%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO031^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO031^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 23:51:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TH0 % 0.15/0.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (define @t1 () (@var "X" Bool)) % 0.15/0.39 (define @t2 () (@var "F" (-> Bool Bool))) % 0.15/0.39 (define @t3 () (_ @t2 @t1)) % 0.15/0.39 (define @t4 () (@list @t1)) % 0.15/0.39 (define @t5 () (exists @t4 (= @t3 @t1))) % 0.15/0.39 (define @t6 () (@list @t2)) % 0.15/0.39 (define @t7 () (forall @t6 @t5)) % 0.15/0.39 (define @t8 () (_ @t2 @t1)) % 0.15/0.39 (define @t9 () (not @t1)) % 0.15/0.39 (define @t10 () (= @t3 @t9)) % 0.15/0.39 (define @t11 () (= @t1 @t3)) % 0.15/0.39 (define @t12 () (forall @t4 (not @t11))) % 0.15/0.39 (define @t13 () (not @t12)) % 0.15/0.39 (define @t14 () (forall @t6 (not (forall @t4 (= @t9 @t8))))) % 0.15/0.39 (define @t15 () (= @t1 true)) % 0.15/0.39 (define @t16 () (not @t15)) % 0.15/0.39 (define @t17 () (@var "BOUND_VARIABLE_21636" Bool)) % 0.15/0.39 (define @t18 () (lambda (@list @t17) (ite (= @t17 true) false true))) % 0.15/0.39 (define @t19 () (_ @t18 @t1)) % 0.15/0.39 (define @t20 () (= @t9 @t19)) % 0.15/0.39 (define @t21 () (forall @t4 @t20)) % 0.15/0.39 (define @t22 () (not @t21)) % 0.15/0.39 (assume @p1 (not (not @t7))) % 0.15/0.39 (assume @p2 true) % 0.15/0.39 (step @p3 :rule eq-symm :args (@t8 @t9)) % 0.15/0.39 (step @p4 :rule cong :premises (@p3) :args ((forall @t4 (= @t8 @t9)))) % 0.15/0.39 (step @p5 :rule refl :args (@t9)) % 0.15/0.39 (step @p6 :rule refl :args (@t8)) % 0.15/0.39 (step @p7 :rule refl :args (@t3)) % 0.15/0.39 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t8))) % 0.15/0.39 (step @p9 :rule symm :premises (@p8)) % 0.15/0.39 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.15/0.39 (step @p11 :rule cong :premises (@p10 @p5) :args (@t10)) % 0.15/0.39 (step @p12 :rule cong :premises (@p11) :args ((forall @t4 @t10))) % 0.15/0.39 (step @p13 :rule trans :premises (@p12 @p4)) % 0.15/0.39 (step @p14 :rule eq-symm :args (@t9 @t3)) % 0.15/0.39 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 (= @t9 @t3)))) % 0.15/0.39 (step @p16 :rule trans :premises (@p15 @p13)) % 0.15/0.39 (step @p17 :rule bool-not-eq-elim1 :args (@t1 @t3)) % 0.15/0.39 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.15/0.39 (step @p19 :rule trans :premises (@p18 @p16)) % 0.15/0.39 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.15/0.39 (step @p21 :rule exists-elim :args ((= (exists @t4 @t11) @t13))) % 0.15/0.39 (step @p22 :rule trans :premises (@p21 @p20)) % 0.15/0.39 (step @p23 :rule eq-symm :args (@t3 @t1)) % 0.15/0.39 (step @p24 :rule cong :premises (@p23) :args (@t5)) % 0.15/0.39 (step @p25 :rule trans :premises (@p24 @p22)) % 0.15/0.39 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 0.15/0.39 (step @p27 :rule bool-double-not-elim :args (@t7)) % 0.15/0.39 (step @p28 :rule trans :premises (@p27 @p26)) % 0.15/0.39 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.15/0.39 (step @p30 :rule bool-impl-false1 :args (@t14)) % 0.15/0.39 (step @p31 :rule evaluate :args ((not true))) % 0.15/0.39 (step @p32 :rule quant-unused-vars :args ((= (forall @t4 true) true))) % 0.15/0.39 (step @p33 :rule eq-refl :args (@t9)) % 0.15/0.39 (step @p34 :rule bool-eq-true :args (@t1)) % 0.15/0.39 (step @p35 :rule cong :premises (@p34) :args (@t16)) % 0.15/0.39 (step @p36 :rule aci_norm :args ((= (and @t16 true) @t16))) % 0.15/0.39 (step @p37 :rule ite-then-false :args (@t15 true)) % 0.15/0.39 (step @p38 :rule trans :premises (@p37 @p36)) % 0.15/0.39 (step @p39 :rule trans :premises (@p38 @p35)) % 0.15/0.39 (step @p40 :rule beta-reduce :args ((= @t19 (ite @t15 false true)))) % 0.15/0.39 (step @p41 :rule trans :premises (@p40 @p39)) % 0.15/0.39 (step @p42 :rule refl :args (@t9)) % 0.15/0.39 (step @p43 :rule cong :premises (@p42 @p41) :args (@t20)) % 0.15/0.39 (step @p44 :rule trans :premises (@p43 @p33)) % 0.15/0.39 (step @p45 :rule cong :premises (@p44) :args (@t21)) % 0.15/0.39 (step @p46 :rule trans :premises (@p45 @p32)) % 0.15/0.39 (step @p47 :rule cong :premises (@p46) :args (@t22)) % 0.15/0.39 (step @p48 :rule trans :premises (@p47 @p31)) % 0.15/0.39 (step @p49 :rule refl :args (@t14)) % 0.15/0.39 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t14 @t22))) % 0.15/0.39 (step @p51 :rule trans :premises (@p50 @p30)) % 0.15/0.39 (assume-push @p58 @t14) % 0.15/0.39 (step @p53 :rule instantiate :premises (@p29) :args ((@list @t18))) % 0.15/0.39 (step-pop @p59 :rule scope :premises (@p53)) % 0.15/0.39 (step @p54 :rule process_scope :premises (@p59) :args (@t22)) % 0.15/0.39 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.15/0.39 (step @p57 false :rule chain_m_resolution :premises (@p56 @p29) :args (false (@list false) (@list @t14))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------