%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO253^5 : 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 : n024.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 09:12:19 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SYO253^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.26 % Computer : n024.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 300 % 0.07/0.26 % DateTime : Tue Jun 2 19:01:30 EDT 2026 % 0.07/0.26 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-const tptp.p Bool) % 0.15/0.38 (define @t1 () (not tptp.p)) % 0.15/0.38 (define @t2 () (or tptp.p @t1)) % 0.15/0.38 (define @t3 () (@var "Xf" (-> Bool Bool))) % 0.15/0.38 (define @t4 () (_ @t3 @t2)) % 0.15/0.38 (define @t5 () (not @t4)) % 0.15/0.38 (define @t6 () (and tptp.p @t1)) % 0.15/0.38 (define @t7 () (_ @t3 @t6)) % 0.15/0.38 (define @t8 () (and @t7 @t5)) % 0.15/0.38 (define @t9 () (@list @t3)) % 0.15/0.38 (define @t10 () (exists @t9 @t8)) % 0.15/0.38 (define @t11 () (not @t10)) % 0.15/0.38 (define @t12 () (_ @t3 @t2)) % 0.15/0.38 (define @t13 () (_ @t3 @t6)) % 0.15/0.38 (define @t14 () (forall @t9 (or (not @t13) @t12))) % 0.15/0.38 (define @t15 () (not @t7)) % 0.15/0.38 (define @t16 () (or @t15 @t4)) % 0.15/0.38 (define @t17 () (forall @t9 (not @t8))) % 0.15/0.38 (define @t18 () (not @t17)) % 0.15/0.38 (define @t19 () (= @t2 true)) % 0.15/0.38 (define @t20 () (not @t19)) % 0.15/0.38 (define @t21 () (@var "BOUND_VARIABLE_14500" Bool)) % 0.15/0.38 (define @t22 () (lambda (@list @t21) (ite (= @t21 true) false true))) % 0.15/0.38 (define @t23 () (_ @t22 @t2)) % 0.15/0.38 (define @t24 () (= @t6 true)) % 0.15/0.38 (define @t25 () (not @t24)) % 0.15/0.38 (define @t26 () (_ @t22 @t6)) % 0.15/0.38 (define @t27 () (not @t26)) % 0.15/0.38 (define @t28 () (or @t27 @t23)) % 0.15/0.38 (define @t29 () (not @t2)) % 0.15/0.38 (define @t30 () (or @t6 @t29)) % 0.15/0.38 (define @t31 () (not @t6)) % 0.15/0.38 (define @t32 () (@list true)) % 0.15/0.38 (define @t33 () (@list tptp.p)) % 0.15/0.38 (assume @p1 @t11) % 0.15/0.38 (assume @p2 true) % 0.15/0.38 (step @p3 :rule bool-double-not-elim :args (@t14)) % 0.15/0.38 (step @p4 :rule refl :args (@t12)) % 0.15/0.38 (step @p5 :rule refl :args (@t4)) % 0.15/0.38 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t12))) % 0.15/0.38 (step @p7 :rule symm :premises (@p6)) % 0.15/0.38 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.15/0.38 (step @p9 :rule refl :args (@t13)) % 0.15/0.38 (step @p10 :rule refl :args (@t7)) % 0.15/0.38 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t7 @t13))) % 0.15/0.38 (step @p12 :rule symm :premises (@p11)) % 0.15/0.38 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.15/0.38 (step @p14 :rule cong :premises (@p13) :args (@t15)) % 0.15/0.38 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t16)) % 0.15/0.38 (step @p16 :rule cong :premises (@p15) :args ((forall @t9 @t16))) % 0.15/0.38 (step @p17 :rule bool-double-not-elim :args (@t4)) % 0.15/0.39 (step @p18 :rule refl :args (@t15)) % 0.15/0.39 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t15 (not @t5)))) % 0.15/0.39 (step @p20 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.15/0.39 (step @p21 :rule trans :premises (@p20 @p19)) % 0.15/0.39 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.15/0.39 (step @p23 :rule trans :premises (@p22 @p16)) % 0.15/0.39 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.15/0.39 (step @p25 :rule exists-elim :args ((= @t10 @t18))) % 0.15/0.39 (step @p26 :rule trans :premises (@p25 @p24)) % 0.15/0.39 