%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV408^5 : 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 : n029.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 08:55:55 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV408^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:32:02 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.cF (-> (-> $$unsorted Bool) Bool)) % 0.38/0.60 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "B" (-> $$unsorted Bool))) % 0.38/0.60 (define @t3 () (_ @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "A" (-> $$unsorted Bool))) % 0.38/0.60 (define @t5 () (_ @t4 @t1)) % 0.38/0.60 (define @t6 () (@list @t1)) % 0.38/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.60 (define @t8 () (_ tptp.cF @t2)) % 0.38/0.60 (define @t9 () (and @t8 @t7)) % 0.38/0.60 (define @t10 () (@list @t2)) % 0.38/0.60 (define @t11 () (exists @t10 @t9)) % 0.38/0.60 (define @t12 () (@var "G" (-> (-> $$unsorted Bool) Bool))) % 0.38/0.60 (define @t13 () (_ @t12 @t4)) % 0.38/0.60 (define @t14 () (=> @t13 @t11)) % 0.38/0.60 (define @t15 () (@list @t4)) % 0.38/0.60 (define @t16 () (forall @t15 @t14)) % 0.38/0.60 (define @t17 () (@list @t12)) % 0.38/0.60 (define @t18 () (exists @t17 @t16)) % 0.38/0.60 (define @t19 () (not @t18)) % 0.38/0.60 (define @t20 () (_ @t2 @t1)) % 0.38/0.60 (define @t21 () (_ @t4 @t1)) % 0.38/0.60 (define @t22 () (forall @t6 (or (not @t21) @t20))) % 0.38/0.60 (define @t23 () (not @t22)) % 0.38/0.60 (define @t24 () (tptp.cF @t2)) % 0.38/0.60 (define @t25 () (not (forall @t10 (or (not @t24) @t23)))) % 0.38/0.60 (define @t26 () (_ @t12 @t4)) % 0.38/0.60 (define @t27 () (forall @t15 (or (not @t26) @t25))) % 0.38/0.60 (define @t28 () (forall @t17 (not @t27))) % 0.38/0.60 (define @t29 () (not @t13)) % 0.38/0.60 (define @t30 () (or @t29 @t25)) % 0.38/0.60 (define @t31 () (not @t8)) % 0.38/0.60 (define @t32 () (or @t31 @t23)) % 0.38/0.60 (define @t33 () (and @t8 @t22)) % 0.38/0.60 (define @t34 () (forall @t10 (not @t33))) % 0.38/0.60 (define @t35 () (not @t34)) % 0.38/0.60 (define @t36 () (not @t5)) % 0.38/0.60 (define @t37 () (or @t36 @t3)) % 0.38/0.60 (define @t38 () (lambda (@list (@var "BOUND_VARIABLE_14520" (-> $$unsorted Bool))) false)) % 0.38/0.60 (define @t39 () (_ @t38 @t4)) % 0.38/0.60 (define @t40 () (not @t39)) % 0.38/0.60 (define @t41 () (or @t40 @t25)) % 0.38/0.60 (define @t42 () (forall @t15 @t41)) % 0.38/0.60 (define @t43 () (not @t42)) % 0.38/0.60 (assume @p1 @t19) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule bool-double-not-elim :args (@t28)) % 0.38/0.60 (step @p4 :rule exists-elim :args ((= (exists @t17 @t27) (not @t28)))) % 0.38/0.60 (step @p5 :rule refl :args (@t25)) % 0.38/0.60 (step @p6 :rule refl :args (@t26)) % 0.38/0.60 (step @p7 :rule refl :args (@t13)) % 0.38/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t13 @t26))) % 0.38/0.60 (step @p9 :rule symm :premises (@p8)) % 0.38/0.60 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.60 (step @p11 :rule cong :premises (@p10) :args (@t29)) % 0.38/0.60 (step @p12 :rule nary_cong :premises (@p11 @p5) :args (@t30)) % 0.38/0.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t15 @t30))) % 0.38/0.60 (step @p14 :rule bool-impl-elim :args (@t13 @t25)) % 0.38/0.60 (step @p15 :rule cong :premises (@p14) :args ((forall @t15 (=> @t13 @t25)))) % 0.38/0.60 (step @p16 :rule trans :premises (@p15 @p13)) % 0.38/0.60 (step @p17 :rule refl :args (@t23)) % 0.38/0.60 (step @p18 :rule refl :args (@t24)) % 0.38/0.60 (step @p19 :rule refl :args (@t8)) % 0.38/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t8 @t24))) % 0.38/0.60 (step @p21 :rule symm :premises (@p20)) % 0.38/0.60 