%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO352^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:12:28 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO352^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.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 : Wed Jun 3 00:05:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.m (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "Q" (-> (-> $$unsorted $$unsorted) Bool))) % 0.44/0.63 (define @t2 () (_ @t1 tptp.n)) % 0.44/0.63 (define @t3 () (_ @t1 tptp.m)) % 0.44/0.63 (define @t4 () (@list @t1)) % 0.44/0.63 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.44/0.63 (define @t6 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t7 () (_ tptp.n @t6)) % 0.44/0.63 (define @t8 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.63 (define @t9 () (_ @t8 @t7)) % 0.44/0.63 (define @t10 () (_ tptp.m @t6)) % 0.44/0.63 (define @t11 () (_ @t8 @t10)) % 0.44/0.63 (define @t12 () (@list @t6 @t8)) % 0.44/0.63 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.44/0.63 (define @t14 () (=> @t13 @t5)) % 0.44/0.63 (define @t15 () (not @t14)) % 0.44/0.63 (define @t16 () (_ @t1 tptp.n)) % 0.44/0.63 (define @t17 () (_ @t1 tptp.m)) % 0.44/0.63 (define @t18 () (not @t3)) % 0.44/0.63 (define @t19 () (or @t18 @t2)) % 0.44/0.63 (define @t20 () (tptp.n @t6)) % 0.44/0.63 (define @t21 () (_ @t8 @t20)) % 0.44/0.63 (define @t22 () (tptp.m @t6)) % 0.44/0.63 (define @t23 () (_ @t8 @t22)) % 0.44/0.63 (define @t24 () (not @t11)) % 0.44/0.63 (define @t25 () (or @t24 @t9)) % 0.44/0.63 (define @t26 () (@quantifiers_skolemize (forall @t4 (or (not @t17) @t16)) 0)) % 0.44/0.63 (define @t27 () (_ @t26 tptp.n)) % 0.44/0.63 (define @t28 () (_ @t26 tptp.m)) % 0.44/0.63 (define @t29 () (not @t28)) % 0.44/0.63 (define @t30 () (or @t29 @t27)) % 0.44/0.63 (define @t31 () (not @t27)) % 0.44/0.63 (define @t32 () (@list true)) % 0.44/0.63 (define @t33 () (@list @t30)) % 0.44/0.63 (define @t34 () (= tptp.n tptp.m)) % 0.44/0.63 (define @t35 () (not @t34)) % 0.44/0.63 (define @t36 () (and @t31 @t34 @t28)) % 0.44/0.63 (define @t37 () (@const 0 $$unsorted)) % 0.44/0.63 (define @t38 () (tptp.m @t37)) % 0.44/0.63 (define @t39 () (tptp.n @t37)) % 0.44/0.63 (define @t40 () (= @t39 @t38)) % 0.44/0.63 (define @t41 () (not @t40)) % 0.44/0.63 (define @t42 () (_ tptp.m @t37)) % 0.44/0.63 (define @t43 () (= @t42 @t38)) % 0.44/0.63 (define @t44 () (= @t39 @t42)) % 0.44/0.63 (define @t45 () (= @t38 @t42)) % 0.44/0.63 (define @t46 () (not @t45)) % 0.44/0.63 (define @t47 () (or @t46 @t44)) % 0.44/0.63 (define @t48 () (forall @t12 (or (not @t23) @t21))) % 0.44/0.63 (define @t49 () (@var "BOUND_VARIABLE_14748" $$unsorted)) % 0.44/0.63 (define @t50 () (lambda (@list @t49) (= @t42 @t49))) % 0.44/0.63 (define @t51 () (_ @t50 @t39)) % 0.44/0.63 (define @t52 () (_ @t50 @t38)) % 0.44/0.63 (define @t53 () (not @t52)) % 0.44/0.63 (define @t54 () (or @t53 @t51)) % 0.44/0.63 (assume @p1 @t15) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 :rule refl :args (@t16)) % 0.44/0.63 (step @p4 :rule refl :args (@t2)) % 0.44/0.63 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t16))) % 0.44/0.63 (step @p6 :rule symm :premises (@p5)) % 0.44/0.63 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.44/0.63 (step @p8 :rule refl :args (@t17)) % 0.44/0.63 (step @p9 :rule refl :args (@t3)) % 0.44/0.63 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t17))) % 0.44/0.63 (step @p11 :rule symm :premises (@p10)) % 0.44/0.63 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.44/0.63 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 0.44/0.63 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t19)) % 0.44/0.63 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t19))) % 0.44/0.63 (step @p16 :rule bool-impl-elim :args (@t3 @t2)) % 0.44/0.63 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.44/0.63 (step @p18 :rule trans :premises (@p17 @p15)) % 0.44/0.63 (step @p19 :rule refl :args ((_ @t8 @t7))) % 0.44/0.63 (step @p20 :rule refl :args (@t20)) % 0.44/0.63 (step @p21 :rule cong :premises (@p20) :args (@t21)) % 0.44/0.63 (step @p22 :rule trans :premises (@p21 @p19)) % 0.44/0.63 (step @p23 :rule refl :args (@t8)) % 0.44/0.63 (step @p24 :rule ho_cong :premises (@p23 @p20)) % 0.44/0.63 (step @p25 :rule cong :premises (@p24 @p22) :args ((= (_ @t8 @t20) @t21))) % 0.44/0.63 (step @p26 :rule symm :premises (@p25)) % 0.44/0.63 (step @p27 :rule refl :args (@t9)) % 0.44/0.63 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.44/0.63 (step @p29 :rule refl :args (@t7)) % 0.44/0.63 (step @p30 :rule cong :premises (@p29 @p20) :args ((= @t7 @t20))) % 0.44/0.63 (step @p31 :rule symm :premises (@p30)) % 0.44/0.63 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.44/0.63 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 0.44/0.63 (step @p34 :rule trans :premises (@p33 @p28)) % 0.44/0.63 (step @p35 :rule refl :args ((_ @t8 @t10))) % 0.44/0.63 (step @p36 :rule refl :args (@t22)) % 0.44/0.63 (step @p37 :rule cong :premises (@p36) :args (@t23)) % 0.44/0.63 (step @p38 :rule trans :premises (@p37 @p35)) % 0.44/0.63 (step @p39 :rule ho_cong :premises (@p23 @p36)) % 0.44/0.63 (step @p40 :rule cong :premises (@p39 @p38) :args ((= (_ @t8 @t22) @t23))) % 0.44/0.63 (step @p41 :rule symm :premises (@p40)) % 0.44/0.63 (step @p42 :rule refl :args (@t11)) % 0.44/0.63 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.44/0.63 (step @p44 :rule refl :args (@t10)) % 0.44/0.63 (step @p45 :rule cong :premises (@p44 @p36) :args ((= @t10 @t22))) % 0.44/0.63 (step @p46 :rule symm :premises (@p45)) % 0.44/0.63 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.44/0.63 (step @p48 :rule ho_cong :premises (@p23 @p47)) % 0.44/0.63 (step @p49 :rule trans :premises (@p48 @p43)) % 0.44/0.63 (step @p50 :rule cong :premises (@p49) :args (@t24)) % 0.44/0.63 (step @p51 :rule nary_cong :premises (@p50 @p34) :args (@t25)) % 0.44/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t12 @t25))) % 0.44/0.63 (step @p53 :rule bool-impl-elim :args (@t11 @t9)) % 0.44/0.63 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.44/0.63 (step @p55 :rule trans :premises (@p54 @p52)) % 0.44/0.63 (step @p56 :rule cong :premises (@p55 @p18) :args (@t14)) % 0.44/0.63 (step @p57 :rule cong :premises (@p56) :args (@t15)) % 0.44/0.63 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.44/0.63 (step @p59 :rule not_implies_elim1 :premises (@p58)) % 0.44/0.63 (step @p60 :rule not_implies_elim2 :premises (@p58)) % 0.44/0.63 (step @p61 :rule skolemize :premises (@p60)) % 0.44/0.63 (step @p62 :rule cnf_or_neg :args (@t30 1)) % 0.44/0.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p61) :args (@t31 @t32 @t33)) % 0.44/0.63 (step @p64 :rule bool-double-not-elim :args (@t28)) % 0.44/0.63 (step @p65 :rule refl :args (@t30)) % 0.44/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t30 (not @t29)))) % 0.44/0.63 (step @p67 :rule cnf_or_neg :args (@t30 0)) % 0.44/0.63 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.44/0.63 (step @p69 :rule reordering :premises (@p68) :args ((or @t28 @t30))) % 0.44/0.63 (step @p70 :rule chain_m_resolution :premises (@p69 @p61) :args (@t28 @t32 @t33)) % 0.44/0.63 (step @p71 :rule refl :args (@t35)) % 0.44/0.63 (step @p72 :rule bool-double-not-elim :args (@t27)) % 0.44/0.63 (step @p73 :rule refl :args (@t29)) % 0.44/0.63 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t29 (not @t31) @t35))) % 0.44/0.63 (assume-push @p141 @t31) % 0.44/0.63 (assume-push @p142 @t34) % 0.44/0.63 (assume-push @p143 @t28) % 0.44/0.63 (step @p78 :rule evaluate :args ((= true false))) % 0.44/0.63 (step @p79 :rule false_intro :premises (@p63)) % 0.44/0.63 (step @p80 :rule symm :premises (@p142)) % 0.44/0.63 (step @p81 :rule cong :premises (@p80) :args (@t28)) % 0.44/0.63 (step @p82 :rule true_intro :premises (@p70)) % 