%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV447^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:01:34 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV447^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:19:08 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.map (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.nil $$unsorted) % 0.38/0.57 (define @t1 () (@var "F" (-> $$unsorted $$unsorted))) % 0.38/0.57 (define @t2 () (_ tptp.map @t1)) % 0.38/0.57 (define @t3 () (_ @t2 tptp.nil)) % 0.38/0.57 (define @t4 () (@list @t1)) % 0.38/0.57 (define @t5 () (forall @t4 (= @t3 tptp.nil))) % 0.38/0.57 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t7 () (_ @t2 @t6)) % 0.38/0.57 (define @t8 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t9 () (_ @t1 @t8)) % 0.38/0.57 (define @t10 () (_ (_ tptp.cons @t9) @t7)) % 0.38/0.57 (define @t11 () (_ (_ tptp.cons @t8) @t6)) % 0.38/0.57 (define @t12 () (_ @t2 @t11)) % 0.38/0.57 (define @t13 () (= @t12 @t10)) % 0.38/0.57 (define @t14 () (@list @t1 @t8 @t6)) % 0.38/0.57 (define @t15 () (forall @t14 @t13)) % 0.38/0.57 (define @t16 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t17 () (_ (_ tptp.cons @t16) tptp.nil)) % 0.38/0.57 (define @t18 () (lambda (@list @t8) @t8)) % 0.38/0.57 (define @t19 () (_ tptp.map @t18)) % 0.38/0.57 (define @t20 () (_ @t19 @t17)) % 0.38/0.57 (define @t21 () (@list @t16)) % 0.38/0.57 (define @t22 () (forall @t21 (= @t20 @t17))) % 0.38/0.57 (define @t23 () (not @t22)) % 0.38/0.57 (define @t24 () (tptp.cons @t16 tptp.nil)) % 0.38/0.57 (define @t25 () (tptp.map @t18 @t24)) % 0.38/0.57 (define @t26 () (= @t17 @t20)) % 0.38/0.57 (define @t27 () (forall @t21 (= @t24 @t25))) % 0.38/0.57 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.38/0.57 (define @t29 () (tptp.cons @t28 tptp.nil)) % 0.38/0.57 (define @t30 () (@purify @t18)) % 0.38/0.57 (define @t31 () (tptp.map @t30 @t29)) % 0.38/0.57 (define @t32 () (= @t29 @t31)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (not @t27)) % 0.38/0.57 (define @t35 () (tptp.map @t18 @t29)) % 0.38/0.57 (define @t36 () (= @t29 @t35)) % 0.38/0.57 (define @t37 () (not @t36)) % 0.38/0.57 (define @t38 () (tptp.map @t1 @t6)) % 0.38/0.57 (define @t39 () (_ @t1 @t8)) % 0.38/0.57 (define @t40 () (tptp.cons @t39 @t38)) % 0.38/0.57 (define @t41 () (tptp.cons @t8 @t6)) % 0.38/0.57 (define @t42 () (tptp.map @t1 @t41)) % 0.38/0.57 (define @t43 () (tptp.map @t30 tptp.nil)) % 0.38/0.57 (define @t44 () (_ @t18 @t28)) % 0.38/0.57 (define @t45 () (_ @t30 @t28)) % 0.38/0.57 (define @t46 () (tptp.cons @t45 @t43)) % 0.38/0.57 (define @t47 () (= @t31 @t46)) % 0.38/0.57 (define @t48 () (forall @t14 (= @t42 @t40))) % 0.38/0.57 (define @t49 () (tptp.cons @t28 @t43)) % 0.38/0.57 (define @t50 () (= @t31 @t49)) % 0.38/0.57 (define @t51 () (_ tptp.cons @t28)) % 0.38/0.57 (define @t52 () (@purify @t51)) % 0.38/0.57 (define @t53 () (_ @t52 tptp.nil)) % 0.38/0.57 (define @t54 () (_ @t51 tptp.nil)) % 0.38/0.57 (define @t55 () (= @t54 @t53)) % 0.38/0.57 (define @t56 () (= @t51 @t52)) % 0.38/0.57 (define @t57 () (and @t56 @t55)) % 0.38/0.57 (define @t58 () (_ @t51 tptp.nil)) % 0.38/0.57 (define @t59 () (= @t54 @t58)) % 0.38/0.57 (define @t60 () (tptp.map @t1 tptp.nil)) % 0.38/0.57 (define @t61 () (= tptp.nil @t3)) % 0.38/0.57 (define @t62 () (= tptp.nil @t43)) % 0.38/0.57 (define @t63 () (and @t50 @t56 @t62)) % 0.38/0.57 (assume @p1 @t5) % 0.38/0.57 (assume @p2 @t15) % 0.38/0.57 (assume @p3 @t23) % 0.38/0.57 (assume @p4 true) % 0.38/0.57 (step @p5 :rule refl :args ((tptp.map @t18 @t17))) % 0.38/0.57 (step @p6 :rule refl :args (@t24)) % 0.38/0.57 (step @p7 :rule refl :args (@t18)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args (@t25)) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.57 (step @p10 :rule refl :args (@t19)) % 0.38/0.57 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t19 @t24) @t25))) % 0.38/0.57 (step @p13 :rule symm :premises (@p12)) % 0.38/0.57 (step @p14 :rule refl :args (@t20)) % 0.38/0.57 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule refl :args (@t17)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t17 @t24))) % 0.38/0.57 (step @p18 :rule symm :premises (@p17)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.57 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p15)) % 0.38/0.57 (step @p22 :rule cong :premises (@p19 @p21) :args (@t26)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t21 @t26))) % 0.38/0.57 (step @p24 :rule eq-symm :args (@t20 @t17)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t22)) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p23)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26) :args (@t23)) % 0.38/0.57 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 0.38/0.57 (step @p29 :rule refl :args (@t33)) % 0.38/0.57 (step @p30 :rule bool-double-not-elim :args (@t27)) % 0.38/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t34) @t33))) % 0.38/0.57 (step @p32 :rule refl :args (@t29)) % 0.38/0.57 (step @p33 :rule eq-refl :args (@t18)) % 0.38/0.57 (step @p34 :rule skolem_intro :args (@t30)) % 0.38/0.57 (step @p35 :rule refl :args (@t18)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t18 @t30))) % 0.38/0.57 (step @p37 :rule trans :premises (@p36 @p33)) % 0.38/0.57 (step @p38 :rule true_elim :premises (@p37)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p32) :args (@t35)) % 0.38/0.57 (step @p40 :rule cong :premises (@p32 @p39) :args (@t36)) % 0.38/0.57 (step @p41 :rule cong :premises (@p40) :args (@t37)) % 0.38/0.57 (step @p42 :rule refl :args (@t34)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t34 @t37))) % 0.38/0.57 (assume-push @p183 @t34) % 0.38/0.57 (step @p45 :rule skolemize :premises (@p28)) % 0.38/0.57 (step-pop @p184 :rule scope :premises (@p45)) % 0.38/0.57 (step @p46 :rule process_scope :premises (@p184) :args (@t37)) % 0.38/0.57 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.38/0.57 (step @p49 :rule implies_elim :premises (@p48)) % 0.38/0.57 (step @p50 :rule eq_resolve :premises (@p49 @p31)) % 0.38/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p28) :args (@t33 (@list true) (@list @t27))) % 0.38/0.57 (step @p52 :rule refl :args ((tptp.cons @t9 @t7))) % 0.38/0.57 (step @p53 :rule refl :args (@t38)) % 0.38/0.57 (step @p54 :rule refl :args (@t39)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args (@t40)) % 0.38/0.57 (step @p56 :rule trans :premises (@p55 @p52)) % 0.38/0.57 (step @p57 :rule refl :args (tptp.cons)) % 0.38/0.57 (step @p58 :rule ho_cong :premises (@p57 @p54)) % 0.38/0.57 (step @p59 :rule ho_cong :premises (@p58 @p53)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59 @p56) :args ((= (_ (_ tptp.cons @t39) @t38) @t40))) % 0.38/0.57 (step @p61 :rule symm :premises (@p60)) % 0.38/0.57 (step @p62 :rule refl :args (@t10)) % 0.38/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.38/0.57 (step @p64 :rule refl :args (@t7)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64 @p53) :args ((= @t7 @t38))) % 0.38/0.57 (step @p66 :rule symm :premises (@p65)) % 0.38/0.57 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.38/0.57 (step @p68 :rule refl :args (@t9)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68 @p54) :args ((= @t9 @t39))) % 0.38/0.57 (step @p70 :rule symm :premises (@p69)) % 0.38/0.57 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.38/0.57 (step @p72 :rule ho_cong :premises (@p57 @p71)) % 0.38/0.57 (step @p73 :rule ho_cong :premises (@p72 @p67)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p63)) % 0.38/0.57 (step @p75 :rule refl :args ((tptp.map @t1 @t11))) % 0.38/0.57 (step @p76 :rule refl :args (@t41)) % 0.38/0.57 (step @p77 :rule refl :args (@t1)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t42)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p75)) % 0.38/0.57 (step @p80 :rule refl :args (@t2)) % 0.38/0.57 (step @p81 :rule ho_cong :premises (@p80 @p76)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81 @p79) :args ((= (_ @t2 @t41) @t42))) % 0.38/0.57 (step @p83 :rule symm :premises (@p82)) % 0.38/0.57 (step @p84 :rule refl :args (@t12)) % 0.38/0.57 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.57 (step @p86 :rule refl :args (@t11)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86 @p76) :args ((= @t11 @t41))) % 0.38/0.57 (step @p88 :rule symm :premises (@p87)) % 0.38/0.57 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.38/0.57 (step @p90 :rule ho_cong :premises (@p80 @p89)) % 0.38/0.57 (step @p91 :rule trans :premises (@p90 @p85)) % 0.38/0.57 (step @p92 :rule cong :premises (@p91 @p74) :args (@t13)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92) :args (@t15)) % 0.38/0.57 (step @p94 :rule eq_resolve :premises (@p2 @p93)) % 0.38/0.57 (step @p95 :rule refl :args (@t43)) % 0.38/0.57 (step @p96 :rule eq-refl :args (@t28)) % 0.38/0.57 (step @p97 :rule beta-reduce :args ((= @t44 @t28))) % 0.38/0.57 (step @p98 :rule refl :args (@t28)) % 0.38/0.57 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t28 @t44))) % 0.38/0.57 (step @p100 :rule trans :premises (@p99 @p96)) % 0.38/0.57 (step @p101 :rule ho_cong :premises (@p34 @p98)) % 0.38/0.57 (step @p102 :rule cong :premises (@p98 @p101) :args ((= @t28 @t45))) % 0.38/0.57 (step @p103 :rule eq-symm :args (@t45 @t28)) % 0.38/0.57 (step @p104 :rule trans :premises (@p103 @p102 @p100)) % 0.38/0.57 (step @p105 :rule true_elim :premises (@p104)) % 0.38/0.57 (step @p106 :rule cong :premises (@p105 @p95) :args (@t46)) % 0.38/0.57 (step @p107 :rule refl :args (@t31)) % 0.38/0.57 (step @p108 :rule cong :premises (@p107 @p106) :args (@t47)) % 0.38/0.57 (step @p109 :rule refl :args (@t48)) % 0.38/0.57 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t48 @t47))) % 0.38/0.57 (assume-push @p185 @t48) % 0.38/0.57 (step @p112 :rule instantiate :premises (@p94) :args ((@list @t30 @t28 tptp.nil))) % 0.38/0.57 (step-pop @p186 :rule scope :premises (@p112)) % 0.38/0.57 (step @p113 :rule process_scope :premises (@p186) :args (@t47)) % 0.38/0.57 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.38/0.57 (step @p116 :rule implies_elim :premises (@p115)) % 0.38/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p94) :args (@t50 (@list false) (@list @t48))) % 0.38/0.57 (step @p118 :rule refl :args (@t53)) % 0.38/0.57 (step @p119 :rule refl :args (@t29)) % 0.38/0.57 (step @p120 :rule refl :args (@t54)) % 0.38/0.57 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t54 @t29))) % 0.38/0.57 (step @p122 :rule symm :premises (@p121)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.38/0.57 (step @p124 :rule cong :premises (@p123 @p118) :args (@t55)) % 0.38/0.57 (step @p125 :rule refl :args (@t56)) % 0.38/0.57 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t57)) % 0.38/0.57 (step @p127 :rule eq-symm :args (@t53 @t54)) % 0.38/0.57 (step @p128 :rule eq-symm :args (@t52 @t51)) % 0.38/0.57 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((and (= @t52 @t51) (= @t53 @t54)))) % 0.38/0.57 (step @p130 :rule trans :premises (@p129 @p126)) % 0.38/0.57 (step @p131 :rule evaluate :args ((and true true))) % 0.38/0.57 (step @p132 :rule eq-refl :args (@t54)) % 0.38/0.57 (step @p133 :rule refl :args (@t58)) % 0.38/0.57 (step @p134 :rule refl :args (@t54)) % 0.38/0.57 (step @p135 :rule cong :premises (@p134 @p133) :args (@t59)) % 0.38/0.57 (step @p136 :rule trans :premises (@p135 @p132)) % 0.38/0.57 (step @p137 :rule eq-refl :args (@t51)) % 0.38/0.57 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((and (= @t51 @t51) @t59))) % 0.38/0.57 (step @p139 :rule trans :premises (@p138 @p131)) % 0.38/0.57 (step @p140 :rule refl :args (tptp.nil)) % 0.38/0.57 (step @p141 :rule skolem_intro :args (@t52)) % 0.38/0.57 (step @p142 :rule ho_cong :premises (@p141 @p140)) % 0.38/0.57 (step @p143 :rule cong :premises (@p134 @p142) :args (@t55)) % 0.38/0.57 (step @p144 :rule refl :args (@t51)) % 0.38/0.57 (step @p145 :rule cong :premises (@p144 @p141) :args (@t56)) % 0.38/0.57 (step @p146 :rule nary_cong :premises (@p145 @p143) :args (@t57)) % 0.38/0.57 (step @p147 :rule trans :premises (@p129 @p146 @p139)) % 0.38/0.57 (step @p148 :rule true_elim :premises (@p147)) % 0.38/0.57 (step @p149 :rule eq_resolve :premises (@p148 @p130)) % 0.38/0.57 (step @p150 :rule and_elim :premises (@p149) :args (0)) % 0.38/0.57 (step @p151 :rule refl :args (@t60)) % 0.38/0.57 (step @p152 :rule refl :args (@t3)) % 0.38/0.57 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t3 @t60))) % 0.38/0.57 (step @p154 :rule symm :premises (@p153)) % 0.38/0.57 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.38/0.57 (step @p156 :rule refl :args (tptp.nil)) % 0.38/0.57 (step @p157 :rule cong :premises (@p156 @p155) :args (@t61)) % 0.38/0.57 (step @p158 :rule cong :premises (@p157) :args ((forall @t4 @t61))) % 0.38/0.57 (step @p159 :rule eq-symm :args (@t3 tptp.nil)) % 0.38/0.57 (step @p160 :rule cong :premises (@p159) :args (@t5)) % 0.38/0.57 (step @p161 :rule trans :premises (@p160 @p158)) % 0.38/0.57 (step @p162 :rule eq_resolve :premises (@p1 @p161)) % 0.38/0.57 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t30))) % 0.38/0.57 (assume-push @p187 @t50) % 0.38/0.57 (assume-push @p188 @t56) % 0.38/0.57 (assume-push @p189 @t62) % 0.38/0.57 (step @p167 :rule symm :premises (@p117)) % 0.38/0.57 (step @p168 :rule refl :args (@t49)) % 0.38/0.57 (step @p169 :rule symm :premises (@p168)) % 0.38/0.57 (step @p170 :rule ho_cong :premises (@p141 @p163)) % 0.38/0.57 (step @p171 :rule ho_cong :premises (@p150 @p140)) % 0.38/0.57 (step @p172 :rule refl :args (@t29)) % 0.38/0.57 (step @p173 :rule trans :premises (@p172 @p171 @p170 @p169 @p167)) % 0.38/0.57 (step-pop @p190 :rule scope :premises (@p173)) % 0.38/0.57 (step-pop @p191 :rule scope :premises (@p190)) % 0.38/0.57 (step-pop @p192 :rule scope :premises (@p191)) % 0.38/0.57 (step @p174 :rule process_scope :premises (@p192) :args (@t32)) % 0.38/0.57 (step @p178 :rule implies_elim :premises (@p174)) % 0.38/0.57 (step @p179 :rule cnf_and_neg :args (@t63)) % 0.38/0.57 (step @p180 :rule resolution :premises (@p179 @p178) :args (true @t63)) % 0.38/0.57 (step @p181 :rule reordering :premises (@p180) :args ((or @t32 (not @t50) (not @t56) (not @t62)))) % 0.38/0.57 (step @p182 false :rule chain_m_resolution :premises (@p181 @p163 @p150 @p117 @p51) :args (false (@list false false false true) (@list @t62 @t56 @t50 @t32))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------