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.38/0.60 (step @p24 :rule nary_cong :premises (@p23 @p17) :args (@t32)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args ((forall @t10 @t32))) % 0.38/0.60 (step @p26 :rule bool-and-de-morgan :args (@t8 @t22 true)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26) :args (@t34)) % 0.38/0.60 (step @p28 :rule trans :premises (@p27 @p25)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.38/0.60 (step @p30 :rule exists-elim :args ((= (exists @t10 @t33) @t35))) % 0.38/0.60 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.60 (step @p32 :rule refl :args (@t20)) % 0.38/0.60 (step @p33 :rule refl :args (@t3)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t3 @t20))) % 0.38/0.60 (step @p35 :rule symm :premises (@p34)) % 0.38/0.60 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.38/0.60 (step @p37 :rule refl :args (@t21)) % 0.38/0.60 (step @p38 :rule refl :args (@t5)) % 0.38/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t5 @t21))) % 0.38/0.60 (step @p40 :rule symm :premises (@p39)) % 0.38/0.60 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41) :args (@t36)) % 0.38/0.60 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t37)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43) :args ((forall @t6 @t37))) % 0.38/0.60 (step @p45 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p44)) % 0.38/0.60 (step @p48 :rule refl :args (@t8)) % 0.38/0.60 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t9)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p31)) % 0.38/0.60 (step @p52 :rule refl :args (@t13)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52 @p51) :args (@t14)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53) :args (@t16)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p16)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55) :args (@t18)) % 0.38/0.60 (step @p57 :rule trans :premises (@p56 @p4)) % 0.38/0.60 (step @p58 :rule cong :premises (@p57) :args (@t19)) % 0.38/0.60 (step @p59 :rule trans :premises (@p58 @p3)) % 0.38/0.60 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.38/0.60 (step @p61 :rule bool-impl-false1 :args (@t28)) % 0.38/0.60 (step @p62 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p63 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.38/0.60 (step @p64 :rule absorb :args ((= (or true @t25) true))) % 0.38/0.60 (step @p65 :rule refl :args (@t25)) % 0.38/0.60 (step @p66 :rule evaluate :args ((not false))) % 0.38/0.60 (step @p67 :rule beta-reduce :args ((= @t39 false))) % 0.38/0.60 (step @p68 :rule cong :premises (@p67) :args (@t40)) % 0.38/0.60 (step @p69 :rule trans :premises (@p68 @p66)) % 0.38/0.60 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t41)) % 0.38/0.60 (step @p71 :rule trans :premises (@p70 @p64)) % 0.38/0.60 (step @p72 :rule cong :premises (@p71) :args (@t42)) % 0.38/0.60 (step @p73 :rule trans :premises (@p72 @p63)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73) :args (@t43)) % 0.38/0.60 (step @p75 :rule trans :premises (@p74 @p62)) % 0.38/0.60 (step @p76 :rule refl :args (@t28)) % 0.38/0.60 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t28 @t43))) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p61)) % 0.38/0.60 (assume-push @p85 @t28) % 0.38/0.60 (step @p80 :rule instantiate :premises (@p60) :args ((@list @t38))) % 0.38/0.60 (step-pop @p86 :rule scope :premises (@p80)) % 0.38/0.60 (step @p81 :rule process_scope :premises (@p86) :args (@t43)) % 0.38/0.60 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.38/0.60 (step @p84 false :rule chain_m_resolution :premises (@p83 @p60) :args (false (@list false) (@list @t28))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------