%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT024_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 45.50s 45.76s % Output : Proof 45.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT024_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n004.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:25:52 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 45.50/45.76 --- Run --finite-model-find --decision=internal at 45... % 45.50/45.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.50/45.76 % SZS status Theorem % 45.50/45.76 % SZS output start Proof % 45.50/45.76 ( % 45.50/45.76 (declare-sort tptp.collection 0) % 45.50/45.76 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.50/45.76 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.50/45.76 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.50/45.76 (declare-const tptp.empty tptp.collection) % 45.50/45.76 (define @t1 () (@var "U" Int)) % 45.50/45.76 (define @t2 () (@var "W" tptp.collection)) % 45.50/45.76 (define @t3 () (@var "V" Int)) % 45.50/45.76 (define @t4 () (@var "Y" tptp.collection)) % 45.50/45.76 (define @t5 () (@var "X" Int)) % 45.50/45.76 (define @t6 () (@var "X1" tptp.collection)) % 45.50/45.76 (define @t7 () (@var "X2" Int)) % 45.50/45.76 (define @t8 () (@var "Z" Int)) % 45.50/45.76 (define @t9 () (@var "X4" tptp.collection)) % 45.50/45.76 (define @t10 () (@var "X5" Int)) % 45.50/45.76 (define @t11 () (@var "X3" Int)) % 45.50/45.76 (define @t12 () (@var "W" Int)) % 45.50/45.76 (define @t13 () (>= @t12 2)) % 45.50/45.76 (define @t14 () (@var "U" tptp.collection)) % 45.50/45.76 (define @t15 () (tptp.in @t12 @t14)) % 45.50/45.76 (define @t16 () (@list @t12)) % 45.50/45.76 (define @t17 () (forall @t16 (=> @t15 @t13))) % 45.50/45.76 (define @t18 () (tptp.in 1 @t14)) % 45.50/45.76 (define @t19 () (not @t18)) % 45.50/45.76 (define @t20 () (tptp.in 0 @t14)) % 45.50/45.76 (define @t21 () (not @t20)) % 45.50/45.76 (define @t22 () (>= @t3 0)) % 45.50/45.76 (define @t23 () (tptp.in @t3 @t14)) % 45.50/45.76 (define @t24 () (@list @t3)) % 45.50/45.76 (define @t25 () (forall @t24 (=> @t23 @t22))) % 45.50/45.76 (define @t26 () (and @t25 @t21 @t19)) % 45.50/45.76 (define @t27 () (=> @t26 @t17)) % 45.50/45.76 (define @t28 () (@list @t14)) % 45.50/45.76 (define @t29 () (forall @t28 @t27)) % 45.50/45.76 (define @t30 () (not @t29)) % 45.50/45.76 (define @t31 () (@var "BOUND_VARIABLE_7491" Int)) % 45.50/45.76 (define @t32 () (>= @t31 2)) % 45.50/45.76 (define @t33 () (not (tptp.in @t31 @t14))) % 45.50/45.76 (define @t34 () (forall @t24 (or (not @t23) @t22))) % 45.50/45.76 (define @t35 () (not @t34)) % 45.50/45.76 (define @t36 () (or @t35 @t20 @t18 @t33 @t32)) % 45.50/45.76 (define @t37 () (or @t33 @t32)) % 45.50/45.76 (define @t38 () (or @t35 @t20 @t18 @t37)) % 45.50/45.76 (define @t39 () (@list @t14 @t31)) % 45.50/45.76 (define @t40 () (forall @t39 @t38)) % 45.50/45.76 (define @t41 () (@list @t31)) % 45.50/45.76 (define @t42 () (forall @t41 @t38)) % 45.50/45.76 (define @t43 () (forall @t41 @t37)) % 45.50/45.76 (define @t44 () (or @t35 @t20 @t18 @t43)) % 45.50/45.76 (define @t45 () (forall @t16 (or (not @t15) @t13))) % 45.50/45.76 (define @t46 () (or @t35 @t20 @t18 @t45)) % 45.50/45.76 (define @t47 () (not @t19)) % 45.50/45.76 (define @t48 () (not @t21)) % 45.50/45.76 (define @t49 () (or @t35 @t48 @t47)) % 45.50/45.76 (define @t50 () (and @t34 @t21 @t19)) % 45.50/45.76 (define @t51 () (forall @t39 @t36)) % 45.50/45.76 (define @t52 () (@quantifiers_skolemize @t51 1)) % 45.50/45.76 (define @t53 () (>= @t52 2)) % 45.50/45.76 (define @t54 () (@quantifiers_skolemize @t51 0)) % 45.50/45.76 (define @t55 () (tptp.in @t52 @t54)) % 45.50/45.76 (define @t56 () (not @t55)) % 45.50/45.76 (define @t57 () (tptp.in 1 @t54)) % 45.50/45.76 (define @t58 () (tptp.in 0 @t54)) % 45.50/45.76 (define @t59 () (forall @t24 (or (not (tptp.in @t3 @t54)) @t22))) % 45.50/45.76 (define @t60 () (not @t59)) % 45.50/45.76 (define @t61 () (or @t60 @t58 @t57 @t56 @t53)) % 45.50/45.76 (define @t62 () (not @t57)) % 45.50/45.76 (define @t63 () (@list true)) % 45.50/45.76 (define @t64 () (@list @t61)) % 45.50/45.76 (define @t65 () (not @t53)) % 45.50/45.76 (define @t66 () (not @t58)) % 45.50/45.76 (define @t67 () (= @t52 0)) % 45.50/45.76 (define @t68 () (not @t67)) % 45.50/45.76 (define @t69 () (= 0 @t52)) % 45.50/45.76 (define @t70 () (= false true)) % 45.50/45.76 (define @t71 () (and @t55 @t69 @t66)) % 45.50/45.76 (define @t72 () (>= @t52 0)) % 45.50/45.76 (define @t73 () (or @t56 @t72)) % 45.50/45.76 (define @t74 () (not @t72)) % 45.50/45.76 (define @t75 () (= 1 @t52)) % 45.50/45.76 (define @t76 () (and @t55 @t75 @t62)) % 45.50/45.76 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.50/45.76 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.50/45.76 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.50/45.76 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.50/45.76 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 45.50/45.76 (assume @p6 @t30) % 45.50/45.76 (assume @p7 true) % 45.50/45.76 (step @p8 :rule aci_norm :args ((= @t38 @t36))) % 45.50/45.76 (step @p9 :rule cong :premises (@p8) :args (@t40)) % 45.50/45.76 (step @p10 :rule quant-merge-prenex :args ((= (forall @t28 @t42) @t40))) % 45.50/45.76 (step @p11 :rule alpha_equiv :args (@t43 (@list @t31) (@list @t12))) % 45.50/45.76 (step @p12 :rule refl :args (@t18)) % 45.50/45.76 (step @p13 :rule refl :args (@t20)) % 45.50/45.76 (step @p14 :rule refl :args (@t35)) % 45.50/45.76 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p11) :args (@t44)) % 45.50/45.76 (step @p16 :rule quant-miniscope-or :args ((= @t42 @t44))) % 45.50/45.76 (step @p17 :rule trans :premises (@p16 @p15)) % 45.50/45.76 (step @p18 :rule symm :premises (@p17)) % 45.50/45.76 (step @p19 :rule cong :premises (@p18) :args ((forall @t28 @t46))) % 45.50/45.76 (step @p20 :rule trans :premises (@p19 @p10)) % 45.50/45.76 (step @p21 :rule trans :premises (@p20 @p9)) % 45.50/45.76 (step @p22 :rule aci_norm :args ((= (or (or @t35 @t20 @t18) @t45) @t46))) % 45.50/45.76 (step @p23 :rule refl :args (@t45)) % 45.50/45.76 (step @p24 :rule bool-double-not-elim :args (@t18)) % 45.50/45.76 (step @p25 :rule bool-double-not-elim :args (@t20)) % 45.50/45.76 (step @p26 :rule nary_cong :premises (@p14 @p25 @p24) :args (@t49)) % 45.50/45.76 (step @p27 :rule aci_norm :args ((= (or @t35 (or @t48 @t47)) @t49))) % 45.50/45.76 (step @p28 :rule trans :premises (@p27 @p26)) % 45.50/45.76 (step @p29 :rule bool-and-de-morgan :args (@t21 @t19 true)) % 45.50/45.76 (step @p30 :rule nary_cong :premises (@p14 @p29) :args ((or @t35 (not (and @t21 @t19))))) % 45.50/45.76 (step @p31 :rule bool-and-de-morgan :args (@t34 @t21 (and @t19))) % 45.50/45.76 (step @p32 :rule trans :premises (@p31 @p30)) % 45.50/45.76 (step @p33 :rule trans :premises (@p32 @p28)) % 45.50/45.76 (step @p34 :rule nary_cong :premises (@p33 @p23) :args ((or (not @t50) @t45))) % 45.50/45.76 (step @p35 :rule trans :premises (@p34 @p22)) % 45.50/45.76 (step @p36 :rule bool-impl-elim :args (@t50 @t45)) % 45.50/45.76 (step @p37 :rule trans :premises (@p36 @p35)) % 45.50/45.76 (step @p38 :rule cong :premises (@p37) :args ((forall @t28 (=> @t50 @t45)))) % 45.50/45.76 (step @p39 :rule trans :premises (@p38 @p21)) % 45.50/45.76 (step @p40 :rule bool-impl-elim :args (@t15 @t13)) % 45.50/45.76 (step @p41 :rule cong :premises (@p40) :args (@t17)) % 45.50/45.76 (step @p42 :rule refl :args (@t19)) % 45.50/45.76 (step @p43 :rule refl :args (@t21)) % 45.50/45.76 (step @p44 :rule bool-impl-elim :args (@t23 @t22)) % 45.50/45.76 (step @p45 :rule cong :premises (@p44) :args (@t25)) % 45.50/45.76 (step @p46 :rule nary_cong :premises (@p45 @p43 @p42) :args (@t26)) % 45.50/45.76 (step @p47 :rule cong :premises (@p46 @p41) :args (@t27)) % 45.50/45.76 (step @p48 :rule cong :premises (@p47) :args (@t29)) % 45.50/45.76 (step @p49 :rule trans :premises (@p48 @p39)) % 45.50/45.76 (step @p50 :rule cong :premises (@p49) :args (@t30)) % 45.50/45.76 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 45.50/45.76 (step @p52 :rule skolemize :premises (@p51)) % 45.50/45.76 (step @p53 :rule cnf_or_neg :args (@t61 2)) % 45.50/45.76 (step @p54 :rule chain_m_resolution :premises (@p53 @p52) :args (@t62 @t63 @t64)) % 45.50/45.76 (step @p55 :rule bool-double-not-elim :args (@t55)) % 45.50/45.76 (step @p56 :rule refl :args (@t61)) % 45.50/45.76 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t61 (not @t56)))) % 45.50/45.76 (step @p58 :rule cnf_or_neg :args (@t61 3)) % 45.50/45.76 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 45.50/45.76 (step @p60 :rule reordering :premises (@p59) :args ((or @t55 @t61))) % 45.50/45.76 (step @p61 :rule chain_m_resolution :premises (@p60 @p52) :args (@t55 @t63 @t64)) % 45.50/45.76 (step @p62 :rule cnf_or_neg :args (@t61 4)) % 45.50/45.76 (step @p63 :rule chain_m_resolution :premises (@p62 @p52) :args (@t65 @t63 @t64)) % 45.50/45.76 (step @p64 :rule cnf_or_neg :args (@t61 1)) % 45.50/45.76 (step @p65 :rule chain_m_resolution :premises (@p64 @p52) :args (@t66 @t63 @t64)) % 45.50/45.76 (step @p66 :rule refl :args (@t68)) % 45.50/45.76 (step @p67 :rule bool-double-not-elim :args (@t58)) % 45.50/45.76 (step @p68 :rule refl :args (@t56)) % 45.50/45.76 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args ((or @t56 (not @t66) @t68))) % 45.50/45.76 (assume-push @p166 @t55) % 45.50/45.76 (assume-push @p167 @t69) % 45.50/45.76 (assume-push @p168 @t66) % 45.50/45.76 (step @p73 :rule evaluate :args (@t70)) % 45.50/45.76 (step @p74 :rule true_intro :premises (@p61)) % 