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 0.15/0.39 (step @p28 :rule trans :premises (@p27 @p3)) % 0.15/0.39 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.15/0.39 (step @p30 :rule bool-eq-true :args (@t2)) % 0.15/0.39 (step @p31 :rule cong :premises (@p30) :args (@t20)) % 0.15/0.39 (step @p32 :rule aci_norm :args ((= (and @t20 true) @t20))) % 0.15/0.39 (step @p33 :rule ite-then-false :args (@t19 true)) % 0.15/0.39 (step @p34 :rule trans :premises (@p33 @p32)) % 0.15/0.39 (step @p35 :rule trans :premises (@p34 @p31)) % 0.15/0.39 (step @p36 :rule beta-reduce :args ((= @t23 (ite @t19 false true)))) % 0.15/0.39 (step @p37 :rule trans :premises (@p36 @p35)) % 0.15/0.39 (step @p38 :rule bool-double-not-elim :args (@t6)) % 0.15/0.39 (step @p39 :rule bool-eq-true :args (@t6)) % 0.15/0.39 (step @p40 :rule cong :premises (@p39) :args (@t25)) % 0.15/0.39 (step @p41 :rule aci_norm :args ((= (and @t25 true) @t25))) % 0.15/0.39 (step @p42 :rule ite-then-false :args (@t24 true)) % 0.15/0.39 (step @p43 :rule trans :premises (@p42 @p41)) % 0.15/0.39 (step @p44 :rule trans :premises (@p43 @p40)) % 0.15/0.39 (step @p45 :rule beta-reduce :args ((= @t26 (ite @t24 false true)))) % 0.15/0.39 (step @p46 :rule trans :premises (@p45 @p44)) % 0.15/0.39 (step @p47 :rule cong :premises (@p46) :args (@t27)) % 0.15/0.39 (step @p48 :rule trans :premises (@p47 @p38)) % 0.15/0.39 (step @p49 :rule nary_cong :premises (@p48 @p37) :args (@t28)) % 0.15/0.39 (step @p50 :rule refl :args (@t14)) % 0.15/0.39 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t14 @t28))) % 0.15/0.39 (assume-push @p77 @t14) % 0.15/0.39 (step @p53 :rule instantiate :premises (@p29) :args ((@list @t22))) % 0.15/0.39 (step-pop @p78 :rule scope :premises (@p53)) % 0.15/0.39 (step @p54 :rule process_scope :premises (@p78) :args (@t28)) % 0.15/0.39 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.15/0.39 (step @p57 :rule implies_elim :premises (@p56)) % 0.15/0.39 (step @p58 :rule chain_m_resolution :premises (@p57 @p29) :args (@t30 (@list false) (@list @t14))) % 0.15/0.39 (step @p59 :rule cnf_and_pos :args (@t6 1)) % 0.15/0.39 (step @p60 :rule reordering :premises (@p59) :args ((or @t1 @t31))) % 0.15/0.39 (step @p61 :rule cnf_or_neg :args (@t2 0)) % 0.15/0.39 (step @p62 :rule reordering :premises (@p61) :args ((or @t1 @t2))) % 0.15/0.39 (step @p63 :rule cnf_or_pos :args (@t30)) % 0.15/0.39 (step @p64 :rule reordering :premises (@p63) :args ((or @t6 @t29 (not @t30)))) % 0.15/0.39 (step @p65 :rule chain_m_resolution :premises (@p64 @p58 @p62 @p60) :args (@t1 (@list false false true) (@list @t30 @t2 @t6))) % 0.15/0.39 (step @p66 :rule cnf_and_pos :args (@t6 0)) % 0.15/0.39 (step @p67 :rule reordering :premises (@p66) :args ((or tptp.p @t31))) % 0.15/0.39 (step @p68 :rule chain_m_resolution :premises (@p67 @p65) :args (@t31 @t32 @t33)) % 0.15/0.39 (step @p69 :rule bool-double-not-elim :args (tptp.p)) % 0.15/0.39 (step @p70 :rule refl :args (@t2)) % 0.15/0.39 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t2 (not @t1)))) % 0.15/0.39 (step @p72 :rule cnf_or_neg :args (@t2 1)) % 0.15/0.39 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.15/0.39 (step @p74 :rule reordering :premises (@p73) :args ((or tptp.p @t2))) % 0.15/0.39 (step @p75 :rule chain_m_resolution :premises (@p74 @p65) :args (@t2 @t32 @t33)) % 0.15/0.39 (step @p76 false :rule chain_m_resolution :premises (@p64 @p75 @p68 @p58) :args (false (@list false true false) (@list @t2 @t6 @t30))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------