%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT025_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:14:22 AM UTC 2026 % Result : Theorem 0.34s 45.77s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT025_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:25:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.34/45.77 --- Run --finite-model-find --decision=internal at 45... % 0.34/45.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.34/45.77 % SZS status Theorem % 0.34/45.77 % SZS output start Proof % 0.34/45.77 ( % 0.34/45.77 (declare-sort tptp.collection 0) % 0.34/45.77 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.34/45.77 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.34/45.77 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.34/45.77 (declare-const tptp.empty tptp.collection) % 0.34/45.77 (define @t1 () (@var "U" Int)) % 0.34/45.77 (define @t2 () (@var "W" tptp.collection)) % 0.34/45.77 (define @t3 () (@var "V" Int)) % 0.34/45.77 (define @t4 () (@var "Y" tptp.collection)) % 0.34/45.77 (define @t5 () (@var "X" Int)) % 0.34/45.77 (define @t6 () (@var "X1" tptp.collection)) % 0.34/45.77 (define @t7 () (@var "X2" Int)) % 0.34/45.77 (define @t8 () (@var "Z" Int)) % 0.34/45.77 (define @t9 () (@var "X4" tptp.collection)) % 0.34/45.77 (define @t10 () (@var "X5" Int)) % 0.34/45.77 (define @t11 () (@var "X3" Int)) % 0.34/45.77 (define @t12 () (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 0.34/45.77 (define @t13 () (>= @t5 2)) % 0.34/45.77 (define @t14 () (@var "U" tptp.collection)) % 0.34/45.77 (define @t15 () (tptp.in @t5 @t14)) % 0.34/45.77 (define @t16 () (@list @t5)) % 0.34/45.77 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.34/45.77 (define @t18 () (@var "W" Int)) % 0.34/45.77 (define @t19 () (@list @t18)) % 0.34/45.77 (define @t20 () (forall @t19 (= (tptp.in @t18 @t14) (tptp.in @t18 (tptp.remove 0 (tptp.remove 1 @t14)))))) % 0.34/45.77 (define @t21 () (>= @t3 0)) % 0.34/45.77 (define @t22 () (tptp.in @t3 @t14)) % 0.34/45.77 (define @t23 () (@list @t3)) % 0.34/45.77 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.34/45.77 (define @t25 () (and @t24 @t20)) % 0.34/45.77 (define @t26 () (=> @t25 @t17)) % 0.34/45.77 (define @t27 () (@list @t14)) % 0.34/45.77 (define @t28 () (forall @t27 @t26)) % 0.34/45.77 (define @t29 () (not @t28)) % 0.34/45.77 (define @t30 () (@var "BOUND_VARIABLE_7495" Int)) % 0.34/45.77 (define @t31 () (>= @t30 2)) % 0.34/45.77 (define @t32 () (not (tptp.in @t30 @t14))) % 0.34/45.77 (define @t33 () (not @t20)) % 0.34/45.77 (define @t34 () (forall @t23 (or (not @t22) @t21))) % 0.34/45.77 (define @t35 () (not @t34)) % 0.34/45.77 (define @t36 () (or @t35 @t33 @t32 @t31)) % 0.34/45.77 (define @t37 () (or @t32 @t31)) % 0.34/45.77 (define @t38 () (or @t35 @t33 @t37)) % 0.34/45.77 (define @t39 () (@list @t14 @t30)) % 0.34/45.77 (define @t40 () (forall @t39 @t38)) % 0.34/45.77 (define @t41 () (@list @t30)) % 0.34/45.77 (define @t42 () (forall @t41 @t38)) % 