45.50/45.76 (step @p75 :rule refl :args (@t54)) % 45.50/45.76 (step @p76 :rule cong :premises (@p167 @p75) :args (@t58)) % 45.50/45.76 (step @p77 :rule false_intro :premises (@p65)) % 45.50/45.76 (step @p78 :rule symm :premises (@p77)) % 45.50/45.76 (step @p79 :rule trans :premises (@p78 @p76 @p74)) % 45.50/45.76 (step @p80 false :rule eq_resolve :premises (@p79 @p73)) % 45.50/45.76 (step-pop @p169 :rule scope :premises (@p80)) % 45.50/45.76 (step-pop @p170 :rule scope :premises (@p169)) % 45.50/45.76 (step-pop @p171 :rule scope :premises (@p170)) % 45.50/45.76 (step @p81 :rule process_scope :premises (@p171) :args (false)) % 45.50/45.76 (assume-push @p172 @t55) % 45.50/45.76 (assume-push @p173 @t66) % 45.50/45.76 (assume-push @p174 @t67) % 45.50/45.76 (assume-push @p175 @t67) % 45.50/45.76 (step @p89 :rule symm :premises (@p174)) % 45.50/45.76 (step-pop @p176 :rule scope :premises (@p89)) % 45.50/45.76 (step @p90 :rule process_scope :premises (@p176) :args (@t69)) % 45.50/45.76 (step @p92 :rule modus_ponens :premises (@p174 @p90)) % 45.50/45.76 (step @p93 :rule and_intro :premises (@p61 @p92 @p65)) % 45.50/45.76 (step-pop @p177 :rule scope :premises (@p93)) % 45.50/45.76 (step-pop @p178 :rule scope :premises (@p177)) % 45.50/45.76 (step-pop @p179 :rule scope :premises (@p178)) % 45.50/45.76 (step @p94 :rule process_scope :premises (@p179) :args (@t71)) % 45.50/45.76 (step @p98 :rule implies_elim :premises (@p94)) % 45.50/45.76 (step @p99 :rule resolution :premises (@p98 @p81) :args (true @t71)) % 45.50/45.76 (step @p100 :rule not_and :premises (@p99)) % 45.50/45.76 (step @p101 :rule eq_resolve :premises (@p100 @p69)) % 45.50/45.76 (step @p102 :rule reordering :premises (@p101) :args ((or @t58 @t56 @t68))) % 45.50/45.76 (step @p103 :rule chain_m_resolution :premises (@p102 @p65 @p61) :args (@t68 (@list true false) (@list @t58 @t55))) % 45.50/45.76 (step @p104 :rule bool-double-not-elim :args (@t59)) % 45.50/45.76 (step @p105 :rule nary_cong :premises (@p56 @p104) :args ((or @t61 (not @t60)))) % 45.50/45.76 (step @p106 :rule cnf_or_neg :args (@t61 0)) % 45.50/45.76 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 45.50/45.76 (step @p108 :rule reordering :premises (@p107) :args ((or @t59 @t61))) % 45.50/45.76 (step @p109 :rule chain_m_resolution :premises (@p108 @p52) :args (@t59 @t63 @t64)) % 45.50/45.76 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t52))) % 45.50/45.76 (step @p111 :rule cnf_or_pos :args (@t73)) % 45.50/45.76 (step @p112 :rule reordering :premises (@p111) :args ((or @t56 @t72 (not @t73)))) % 45.50/45.76 (step @p113 :rule chain_m_resolution :premises (@p112 @p61 @p110) :args (@t72 (@list false false) (@list @t55 @t73))) % 45.50/45.76 (step @p114 :rule refl :args (@t74)) % 45.50/45.76 (step @p115 :rule bool-double-not-elim :args (@t67)) % 45.50/45.76 (step @p116 :rule bool-double-not-elim :args (@t53)) % 45.50/45.76 (step @p117 :rule bool-double-not-elim :args (@t57)) % 45.50/45.76 (step @p118 :rule nary_cong :premises (@p68 @p117 @p116 @p115 @p114) :args ((or @t56 (not @t62) (not @t65) (not @t68) @t74))) % 45.50/45.76 (assume-push @p180 @t55) % 45.50/45.76 (assume-push @p181 @t75) % 45.50/45.76 (assume-push @p182 @t62) % 45.50/45.76 (step @p73 :rule evaluate :args (@t70)) % 45.50/45.76 (step @p74 :rule true_intro :premises (@p61)) % 45.50/45.76 (step @p75 :rule refl :args (@t54)) % 45.50/45.76 (step @p122 :rule cong :premises (@p181 @p75) :args (@t57)) % 45.50/45.76 (step @p123 :rule false_intro :premises (@p54)) % 45.50/45.76 (step @p124 :rule symm :premises (@p123)) % 45.50/45.76 (step @p125 :rule trans :premises (@p124 @p122 @p74)) % 45.50/45.76 (step @p126 false :rule eq_resolve :premises (@p125 @p73)) % 45.50/45.76 (step-pop @p183 :rule scope :premises (@p126)) % 45.50/45.76 (step-pop @p184 :rule scope :premises (@p183)) % 45.50/45.76 (step-pop @p185 :rule scope :premises (@p184)) % 45.50/45.76 (step @p127 :rule process_scope :premises (@p185) :args (false)) % 45.50/45.76 (assume-push @p186 @t55) % 45.50/45.76 (assume-push @p187 @t62) % 45.50/45.76 (assume-push @p188 @t65) % 45.50/45.76 (assume-push @p189 @t68) % 45.50/45.76 (assume-push @p190 @t72) % 45.50/45.76 (assume-push @p191 @t68) % 45.50/45.76 (assume-push @p192 @t72) % 45.50/45.76 (assume-push @p193 @t65) % 45.50/45.76 (step @p139 :rule arith-elim-lt :args (@t52 2)) % 45.50/45.76 (step @p140 :rule symm :premises (@p139)) % 45.50/45.76 (step @p141 :rule eq_resolve :premises (@p63 @p140)) % 45.50/45.76 (step @p142 :rule int_tight_ub :premises (@p141)) % 45.50/45.76 (step @p143 :rule arith_trichotomy :premises (@p189 @p113)) % 45.50/45.76 (step @p144 :rule int_tight_lb :premises (@p143)) % 45.50/45.76 (step @p145 :rule arith_trichotomy :premises (@p144 @p142)) % 45.50/45.76 (step @p146 :rule symm :premises (@p145)) % 45.50/45.76 (step-pop @p194 :rule scope :premises (@p146)) % 45.50/45.76 (step-pop @p195 :rule scope :premises (@p194)) % 45.50/45.76 (step-pop @p196 :rule scope :premises (@p195)) % 45.50/45.76 (step @p147 :rule process_scope :premises (@p196) :args (@t75)) % 45.50/45.76 (step @p151 :rule and_intro :premises (@p189 @p113 @p63)) % 45.50/45.76 (step @p152 :rule modus_ponens :premises (@p151 @p147)) % 45.50/45.76 (step @p153 :rule and_intro :premises (@p61 @p152 @p54)) % 45.50/45.76 (step-pop @p197 :rule scope :premises (@p153)) % 45.50/45.76 (step-pop @p198 :rule scope :premises (@p197)) % 45.50/45.76 (step-pop @p199 :rule scope :premises (@p198)) % 45.50/45.76 (step-pop @p200 :rule scope :premises (@p199)) % 45.50/45.76 (step-pop @p201 :rule scope :premises (@p200)) % 45.50/45.76 (step @p154 :rule process_scope :premises (@p201) :args (@t76)) % 45.50/45.76 (step @p160 :rule implies_elim :premises (@p154)) % 45.50/45.76 (step @p161 :rule resolution :premises (@p160 @p127) :args (true @t76)) % 45.50/45.76 (step @p162 :rule not_and :premises (@p161)) % 45.50/45.76 (step @p163 :rule eq_resolve :premises (@p162 @p118)) % 45.50/45.76 (step @p164 :rule reordering :premises (@p163) :args ((or @t57 @t56 @t53 @t67 @t74))) % 45.50/45.76 (step @p165 false :rule chain_m_resolution :premises (@p164 @p113 @p103 @p63 @p61 @p54) :args (false (@list false true true false true) (@list @t72 @t67 @t53 @t55 @t57))) % 45.50/45.76 ) % 45.50/45.76 % SZS output end Proof % 45.50/45.76 % cvc5 exiting %------------------------------------------------------------------------------