%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI612_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:07:58 AM UTC 2026 % Result : Theorem 0.42s 0.62s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ARI612_1 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:28:46 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.42/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.62 % SZS status Theorem % 0.42/0.62 % SZS output start Proof % 0.42/0.62 ( % 0.42/0.62 (declare-const tptp.q (-> Int Bool)) % 0.42/0.62 (declare-const tptp.p (-> Int Bool)) % 0.42/0.62 (define @t1 () (@var "X" Int)) % 0.42/0.62 (define @t2 () (tptp.p @t1)) % 0.42/0.62 (define @t3 () (tptp.q @t1)) % 0.42/0.62 (define @t4 () (@list @t1)) % 0.42/0.62 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.42/0.62 (define @t6 () (and (< 8 @t1) (< @t1 12))) % 0.42/0.62 (define @t7 () (= @t6 @t3)) % 0.42/0.62 (define @t8 () (forall @t4 @t7)) % 0.42/0.62 (define @t9 () (and (< 5 @t1) (< @t1 15))) % 0.42/0.62 (define @t10 () (= @t9 @t2)) % 0.42/0.62 (define @t11 () (forall @t4 @t10)) % 0.42/0.62 (define @t12 () (and @t11 @t8)) % 0.42/0.62 (define @t13 () (=> @t12 @t5)) % 0.42/0.62 (define @t14 () (not @t13)) % 0.42/0.62 (define @t15 () (>= @t1 9)) % 0.42/0.62 (define @t16 () (+ @t1 1)) % 0.42/0.62 (define @t17 () (>= 8 @t1)) % 0.42/0.62 (define @t18 () (>= @t1 6)) % 0.42/0.62 (define @t19 () (>= 5 @t1)) % 0.42/0.62 (define @t20 () (@quantifiers_skolemize (forall @t4 (or (not @t3) @t2)) 0)) % 0.42/0.62 (define @t21 () (@list @t20)) % 0.42/0.62 (define @t22 () (tptp.p @t20)) % 0.42/0.62 (define @t23 () (tptp.q @t20)) % 0.42/0.62 (define @t24 () (not @t23)) % 0.42/0.62 (define @t25 () (or @t24 @t22)) % 0.42/0.62 (define @t26 () (@list true)) % 0.42/0.62 (define @t27 () (@list @t25)) % 0.42/0.62 (define @t28 () (>= @t20 15)) % 0.42/0.62 (define @t29 () (not @t28)) % 0.42/0.62 (define @t30 () (>= @t20 6)) % 0.42/0.62 (define @t31 () (and @t30 @t29)) % 0.42/0.62 (define @t32 () (= @t22 @t31)) % 0.42/0.62 (define @t33 () (not @t31)) % 0.42/0.62 (define @t34 () (>= @t20 12)) % 0.42/0.62 (define @t35 () (not @t34)) % 0.42/0.62 (define @t36 () (>= @t20 9)) % 0.42/0.62 (define @t37 () (and @t36 @t35)) % 0.42/0.62 (define @t38 () (= @t23 @t37)) % 0.42/0.62 (define @t39 () (not @t37)) % 0.42/0.62 (define @t40 () (@list false)) % 0.42/0.62 (define @t41 () (@list @t37)) % 0.42/0.62 (define @t42 () (< @t20 6)) % 0.42/0.62 (define @t43 () (* -1 9)) % 0.42/0.62 (define @t44 () (+ 6 @t43)) % 0.42/0.62 (define @t45 () (* -1 @t20)) % 0.42/0.62 (define @t46 () (+ @t20 @t45)) % 0.42/0.62 (define @t47 () (>= @t46 @t44)) % 0.42/0.62 (define @t48 () (< -1 0)) % 0.42/0.62 (define @t49 () (* -1 15)) % 0.42/0.62 (define @t50 () (+ @t49 11)) % 0.42/0.62 (define @t51 () (+ @t45 @t20)) % 0.42/0.62 (define @t52 () (not @t30)) % 0.42/0.62 (assume @p1 @t14) % 0.42/0.62 (assume @p2 true) % 0.42/0.62 (step @p3 :rule bool-impl-elim :args (@t3 @t2)) % 0.42/0.62 (step @p4 :rule cong :premises (@p3) :args (@t5)) % 0.42/0.62 (step @p5 :rule eq-symm :args ((and @t15 (not (>= @t1 12))) @t3)) % 0.42/0.62 (step @p6 :rule refl :args (@t3)) % 0.42/0.62 (step @p7 :rule arith-elim-lt :args (@t1 12)) % 0.42/0.62 (step @p8 :rule bool-double-not-elim :args (@t15)) % 0.42/0.62 (step @p9 :rule arith_poly_norm :args ((= (* 8 (- 9 @t16)) (* 8 (- 8 @t1))))) % 0.42/0.62 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= (>= 9 @t16) @t17))) % 0.42/0.62 (step @p11 :rule arith-geq-tighten :args (@t1 9)) % 0.42/0.62 (step @p12 :rule trans :premises (@p11 @p10)) % 0.42/0.62 (step @p13 :rule symm :premises (@p12)) % 0.42/0.62 (step @p14 :rule cong :premises (@p13) :args ((not @t17))) % 0.42/0.62 (step @p15 :rule trans :premises (@p14 @p8)) % 0.42/0.62 (step @p16 :rule arith-elim-lt :args (8 @t1)) % 0.42/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.42/0.62 (step @p18 :rule nary_cong :premises (@p17 @p7) :args (@t6)) % 0.42/0.62 (step @p19 :rule cong :premises (@p18 @p6) :args (@t7)) % 0.42/0.62 (step @p20 :rule trans :premises (@p19 @p5)) % 0.42/0.62 (step @p21 :rule cong :premises (@p20) :args (@t8)) % 0.42/0.62 (step @p22 :rule eq-symm :args ((and @t18 (not (>= @t1 15))) @t2)) % 0.42/0.62 (step @p23 :rule refl :args (@t2)) % 0.42/0.62 (step @p24 :rule arith-elim-lt :args (@t1 15)) % 0.42/0.62 (step @p25 :rule bool-double-not-elim :args (@t18)) % 0.42/0.62 (step @p26 :rule arith_poly_norm :args ((= (* 5 (- 6 @t16)) (* 5 (- 5 @t1))))) % 0.42/0.62 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= (>= 6 @t16) @t19))) % 0.42/0.62 (step @p28 :rule arith-geq-tighten :args (@t1 6)) % 0.42/0.62 (step @p29 :rule trans :premises (@p28 @p27)) % 0.42/0.62 (step @p30 :rule symm :premises (@p29)) % 0.42/0.62 (step @p31 :rule cong :premises (@p30) :args ((not @t19))) % 0.42/0.62 (step @p32 :rule trans :premises (@p31 @p25)) % 0.42/0.62 (step @p33 :rule arith-elim-lt :args (5 @t1)) % 0.42/0.62 (step @p34 :rule trans :premises (@p33 @p32)) % 0.42/0.62 (step @p35 :rule nary_cong :premises (@p34 @p24) :args (@t9)) % 0.42/0.62 (step @p36 :rule cong :premises (@p35 @p23) :args (@t10)) % 0.42/0.62 (step @p37 :rule trans :premises (@p36 @p22)) % 0.42/0.62 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.42/0.62 (step @p39 :rule nary_cong :premises (@p38 @p21) :args (@t12)) % 0.42/0.62 (step @p40 :rule cong :premises (@p39 @p4) :args (@t13)) % 0.42/0.62 (step @p41 :rule cong :premises (@p40) :args (@t14)) % 0.42/0.62 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.42/0.62 (step @p43 :rule not_implies_elim1 :premises (@p42)) % 0.42/0.62 (step @p44 :rule and_elim :premises (@p43) :args (0)) % 0.42/0.62 (step @p45 :rule instantiate :premises (@p44) :args (@t21)) % 0.42/0.62 (step @p46 :rule not_implies_elim2 :premises (@p42)) % 0.42/0.62 (step @p47 :rule skolemize :premises (@p46)) % 0.42/0.62 (step @p48 :rule cnf_or_neg :args (@t25 1)) % 0.42/0.62 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t22) @t26 @t27)) % 0.42/0.62 (step @p50 :rule cnf_equiv_pos2 :args (@t32)) % 0.42/0.62 (step @p51 :rule reordering :premises (@p50) :args ((or @t22 @t33 (not @t32)))) % 0.42/0.62 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45) :args (@t33 (@list true false) (@list @t22 @t32))) % 0.42/0.62 (step @p53 :rule and_elim :premises (@p43) :args (1)) % 0.42/0.62 (step @p54 :rule instantiate :premises (@p53) :args (@t21)) % 0.42/0.62 (step @p55 :rule bool-double-not-elim :args (@t23)) % 0.42/0.62 (step @p56 :rule refl :args (@t25)) % 0.42/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t25 (not @t24)))) % 0.42/0.62 (step @p58 :rule cnf_or_neg :args (@t25 0)) % 0.42/0.62 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.42/0.62 (step @p60 :rule reordering :premises (@p59) :args ((or @t23 @t25))) % 0.42/0.62 (step @p61 :rule chain_m_resolution :premises (@p60 @p47) :args (@t23 @t26 @t27)) % 0.42/0.62 (step @p62 :rule cnf_equiv_pos1 :args (@t38)) % 0.42/0.62 (step @p63 :rule reordering :premises (@p62) :args ((or @t24 @t37 (not @t38)))) % 0.42/0.62 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p54) :args (@t37 (@list false false) (@list @t23 @t38))) % 0.42/0.62 (step @p65 :rule cnf_and_pos :args (@t37 0)) % 0.42/0.62 (step @p66 :rule reordering :premises (@p65) :args ((or @t36 @t39))) % 0.42/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t36 @t40 @t41)) % 0.42/0.62 (assume-push @p157 @t36) % 0.42/0.62 (assume-push @p158 @t36) % 0.42/0.62 (step @p70 :rule bool-double-not-elim :args (@t30)) % 0.42/0.62 (step @p71 :rule arith-elim-lt :args (@t20 6)) % 0.42/0.62 (step @p72 :rule cong :premises (@p71) :args ((not @t42))) % 0.42/0.62 (step @p73 :rule trans :premises (@p72 @p70)) % 0.42/0.62 (assume-push @p159 @t42) % 0.42/0.62 (step @p75 :rule evaluate :args ((not true))) % 0.42/0.62 (step @p76 :rule evaluate :args ((>= 0 -3))) % 0.42/0.62 (step @p77 :rule evaluate :args ((+ 6 -9))) % 0.42/0.62 (step @p78 :rule evaluate :args (@t43)) % 0.42/0.62 (step @p79 :rule refl :args (6)) % 0.42/0.62 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t44)) % 0.42/0.62 (step @p81 :rule trans :premises (@p80 @p77)) % 0.42/0.62 (step @p82 :rule arith_poly_norm :args ((= @t46 0))) % 0.42/0.62 (step @p83 :rule cong :premises (@p82 @p81) :args (@t47)) % 0.42/0.62 (step @p84 :rule trans :premises (@p83 @p76)) % 0.42/0.62 (step @p85 :rule cong :premises (@p84) :args ((not @t47))) % 0.42/0.62 (step @p86 :rule trans :premises (@p85 @p75)) % 0.42/0.62 (step @p87 :rule arith-elim-lt :args (@t46 @t44)) % 0.42/0.62 (step @p88 :rule trans :premises (@p87 @p86)) % 0.42/0.62 (step @p89 :rule arith_mult_neg :args (-1 @t36)) % 0.42/0.62 (step @p90 :rule evaluate :args (@t48)) % 0.42/0.62 (step @p91 :rule true_elim :premises (@p90)) % 0.42/0.62 (step @p92 :rule and_intro :premises (@p91 @p67)) % 0.42/0.62 (step @p93 :rule modus_ponens :premises (@p92 @p89)) % 0.42/0.62 (step @p94 :rule arith_sum_ub :premises (@p159 @p93)) % 0.42/0.62 (step @p95 false :rule eq_resolve :premises (@p94 @p88)) % 0.42/0.62 (step-pop @p160 :rule scope :premises (@p95)) % 0.42/0.62 (step @p96 :rule process_scope :premises (@p160) :args (false)) % 0.42/0.62 (step @p98 :rule eq_resolve :premises (@p96 @p73)) % 0.42/0.62 (step-pop @p161 :rule scope :premises (@p98)) % 0.42/0.62 (step @p99 :rule process_scope :premises (@p161) :args (@t30)) % 0.42/0.62 (step @p101 :rule modus_ponens :premises (@p67 @p99)) % 0.42/0.62 (step-pop @p162 :rule scope :premises (@p101)) % 0.42/0.62 (step @p102 :rule process_scope :premises (@p162) :args (@t30)) % 0.42/0.62 (step @p104 :rule implies_elim :premises (@p102)) % 0.42/0.62 (step @p105 :rule reordering :premises (@p104) :args ((or @t30 (not @t36)))) % 0.42/0.62 (step @p106 :rule chain_m_resolution :premises (@p105 @p67) :args (@t30 @t40 (@list @t36))) % 0.42/0.62 (step @p107 :rule cnf_and_pos :args (@t37 1)) % 0.42/0.62 (step @p108 :rule reordering :premises (@p107) :args ((or @t35 @t39))) % 0.42/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p64) :args (@t35 @t40 @t41)) % 0.42/0.62 (step @p110 :rule refl :args (@t29)) % 0.42/0.62 (step @p111 :rule bool-double-not-elim :args (@t34)) % 0.42/0.62 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t35) @t29))) % 0.42/0.62 (assume-push @p163 @t35) % 0.42/0.62 (assume-push @p164 @t35) % 0.42/0.62 (step @p115 :rule arith-elim-lt :args (@t20 15)) % 0.42/0.62 (step @p116 :rule symm :premises (@p115)) % 0.42/0.62 (assume-push @p165 @t28) % 0.42/0.62 (step @p118 :rule evaluate :args ((<= 0 -4))) % 0.49/0.63 (step @p119 :rule evaluate :args ((+ -15 11))) % 0.49/0.63 (step @p120 :rule refl :args (11)) % 0.49/0.63 (step @p121 :rule evaluate :args (@t49)) % 0.49/0.63 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t50)) % 0.49/0.63 (step @p123 :rule trans :premises (@p122 @p119)) % 0.49/0.63 (step @p124 :rule arith_poly_norm :args ((= @t51 0))) % 0.49/0.63 (step @p125 :rule cong :premises (@p124 @p123) :args ((<= @t51 @t50))) % 0.49/0.63 (step @p126 :rule trans :premises (@p125 @p118)) % 0.49/0.63 (step @p127 :rule arith-elim-lt :args (@t20 12)) % 0.49/0.63 (step @p128 :rule symm :premises (@p127)) % 0.49/0.63 (step @p129 :rule eq_resolve :premises (@p109 @p128)) % 0.49/0.63 (step @p130 :rule int_tight_ub :premises (@p129)) % 0.49/0.63 (step @p131 :rule arith_mult_neg :args (-1 @t28)) % 0.49/0.63 (step @p90 :rule evaluate :args (@t48)) % 0.49/0.63 (step @p91 :rule true_elim :premises (@p90)) % 0.49/0.63 (step @p132 :rule and_intro :premises (@p91 @p165)) % 0.49/0.63 (step @p133 :rule modus_ponens :premises (@p132 @p131)) % 0.49/0.63 (step @p134 :rule arith_sum_ub :premises (@p133 @p130)) % 0.49/0.63 (step @p135 false :rule eq_resolve :premises (@p134 @p126)) % 0.49/0.63 (step-pop @p166 :rule scope :premises (@p135)) % 0.49/0.63 (step @p136 :rule process_scope :premises (@p166) :args (false)) % 0.49/0.63 (step @p138 :rule eq_resolve :premises (@p136 @p116)) % 0.49/0.63 (step @p139 :rule eq_resolve :premises (@p138 @p115)) % 0.49/0.63 (step-pop @p167 :rule scope :premises (@p139)) % 0.49/0.63 (step @p140 :rule process_scope :premises (@p167) :args (@t29)) % 0.49/0.63 (step @p142 :rule modus_ponens :premises (@p109 @p140)) % 0.49/0.63 (step-pop @p168 :rule scope :premises (@p142)) % 0.49/0.63 (step @p143 :rule process_scope :premises (@p168) :args (@t29)) % 0.49/0.63 (step @p145 :rule implies_elim :premises (@p143)) % 0.49/0.63 (step @p146 :rule eq_resolve :premises (@p145 @p112)) % 0.49/0.63 (step @p147 :rule reordering :premises (@p146) :args ((or @t29 @t34))) % 0.49/0.63 (step @p148 :rule chain_m_resolution :premises (@p147 @p109) :args (@t29 @t26 (@list @t34))) % 0.49/0.63 (step @p149 :rule bool-double-not-elim :args (@t28)) % 0.49/0.63 (step @p150 :rule refl :args (@t52)) % 0.49/0.63 (step @p151 :rule refl :args (@t31)) % 0.49/0.63 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args ((or @t31 @t52 (not @t29)))) % 0.49/0.63 (step @p153 :rule cnf_and_neg :args (@t31)) % 0.49/0.63 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.49/0.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t28 @t31 @t52))) % 0.49/0.63 (step @p156 false :rule chain_m_resolution :premises (@p155 @p148 @p106 @p52) :args (false (@list true false true) (@list @t28 @t30 @t31))) % 0.49/0.63 ) % 0.49/0.63 % SZS output end Proof % 0.49/0.63 % cvc5 exiting %------------------------------------------------------------------------------