0.34/45.77 (define @t43 () (forall @t41 @t37)) % 0.34/45.77 (define @t44 () (or @t35 @t33 @t43)) % 0.34/45.77 (define @t45 () (forall @t16 (or (not @t15) @t13))) % 0.34/45.77 (define @t46 () (or @t35 @t33 @t45)) % 0.34/45.77 (define @t47 () (and @t34 @t20)) % 0.34/45.77 (define @t48 () (forall @t39 @t36)) % 0.34/45.77 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.34/45.77 (define @t50 () (>= @t49 2)) % 0.34/45.77 (define @t51 () (@quantifiers_skolemize @t48 0)) % 0.34/45.77 (define @t52 () (tptp.in @t49 @t51)) % 0.34/45.77 (define @t53 () (not @t52)) % 0.34/45.77 (define @t54 () (tptp.remove 1 @t51)) % 0.34/45.77 (define @t55 () (tptp.remove 0 @t54)) % 0.34/45.77 (define @t56 () (forall @t19 (= (tptp.in @t18 @t51) (tptp.in @t18 @t55)))) % 0.34/45.77 (define @t57 () (not @t56)) % 0.34/45.77 (define @t58 () (forall @t23 (or (not (tptp.in @t3 @t51)) @t21))) % 0.34/45.77 (define @t59 () (not @t58)) % 0.34/45.77 (define @t60 () (or @t59 @t57 @t53 @t50)) % 0.34/45.77 (define @t61 () (not @t50)) % 0.34/45.77 (define @t62 () (@list true)) % 0.34/45.77 (define @t63 () (@list @t60)) % 0.34/45.77 (define @t64 () (@list @t49)) % 0.34/45.77 (define @t65 () (>= @t49 0)) % 0.34/45.77 (define @t66 () (or @t53 @t65)) % 0.34/45.77 (define @t67 () (@list false false)) % 0.34/45.77 (define @t68 () (= @t49 0)) % 0.34/45.77 (define @t69 () (not @t68)) % 0.34/45.77 (define @t70 () (tptp.in @t49 @t54)) % 0.34/45.77 (define @t71 () (and @t70 @t69)) % 0.34/45.77 (define @t72 () (tptp.in @t49 @t55)) % 0.34/45.77 (define @t73 () (= @t71 @t72)) % 0.34/45.77 (define @t74 () (= @t72 @t71)) % 0.34/45.77 (define @t75 () (@list false)) % 0.34/45.77 (define @t76 () (= @t52 @t72)) % 0.34/45.77 (define @t77 () (not @t71)) % 0.34/45.77 (define @t78 () (@list @t71)) % 0.34/45.77 (define @t79 () (not @t70)) % 0.34/45.77 (define @t80 () (tptp.in 1 @t54)) % 0.34/45.77 (define @t81 () (not @t65)) % 0.34/45.77 (define @t82 () (not @t80)) % 0.34/45.77 (define @t83 () (= 1 @t49)) % 0.34/45.77 (define @t84 () (and @t70 @t83 @t82)) % 0.34/45.77 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.34/45.77 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.34/45.77 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.34/45.77 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.34/45.77 (assume @p5 @t12) % 0.34/45.77 (assume @p6 @t29) % 0.34/45.77 (assume @p7 true) % 0.34/45.77 (step @p8 :rule aci_norm :args ((= @t38 @t36))) % 0.34/45.77 (step @p9 :rule cong :premises (@p8) :args (@t40)) % 0.34/45.77 (step @p10 :rule quant-merge-prenex :args ((= (forall @t27 @t42) @t40))) % 0.34/45.77 (step @p11 :rule alpha_equiv :args (@t43 (@list @t30) (@list @t5))) % 0.34/45.77 (step @p12 :rule refl :args (@t33)) % 0.34/45.77 (step @p13 :rule refl :args (@t35)) % 0.34/45.77 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11) :args (@t44)) % 0.34/45.77 (step @p15 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.34/45.77 (step @p16 :rule trans :premises (@p15 @p14)) % 0.34/45.77 (step @p17 :rule symm :premises (@p16)) % 0.34/45.77 (step @p18 :rule cong :premises (@p17) :args ((forall @t27 @t46))) % 0.34/45.77 (step @p19 :rule trans :premises (@p18 @p10)) % 0.34/45.77 (step @p20 :rule trans :premises (@p19 @p9)) % 0.34/45.77 (step @p21 :rule aci_norm :args ((= (or (or @t35 @t33) @t45) @t46))) % 0.34/45.77 (step @p22 :rule refl :args (@t45)) % 0.34/45.77 (step @p23 :rule bool-and-de-morgan :args (@t34 @t20 true)) % 0.34/45.77 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t47) @t45))) % 0.34/45.77 (step @p25 :rule trans :premises (@p24 @p21)) % 0.34/45.77 (step @p26 :rule bool-impl-elim :args (@t47 @t45)) % 0.34/45.77 (step @p27 :rule trans :premises (@p26 @p25)) % 0.34/45.77 (step @p28 :rule cong :premises (@p27) :args ((forall @t27 (=> @t47 @t45)))) % 0.34/45.77 (step @p29 :rule trans :premises (@p28 @p20)) % 0.34/45.77 (step @p30 :rule bool-impl-elim :args (@t15 @t13)) % 0.34/45.77 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 0.34/45.77 (step @p32 :rule refl :args (@t20)) % 0.34/45.77 (step @p33 :rule bool-impl-elim :args (@t22 @t21)) % 0.34/45.77 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 0.34/45.77 (step @p35 :rule nary_cong :premises (@p34 @p32) :args (@t25)) % 0.34/45.77 (step @p36 :rule cong :premises (@p35 @p31) :args (@t26)) % 0.34/45.77 (step @p37 :rule cong :premises (@p36) :args (@t28)) % 0.34/45.77 (step @p38 :rule trans :premises (@p37 @p29)) % 0.34/45.77 (step @p39 :rule cong :premises (@p38) :args (@t29)) % 0.34/45.77 (step @p40 :rule eq_resolve :premises (@p6 @p39)) % 0.34/45.77 (step @p41 :rule skolemize :premises (@p40)) % 0.34/45.77 (step @p42 :rule cnf_or_neg :args (@t60 3)) % 0.34/45.77 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args (@t61 @t62 @t63)) % 0.34/45.77 (step @p44 :rule bool-double-not-elim :args (@t58)) % 0.34/45.77 (step @p45 :rule refl :args (@t60)) % 0.34/45.77 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t60 (not @t59)))) % 0.34/45.77 (step @p47 :rule cnf_or_neg :args (@t60 0)) % 0.34/45.77 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.34/45.77 (step @p49 :rule reordering :premises (@p48) :args ((or @t58 @t60))) % 0.34/45.77 (step @p50 :rule chain_m_resolution :premises (@p49 @p41) :args (@t58 @t62 @t63)) % 0.34/45.77 (step @p51 :rule instantiate :premises (@p50) :args (@t64)) % 0.34/45.77 (step @p52 :rule bool-double-not-elim :args (@t52)) % 0.34/45.77 (step @p53 :rule nary_cong :premises (@p45 @p52) :args ((or @t60 (not @t53)))) % 0.34/45.77 (step @p54 :rule cnf_or_neg :args (@t60 2)) % 0.34/45.77 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.34/45.77 (step @p56 :rule reordering :premises (@p55) :args ((or @t52 @t60))) % 0.34/45.77 (step @p57 :rule chain_m_resolution :premises (@p56 @p41) :args (@t52 @t62 @t63)) % 0.34/45.77 (step @p58 :rule cnf_or_pos :args (@t66)) % 0.34/45.77 (step @p59 :rule reordering :premises (@p58) :args ((or @t53 @t65 (not @t66)))) % 0.34/45.77 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p51) :args (@t65 @t67 (@list @t52 @t66))) % 0.34/45.77 (step @p61 :rule instantiate :premises (@p3) :args ((@list 1 @t51))) % 0.34/45.77 (step @p62 :rule eq-symm :args (@t71 @t72)) % 0.34/45.77 (step @p63 :rule refl :args (@t12)) % 0.34/45.77 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t12 @t73))) % 0.34/45.77 (assume-push @p139 @t12) % 0.34/45.77 (step @p66 :rule instantiate :premises (@p5) :args ((@list @t49 @t54 0))) % 0.34/45.77 (step-pop @p140 :rule scope :premises (@p66)) % 0.34/45.77 (step @p67 :rule process_scope :premises (@p140) :args (@t73)) % 0.34/45.77 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.34/45.77 (step @p70 :rule implies_elim :premises (@p69)) % 0.34/45.77 (step @p71 :rule chain_m_resolution :premises (@p70 @p5) :args (@t74 @t75 (@list @t12))) % 0.34/45.77 (step @p72 :rule bool-double-not-elim :args (@t56)) % 0.34/45.77 (step @p73 :rule nary_cong :premises (@p45 @p72) :args ((or @t60 (not @t57)))) % 0.34/45.77 (step @p74 :rule cnf_or_neg :args (@t60 1)) % 0.34/45.77 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.34/45.77 (step @p76 :rule reordering :premises (@p75) :args ((or @t56 @t60))) % 0.34/45.77 (step @p77 :rule chain_m_resolution :premises (@p76 @p41) :args (@t56 @t62 @t63)) % 0.34/45.77 (step @p78 :rule instantiate :premises (@p77) :args (@t64)) % 0.34/45.77 (step @p79 :rule cnf_equiv_pos1 :args (@t76)) % 0.34/45.77 (step @p80 :rule reordering :premises (@p79) :args ((or @t53 @t72 (not @t76)))) % 0.34/45.77 (step @p81 :rule chain_m_resolution :premises (@p80 @p57 @p78) :args (@t72 @t67 (@list @t52 @t76))) % 0.34/45.77 (step @p82 :rule cnf_equiv_pos1 :args (@t74)) % 0.34/45.77 (step @p83 :rule reordering :premises (@p82) :args ((or (not @t72) @t71 (not @t74)))) % 0.34/45.77 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p71) :args (@t71 @t67 (@list @t72 @t74))) % 0.34/45.77 (step @p85 :rule cnf_and_pos :args (@t71 0)) % 0.34/45.77 (step @p86 :rule reordering :premises (@p85) :args ((or @t70 @t77))) % 0.34/45.77 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t70 @t75 @t78)) % 0.34/45.77 (step @p88 :rule cnf_and_pos :args (@t71 1)) % 0.34/45.77 (step @p89 :rule reordering :premises (@p88) :args ((or @t69 @t77))) % 0.34/45.77 (step @p90 :rule chain_m_resolution :premises (@p89 @p84) :args (@t69 @t75 @t78)) % 0.34/45.77 (step @p91 :rule bool-double-not-elim :args (@t68)) % 0.34/45.77 (step @p92 :rule refl :args (@t79)) % 0.34/45.77 (step @p93 :rule bool-double-not-elim :args (@t80)) % 0.34/45.77 (step @p94 :rule refl :args (@t81)) % 0.34/45.77 (step @p95 :rule bool-double-not-elim :args (@t50)) % 0.34/45.77 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91) :args ((or (not @t61) @t81 (not @t82) @t79 (not @t69)))) % 0.34/45.77 (assume-push @p141 @t70) % 0.34/45.77 (assume-push @p142 @t83) % 0.34/45.77 (assume-push @p143 @t82) % 0.34/45.77 (step @p100 :rule evaluate :args ((= false true))) % 0.34/45.77 (step @p101 :rule true_intro :premises (@p87)) % 0.34/45.77 (step @p102 :rule refl :args (@t54)) % 0.34/45.77 (step @p103 :rule arith-elim-lt :args (@t49 2)) % 0.34/45.77 (step @p104 :rule symm :premises (@p103)) % 0.34/45.77 (step @p105 :rule eq_resolve :premises (@p43 @p104)) % 0.34/45.77 (step @p106 :rule int_tight_ub :premises (@p105)) % 0.34/45.77 (step @p107 :rule arith_trichotomy :premises (@p60 @p90)) % 0.34/45.77 (step @p108 :rule int_tight_lb :premises (@p107)) % 0.34/45.77 (step @p109 :rule arith_trichotomy :premises (@p108 @p106)) % 0.34/45.77 (step @p110 :rule symm :premises (@p109)) % 0.34/45.77 (step @p111 :rule cong :premises (@p110 @p102) :args (@t80)) % 0.34/45.77 (step @p112 :rule false_intro :premises (@p61)) % 0.34/45.77 (step @p113 :rule symm :premises (@p112)) % 0.34/45.77 (step @p114 :rule trans :premises (@p113 @p111 @p101)) % 0.34/45.77 (step @p115 false :rule eq_resolve :premises (@p114 @p100)) % 0.34/45.77 (step-pop @p144 :rule scope :premises (@p115)) % 0.34/45.77 (step-pop @p145 :rule scope :premises (@p144)) % 0.34/45.77 (step-pop @p146 :rule scope :premises (@p145)) % 0.34/45.77 (step @p116 :rule process_scope :premises (@p146) :args (false)) % 0.34/45.77 (assume-push @p147 @t61) % 0.34/45.77 (assume-push @p148 @t65) % 0.34/45.77 (assume-push @p149 @t82) % 0.34/45.77 (assume-push @p150 @t70) % 0.34/45.77 (assume-push @p151 @t69) % 0.34/45.77 (step @p103 :rule arith-elim-lt :args (@t49 2)) % 0.34/45.77 (step @p104 :rule symm :premises (@p103)) % 0.34/45.77 (step @p105 :rule eq_resolve :premises (@p43 @p104)) % 0.34/45.77 (step @p106 :rule int_tight_ub :premises (@p105)) % 0.34/45.77 (step @p107 :rule arith_trichotomy :premises (@p60 @p90)) % 0.34/45.77 (step @p108 :rule int_tight_lb :premises (@p107)) % 0.34/45.77 (step @p109 :rule arith_trichotomy :premises (@p108 @p106)) % 0.34/45.77 (step @p125 :rule symm :premises (@p109)) % 0.34/45.77 (step @p126 :rule and_intro :premises (@p87 @p125 @p61)) % 0.34/45.77 (step-pop @p152 :rule scope :premises (@p126)) % 0.34/45.77 (step-pop @p153 :rule scope :premises (@p152)) % 0.34/45.77 (step-pop @p154 :rule scope :premises (@p153)) % 0.34/45.77 (step-pop @p155 :rule scope :premises (@p154)) % 0.34/45.77 (step-pop @p156 :rule scope :premises (@p155)) % 0.34/45.77 (step @p127 :rule process_scope :premises (@p156) :args (@t84)) % 0.34/45.77 (step @p133 :rule implies_elim :premises (@p127)) % 0.34/45.77 (step @p134 :rule resolution :premises (@p133 @p116) :args (true @t84)) % 0.34/45.77 (step @p135 :rule not_and :premises (@p134)) % 0.34/45.77 (step @p136 :rule eq_resolve :premises (@p135 @p96)) % 0.34/45.77 (step @p137 :rule reordering :premises (@p136) :args ((or @t50 @t81 @t80 @t68 @t79))) % 0.34/45.77 (step @p138 false :rule chain_m_resolution :premises (@p137 @p90 @p87 @p61 @p60 @p43) :args (false (@list true false true false true) (@list @t68 @t70 @t80 @t65 @t50))) % 0.34/45.77 ) % 0.34/45.77 % SZS output end Proof % 0.34/45.77 % cvc5 exiting %------------------------------------------------------------------------------