%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO009^1 : 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 : n010.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 09:11:46 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO009^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n010.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 : Tue Jun 2 23:51:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.p (-> (-> $$unsorted $$unsorted) Bool)) % 0.37/0.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (_ tptp.p tptp.f)) % 0.37/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t3 () (_ tptp.f @t2)) % 0.37/0.56 (define @t4 () (@list @t2)) % 0.37/0.56 (define @t5 () (lambda @t4 @t3)) % 0.37/0.56 (define @t6 () (=> (_ tptp.p @t5) @t1)) % 0.37/0.56 (define @t7 () (not @t6)) % 0.37/0.56 (define @t8 () (tptp.f @t2)) % 0.37/0.56 (define @t9 () (@purify @t5)) % 0.37/0.56 (define @t10 () (_ @t9 @t2)) % 0.37/0.56 (define @t11 () (= @t3 @t10)) % 0.37/0.56 (define @t12 () (_ @t5 @t2)) % 0.37/0.56 (define @t13 () (= @t10 @t12)) % 0.37/0.56 (define @t14 () (forall @t4 @t13)) % 0.37/0.56 (define @t15 () (tptp.p tptp.f)) % 0.37/0.56 (define @t16 () (tptp.p @t9)) % 0.37/0.56 (define @t17 () (_ tptp.p @t9)) % 0.37/0.56 (define @t18 () (= tptp.f @t9)) % 0.37/0.56 (define @t19 () (not @t18)) % 0.37/0.56 (define @t20 () (not @t16)) % 0.37/0.56 (define @t21 () (not @t15)) % 0.37/0.56 (define @t22 () (and @t21 @t18 @t16)) % 0.37/0.56 (define @t23 () (@list true false)) % 0.37/0.56 (define @t24 () (@const 0 $$unsorted)) % 0.37/0.56 (define @t25 () (_ @t9 @t24)) % 0.37/0.56 (define @t26 () (tptp.f @t24)) % 0.37/0.56 (define @t27 () (= @t26 @t25)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (forall @t4 (= @t10 @t8))) % 0.37/0.56 (define @t30 () (= @t25 @t26)) % 0.37/0.56 (assume @p1 @t7) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule eq-symm :args (@t8 @t10)) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t4 (= @t8 @t10)))) % 0.37/0.56 (step @p5 :rule refl :args (@t10)) % 0.37/0.56 (step @p6 :rule refl :args (@t8)) % 0.37/0.56 (step @p7 :rule refl :args (@t3)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t8))) % 0.37/0.56 (step @p9 :rule symm :premises (@p8)) % 0.37/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10 @p5) :args (@t11)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t4 @t11))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p4)) % 0.37/0.56 (step @p14 :rule eq-symm :args (@t10 @t3)) % 0.37/0.56 (step @p15 :rule beta-reduce :args ((= @t12 @t3))) % 0.37/0.56 (step @p16 :rule refl :args (@t10)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args (@t13)) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p14)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18) :args (@t14)) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p13)) % 0.37/0.56 (step @p21 :rule quant-unused-vars :args ((= (forall @t4 true) true))) % 0.37/0.56 (step @p22 :rule eq-refl :args (@t12)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t4 (= @t12 @t12)))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.56 (step @p25 :rule refl :args (@t12)) % 0.37/0.56 (step @p26 :rule refl :args (@t2)) % 0.37/0.56 (step @p27 :rule skolem_intro :args (@t9)) % 0.37/0.56 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28 @p25) :args (@t13)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p24)) % 0.37/0.56 (step @p32 :rule true_elim :premises (@p31)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p32 @p20)) % 0.37/0.56 (step @p34 :rule refl :args (@t15)) % 0.37/0.56 (step @p35 :rule refl :args (@t1)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t1 @t15))) % 0.37/0.56 (step @p37 :rule symm :premises (@p36)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.37/0.56 (step @p39 :rule refl :args (@t16)) % 0.37/0.56 (step @p40 :rule refl :args (@t17)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t17 @t16))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.56 (step @p44 :rule eq-refl :args (@t5)) % 0.37/0.56 (step @p45 :rule refl :args (@t5)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45 @p27) :args ((= @t5 @t9))) % 0.37/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.56 (step @p48 :rule true_elim :premises (@p47)) % 0.37/0.56 (step @p49 :rule refl :args (tptp.p)) % 0.37/0.56 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p43)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51 @p38) :args (@t6)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args (@t7)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.37/0.56 (step @p55 :rule not_implies_elim1 :premises (@p54)) % 0.37/0.56 (step @p56 :rule not_implies_elim2 :premises (@p54)) % 0.37/0.56 (step @p57 :rule refl :args (@t19)) % 0.37/0.56 (step @p58 :rule bool-double-not-elim :args (@t15)) % 0.37/0.56 (step @p59 :rule refl :args (@t20)) % 0.37/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t20 (not @t21) @t19))) % 0.37/0.56 (assume-push @p102 @t21) % 0.37/0.56 (assume-push @p103 @t18) % 0.37/0.56 (assume-push @p104 @t16) % 0.37/0.56 (step @p64 :rule evaluate :args ((= true false))) % 0.37/0.56 (step @p65 :rule false_intro :premises (@p56)) % 0.37/0.56 (step @p66 :rule symm :premises (@p103)) % 0.37/0.56 (step @p67 :rule cong :premises (@p66) :args (@t16)) % 0.37/0.56 (step @p68 :rule true_intro :premises (@p55)) % 0.37/0.56 (step @p69 :rule symm :premises (@p68)) % 0.37/0.56 (step @p70 :rule trans :premises (@p69 @p67 @p65)) % 0.37/0.56 (step @p71 false :rule eq_resolve :premises (@p70 @p64)) % 0.37/0.56 (step-pop @p105 :rule scope :premises (@p71)) % 0.37/0.56 (step-pop @p106 :rule scope :premises (@p105)) % 0.37/0.56 (step-pop @p107 :rule scope :premises (@p106)) % 0.37/0.56 (step @p72 :rule process_scope :premises (@p107) :args (false)) % 0.37/0.56 (assume-push @p108 @t16) % 0.37/0.56 (assume-push @p109 @t21) % 0.37/0.56 (assume-push @p110 @t18) % 0.37/0.56 (step @p79 :rule and_intro :premises (@p56 @p110 @p55)) % 0.37/0.56 (step-pop @p111 :rule scope :premises (@p79)) % 0.37/0.56 (step-pop @p112 :rule scope :premises (@p111)) % 0.37/0.56 (step-pop @p113 :rule scope :premises (@p112)) % 0.37/0.56 (step @p80 :rule process_scope :premises (@p113) :args (@t22)) % 0.37/0.56 (step @p84 :rule implies_elim :premises (@p80)) % 0.37/0.56 (step @p85 :rule resolution :premises (@p84 @p72) :args (true @t22)) % 0.37/0.56 (step @p86 :rule not_and :premises (@p85)) % 0.37/0.56 (step @p87 :rule eq_resolve :premises (@p86 @p60)) % 0.37/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t15 @t20 @t19))) % 0.37/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p56 @p55) :args (@t19 @t23 (@list @t15 @t16))) % 0.37/0.56 ; WARNING: add trust step for TRUST % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p90 :rule trust :premises () :args ((or @t18 @t28))) % 0.37/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p89) :args (@t28 (@list true) (@list @t18))) % 0.37/0.56 (step @p92 :rule eq-symm :args (@t25 @t26)) % 0.37/0.56 (step @p93 :rule refl :args (@t29)) % 0.37/0.56 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t29 @t30))) % 0.37/0.56 (assume-push @p114 @t29) % 0.37/0.56 (step @p96 :rule instantiate :premises (@p33) :args ((@list @t24))) % 0.37/0.56 (step-pop @p115 :rule scope :premises (@p96)) % 0.37/0.56 (step @p97 :rule process_scope :premises (@p115) :args (@t30)) % 0.37/0.56 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.37/0.56 (step @p100 :rule implies_elim :premises (@p99)) % 0.37/0.56 (step @p101 false :rule chain_m_resolution :premises (@p100 @p91 @p33) :args (false @t23 (@list @t27 @t29))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------