 (define @t25 () (forall @t7 @t24)) % 0.53/0.77 (define @t26 () (not @t25)) % 0.53/0.77 (assume @p1 @t11) % 0.53/0.77 (assume @p2 true) % 0.53/0.77 (step @p3 :rule bool-double-not-elim :args (@t14)) % 0.53/0.77 (step @p4 :rule exists-elim :args ((= (exists @t9 @t13) (not @t14)))) % 0.53/0.77 (step @p5 :rule eq-symm :args (@t12 @t3)) % 0.53/0.77 (step @p6 :rule cong :premises (@p5) :args ((forall @t7 (= @t12 @t3)))) % 0.53/0.77 (step @p7 :rule refl :args (@t3)) % 0.53/0.77 (step @p8 :rule refl :args (@t12)) % 0.53/0.77 (step @p9 :rule refl :args (@t5)) % 0.53/0.77 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t12))) % 0.53/0.77 (step @p11 :rule symm :premises (@p10)) % 0.53/0.77 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.53/0.77 (step @p13 :rule cong :premises (@p12 @p7) :args (@t6)) % 0.53/0.77 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.53/0.77 (step @p15 :rule trans :premises (@p14 @p6)) % 0.53/0.77 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.53/0.77 (step @p17 :rule trans :premises (@p16 @p4)) % 0.53/0.77 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.53/0.77 (step @p19 :rule trans :premises (@p18 @p3)) % 0.53/0.77 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.53/0.77 (step @p21 :rule bool-impl-false1 :args (@t14)) % 0.53/0.77 (step @p22 :rule evaluate :args ((not true))) % 0.53/0.77 (step @p23 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 0.53/0.77 (step @p24 :rule eq-refl :args (@t3)) % 0.53/0.77 (step @p25 :rule bool-double-not-elim :args (@t1)) % 0.53/0.77 (step @p26 :rule bool-eq-false :args (@t1)) % 0.53/0.77 (step @p27 :rule cong :premises (@p26) :args (@t16)) % 0.53/0.77 (step @p28 :rule trans :premises (@p27 @p25)) % 0.53/0.77 (step @p29 :rule aci_norm :args ((= (and @t16 true) @t16))) % 0.53/0.77 (step @p30 :rule ite-then-false :args (@t15 true)) % 0.53/0.77 (step @p31 :rule trans :premises (@p30 @p29)) % 0.53/0.77 (step @p32 :rule trans :premises (@p31 @p28)) % 0.53/0.77 (step @p33 :rule bool-double-not-elim :args (@t2)) % 0.53/0.77 (step @p34 :rule bool-eq-false :args (@t2)) % 0.53/0.77 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 0.53/0.77 (step @p36 :rule trans :premises (@p35 @p33)) % 0.53/0.77 (step @p37 :rule nary_cong :premises (@p36 @p32) :args ((or @t18 @t19))) % 0.53/0.77 (step @p38 :rule ite-else-true :args (@t17 @t19)) % 0.53/0.77 (step @p39 :rule trans :premises (@p38 @p37)) % 0.53/0.77 (step @p40 :rule beta-reduce :args ((= @t23 (ite @t17 @t19 true)))) % 0.53/0.77 (step @p41 :rule trans :premises (@p40 @p39)) % 0.53/0.77 (step @p42 :rule refl :args (@t3)) % 0.53/0.77 (step @p43 :rule cong :premises (@p42 @p41) :args (@t24)) % 0.53/0.77 (step @p44 :rule trans :premises (@p43 @p24)) % 0.53/0.77 (step @p45 :rule cong :premises (@p44) :args (@t25)) % 0.53/0.77 (step @p46 :rule trans :premises (@p45 @p23)) % 0.53/0.77 (step @p47 :rule cong :premises (@p46) :args (@t26)) % 0.53/0.77 (step @p48 :rule trans :premises (@p47 @p22)) % 0.53/0.77 (step @p49 :rule refl :args (@t14)) % 0.53/0.77 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t14 @t26))) % 0.53/0.77 (step @p51 :rule trans :premises (@p50 @p21)) % 0.53/0.77 (assume-push @p58 @t14) % 0.53/0.77 (step @p53 :rule instantiate :premises (@p20) :args ((@list @t22))) % 0.53/0.77 (step-pop @p59 :rule scope :premises (@p53)) % 0.53/0.77 (step @p54 :rule process_scope :premises (@p59) :args (@t26)) % 0.53/0.77 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.53/0.77 (step @p57 false :rule chain_m_resolution :premises (@p56 @p20) :args (false (@list false) (@list @t14))) % 0.53/0.77 ) % 0.53/0.77 % SZS output end Proof % 0.53/0.77 % cvc5 exiting %------------------------------------------------------------------------------