%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO281^5 : 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 09:12:21 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO281^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:03:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Xq" (-> $$unsorted Bool))) % 0.39/0.58 (define @t3 () (_ @t2 @t1)) % 0.39/0.58 (define @t4 () (@var "Xp" (-> $$unsorted Bool))) % 0.39/0.58 (define @t5 () (_ @t4 @t1)) % 0.39/0.58 (define @t6 () (@list @t1)) % 0.39/0.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.58 (define @t8 () (@list @t2)) % 0.39/0.58 (define @t9 () (exists @t8 @t7)) % 0.39/0.58 (define @t10 () (@list @t4)) % 0.39/0.58 (define @t11 () (forall @t10 @t9)) % 0.39/0.58 (define @t12 () (not @t11)) % 0.39/0.58 (define @t13 () (_ @t2 @t1)) % 0.39/0.58 (define @t14 () (_ @t4 @t1)) % 0.39/0.58 (define @t15 () (forall @t6 (or (not @t14) @t13))) % 0.39/0.58 (define @t16 () (not (forall @t8 (not @t15)))) % 0.39/0.58 (define @t17 () (not @t5)) % 0.39/0.58 (define @t18 () (or @t17 @t3)) % 0.39/0.58 (define @t19 () (forall @t10 @t16)) % 0.39/0.58 (define @t20 () (not (_ (@quantifiers_skolemize @t19 0) @t1))) % 0.39/0.58 (define @t21 () (forall @t8 (not (forall @t6 (or @t20 @t13))))) % 0.39/0.58 (define @t22 () (not @t19)) % 0.39/0.58 (define @t23 () (not (not @t21))) % 0.39/0.58 (define @t24 () (lambda (@list (@var "BOUND_VARIABLE_14481" $$unsorted)) true)) % 0.39/0.58 (define @t25 () (_ @t24 @t1)) % 0.39/0.58 (define @t26 () (or @t20 @t25)) % 0.39/0.58 (define @t27 () (forall @t6 @t26)) % 0.39/0.58 (define @t28 () (not @t27)) % 0.39/0.58 (assume @p1 @t12) % 0.39/0.58 (assume @p2 true) % 0.39/0.58 (step @p3 :rule exists-elim :args ((= (exists @t8 @t15) @t16))) % 0.39/0.58 (step @p4 :rule refl :args (@t13)) % 0.39/0.58 (step @p5 :rule refl :args (@t3)) % 0.39/0.58 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t13))) % 0.39/0.58 (step @p7 :rule symm :premises (@p6)) % 0.39/0.58 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.58 (step @p9 :rule refl :args (@t14)) % 0.39/0.58 (step @p10 :rule refl :args (@t5)) % 0.39/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t14))) % 0.39/0.58 (step @p12 :rule symm :premises (@p11)) % 0.39/0.58 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.58 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.39/0.58 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t18)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args ((forall @t6 @t18))) % 0.39/0.58 (step @p17 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.58 (step @p18 :rule cong :premises (@p17) :args (@t7)) % 0.39/0.58 (step @p19 :rule trans :premises (@p18 @p16)) % 0.39/0.58 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p3)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 0.39/0.58 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.39/0.58 (step @p25 :rule refl :args (@t21)) % 0.39/0.58 (step @p26 :rule bool-double-not-elim :args (@t19)) % 0.39/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t22) @t21))) % 0.39/0.58 (step @p28 :rule bool-double-not-elim :args (@t21)) % 0.39/0.58 (step @p29 :rule refl :args (@t22)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t22 @t23))) % 0.39/0.58 (assume-push @p59 @t22) % 0.39/0.58 (step @p32 :rule skolemize :premises (@p24)) % 0.39/0.58 (step-pop @p60 :rule scope :premises (@p32)) % 0.39/0.58 (step @p33 :rule process_scope :premises (@p60) :args (@t23)) % 0.39/0.58 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.39/0.58 (step @p36 :rule implies_elim :premises (@p35)) % 0.39/0.58 (step @p37 :rule eq_resolve :premises (@p36 @p27)) % 0.39/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p24) :args (@t21 (@list true) (@list @t19))) % 0.39/0.58 (step @p39 :rule bool-impl-false1 :args (@t21)) % 0.39/0.58 (step @p40 :rule evaluate :args ((not true))) % 0.39/0.58 (step @p41 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.39/0.58 (step @p42 :rule absorb :args ((= (or @t20 true) true))) % 0.39/0.58 (step @p43 :rule beta-reduce :args ((= @t25 true))) % 0.39/0.58 (step @p44 :rule refl :args (@t20)) % 0.39/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 0.39/0.58 (step @p46 :rule trans :premises (@p45 @p42)) % 0.39/0.58 (step @p47 :rule cong :premises (@p46) :args (@t27)) % 0.39/0.58 (step @p48 :rule trans :premises (@p47 @p41)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48) :args (@t28)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p40)) % 0.39/0.58 (step @p51 :rule cong :premises (@p25 @p50) :args ((=> @t21 @t28))) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p39)) % 0.39/0.58 (assume-push @p61 @t21) % 0.39/0.58 (step @p54 :rule instantiate :premises (@p38) :args ((@list @t24))) % 0.39/0.58 (step-pop @p62 :rule scope :premises (@p54)) % 0.39/0.58 (step @p55 :rule process_scope :premises (@p62) :args (@t28)) % 0.39/0.58 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.39/0.59 (step @p58 false :rule chain_m_resolution :premises (@p57 @p38) :args (false (@list false) (@list @t21))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting 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