0.44/0.63 (step @p83 :rule symm :premises (@p82)) % 0.44/0.63 (step @p84 :rule trans :premises (@p83 @p81 @p79)) % 0.44/0.63 (step @p85 false :rule eq_resolve :premises (@p84 @p78)) % 0.44/0.63 (step-pop @p144 :rule scope :premises (@p85)) % 0.44/0.63 (step-pop @p145 :rule scope :premises (@p144)) % 0.44/0.63 (step-pop @p146 :rule scope :premises (@p145)) % 0.44/0.63 (step @p86 :rule process_scope :premises (@p146) :args (false)) % 0.44/0.63 (assume-push @p147 @t28) % 0.44/0.63 (assume-push @p148 @t31) % 0.44/0.63 (assume-push @p149 @t34) % 0.44/0.63 (step @p93 :rule and_intro :premises (@p63 @p149 @p70)) % 0.44/0.63 (step-pop @p150 :rule scope :premises (@p93)) % 0.44/0.63 (step-pop @p151 :rule scope :premises (@p150)) % 0.44/0.63 (step-pop @p152 :rule scope :premises (@p151)) % 0.44/0.63 (step @p94 :rule process_scope :premises (@p152) :args (@t36)) % 0.44/0.63 (step @p98 :rule implies_elim :premises (@p94)) % 0.44/0.63 (step @p99 :rule resolution :premises (@p98 @p86) :args (true @t36)) % 0.44/0.63 (step @p100 :rule not_and :premises (@p99)) % 0.44/0.63 (step @p101 :rule eq_resolve :premises (@p100 @p74)) % 0.44/0.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p70 @p63) :args (@t35 (@list false true) (@list @t28 @t27))) % 0.44/0.63 ; WARNING: add trust step for TRUST % 0.44/0.63 ; trust TRUST THEORY_LEMMA % 0.44/0.63 (step @p103 :rule trust :premises () :args ((or @t34 @t41))) % 0.44/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args (@t41 @t32 (@list @t34))) % 0.44/0.63 (step @p105 :rule aci_norm :args ((= (or false @t40) @t40))) % 0.44/0.63 (step @p106 :rule refl :args (@t38)) % 0.44/0.63 (step @p107 :rule refl :args (@t42)) % 0.44/0.63 (step @p108 :rule cong :premises (@p107 @p106) :args (@t43)) % 0.44/0.63 (step @p109 :rule symm :premises (@p108)) % 0.44/0.63 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.44/0.63 (step @p111 :rule refl :args (@t39)) % 0.44/0.63 (step @p112 :rule cong :premises (@p111 @p110) :args (@t44)) % 0.44/0.63 (step @p113 :rule evaluate :args ((not true))) % 0.44/0.63 (step @p114 :rule eq-refl :args (@t38)) % 0.44/0.63 (step @p115 :rule refl :args (@t38)) % 0.44/0.63 (step @p116 :rule cong :premises (@p115 @p110) :args (@t45)) % 0.44/0.63 (step @p117 :rule trans :premises (@p116 @p114)) % 0.44/0.63 (step @p118 :rule cong :premises (@p117) :args (@t46)) % 0.44/0.63 (step @p119 :rule trans :premises (@p118 @p113)) % 0.44/0.63 (step @p120 :rule nary_cong :premises (@p119 @p112) :args (@t47)) % 0.44/0.64 (step @p121 :rule trans :premises (@p120 @p105)) % 0.44/0.64 (step @p122 :rule refl :args (@t48)) % 0.44/0.64 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t48 @t47))) % 0.44/0.64 (step @p124 :rule eq-symm :args (@t42 @t39)) % 0.44/0.64 (step @p125 :rule beta-reduce :args ((= @t51 (= @t42 @t39)))) % 0.44/0.64 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.64 (step @p127 :rule eq-symm :args (@t42 @t38)) % 0.44/0.64 (step @p128 :rule beta-reduce :args ((= @t52 @t43))) % 0.44/0.64 (step @p129 :rule trans :premises (@p128 @p127)) % 0.44/0.64 (step @p130 :rule cong :premises (@p129) :args (@t53)) % 0.44/0.64 (step @p131 :rule nary_cong :premises (@p130 @p126) :args (@t54)) % 0.44/0.64 (step @p132 :rule cong :premises (@p122 @p131) :args ((=> @t48 @t54))) % 0.44/0.64 (assume-push @p153 @t48) % 0.44/0.64 (step @p134 :rule instantiate :premises (@p59) :args ((@list @t37 @t50))) % 0.44/0.64 (step-pop @p154 :rule scope :premises (@p134)) % 0.44/0.64 (step @p135 :rule process_scope :premises (@p154) :args (@t54)) % 0.44/0.64 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.44/0.64 (step @p138 :rule eq_resolve :premises (@p137 @p123)) % 0.44/0.64 (step @p139 :rule implies_elim :premises (@p138)) % 0.44/0.64 (step @p140 false :rule chain_m_resolution :premises (@p139 @p104 @p59) :args (false (@list true false) (@list @t40 @t48))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------