%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI607_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 : n011.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 0.64s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.12 % Problem : ARI607_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % 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 02:29:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_ARI % 0.42/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.64 % SZS status Theorem % 0.42/0.64 % SZS output start Proof % 0.42/0.64 ( % 0.42/0.64 (declare-const tptp.f (-> Int Int)) % 0.42/0.64 (define @t1 () (tptp.f 3)) % 0.42/0.64 (define @t2 () (tptp.f 7)) % 0.42/0.64 (define @t3 () (+ @t2 @t1)) % 0.42/0.64 (define @t4 () (tptp.f 5)) % 0.42/0.64 (define @t5 () (tptp.f 2)) % 0.42/0.64 (define @t6 () (+ @t5 @t4)) % 0.42/0.64 (define @t7 () (@var "Y" Int)) % 0.42/0.64 (define @t8 () (tptp.f @t7)) % 0.42/0.64 (define @t9 () (@var "X" Int)) % 0.42/0.64 (define @t10 () (tptp.f @t9)) % 0.42/0.64 (define @t11 () (=> (<= @t9 @t7) (<= @t10 @t8))) % 0.42/0.64 (define @t12 () (@list @t9 @t7)) % 0.42/0.64 (define @t13 () (forall @t12 @t11)) % 0.42/0.64 (define @t14 () (=> @t13 (<= @t6 @t3))) % 0.42/0.64 (define @t15 () (not @t14)) % 0.42/0.64 (define @t16 () (* -1 @t1)) % 0.42/0.64 (define @t17 () (* -1 @t2)) % 0.42/0.64 (define @t18 () (+ @t5 @t4 @t17 @t16)) % 0.42/0.64 (define @t19 () (+ @t3 1)) % 0.42/0.64 (define @t20 () (>= @t18 1)) % 0.42/0.64 (define @t21 () (>= @t6 @t19)) % 0.42/0.64 (define @t22 () (+ @t10 (* -1 @t8))) % 0.42/0.64 (define @t23 () (>= @t22 1)) % 0.42/0.64 (define @t24 () (not @t23)) % 0.42/0.64 (define @t25 () (+ @t9 (* -1 @t7))) % 0.42/0.64 (define @t26 () (>= @t25 1)) % 0.42/0.64 (define @t27 () (not @t26)) % 0.42/0.64 (define @t28 () (+ @t8 1)) % 0.42/0.64 (define @t29 () (>= @t10 @t28)) % 0.42/0.64 (define @t30 () (+ @t7 1)) % 0.42/0.64 (define @t31 () (>= @t9 @t30)) % 0.42/0.64 (define @t32 () (+ @t5 @t16)) % 0.42/0.64 (define @t33 () (>= @t32 1)) % 0.42/0.64 (define @t34 () (not @t33)) % 0.42/0.64 (define @t35 () (* -1 3)) % 0.42/0.64 (define @t36 () (+ 2 @t35)) % 0.42/0.64 (define @t37 () (>= @t36 1)) % 0.42/0.64 (define @t38 () (or @t37 @t34)) % 0.42/0.64 (define @t39 () (forall @t12 (or @t26 @t24))) % 0.42/0.64 (define @t40 () (@list false)) % 0.42/0.64 (define @t41 () (@list @t39)) % 0.42/0.64 (define @t42 () (+ @t4 @t17)) % 0.42/0.64 (define @t43 () (>= @t42 1)) % 0.42/0.64 (define @t44 () (not @t43)) % 0.42/0.64 (define @t45 () (* -1 7)) % 0.42/0.64 (define @t46 () (+ 5 @t45)) % 0.42/0.64 (define @t47 () (>= @t46 1)) % 0.42/0.64 (define @t48 () (or @t47 @t44)) % 0.42/0.64 (define @t49 () (not @t20)) % 0.42/0.64 (define @t50 () (+ 0 1)) % 0.42/0.64 (define @t51 () (>= @t42 @t50)) % 0.42/0.64 (define @t52 () (<= @t42 0)) % 0.42/0.64 (define @t53 () (* -1 1)) % 0.42/0.64 (define @t54 () (+ 0 @t53 1)) % 0.42/0.64 (define @t55 () (* 0 @t5)) % 0.42/0.64 (define @t56 () (* 0 @t4)) % 0.42/0.64 (define @t57 () (* 0 @t2)) % 0.42/0.64 (define @t58 () (* 0 @t1)) % 0.42/0.64 (define @t59 () (+ @t58 @t57 @t56 @t55)) % 0.42/0.64 (define @t60 () (+ @t42 (* -1 @t18) @t32)) % 0.42/0.64 (define @t61 () (>= @t60 @t54)) % 0.42/0.64 (define @t62 () (and @t34 @t20 @t44)) % 0.42/0.64 (assume @p1 @t15) % 0.42/0.64 (assume @p2 true) % 0.42/0.64 (step @p3 :rule arith_poly_norm :args ((= (* -1 (- @t6 @t19)) (* -1 (- @t18 1))))) % 0.42/0.64 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= @t21 @t20))) % 0.42/0.64 (step @p5 :rule cong :premises (@p4) :args ((not @t21))) % 0.42/0.64 (step @p6 :rule arith-leq-norm :args (@t6 @t3)) % 0.42/0.64 (step @p7 :rule trans :premises (@p6 @p5)) % 0.42/0.64 (step @p8 :rule refl :args (@t24)) % 0.42/0.64 (step @p9 :rule bool-double-not-elim :args (@t26)) % 0.42/0.64 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t27) @t24))) % 0.42/0.64 (step @p11 :rule bool-impl-elim :args (@t27 @t24)) % 0.42/0.64 (step @p12 :rule trans :premises (@p11 @p10)) % 0.42/0.64 (step @p13 :rule cong :premises (@p12) :args ((forall @t12 (=> @t27 @t24)))) % 0.42/0.64 (step @p14 :rule arith_poly_norm :args ((= (* -1 (- @t10 @t28)) (* -1 (- @t22 1))))) % 0.42/0.64 (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= @t29 @t23))) % 0.42/0.64 (step @p16 :rule cong :premises (@p15) :args ((not @t29))) % 0.42/0.64 (step @p17 :rule arith-leq-norm :args (@t10 @t8)) % 0.42/0.64 (step @p18 :rule trans :premises (@p17 @p16)) % 0.42/0.64 (step @p19 :rule arith_poly_norm :args ((= (* -1 (- @t9 @t30)) (* -1 (- @t25 1))))) % 0.42/0.64 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= @t31 @t26))) % 0.42/0.64 (step @p21 :rule cong :premises (@p20) :args ((not @t31))) % 0.42/0.64 (step @p22 :rule arith-leq-norm :args (@t9 @t7)) % 0.42/0.64 (step @p23 :rule trans :premises (@p22 @p21)) % 0.42/0.64 (step @p24 :rule cong :premises (@p23 @p18) :args (@t11)) % 0.42/0.64 (step @p25 :rule cong :premises (@p24) :args (@t13)) % 0.42/0.64 (step @p26 :rule trans :premises (@p25 @p13)) % 0.42/0.64 (step @p27 :rule cong :premises (@p26 @p7) :args (@t14)) % 0.42/0.64 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.42/0.64 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.42/0.64 (step @p30 :rule not_implies_elim2 :premises (@p29)) % 0.42/0.64 (step @p31 :rule not_not_elim :premises (@p30)) % 0.42/0.64 (step @p32 :rule not_implies_elim1 :premises (@p29)) % 0.42/0.64 (step @p33 :rule aci_norm :args ((= (or false @t34) @t34))) % 0.42/0.64 (step @p34 :rule refl :args (@t34)) % 0.42/0.64 (step @p35 :rule evaluate :args ((>= -1 1))) % 0.42/0.64 (step @p36 :rule refl :args (1)) % 0.42/0.64 (step @p37 :rule evaluate :args ((+ 2 -3))) % 0.42/0.64 (step @p38 :rule evaluate :args (@t35)) % 0.42/0.64 (step @p39 :rule refl :args (2)) % 0.42/0.64 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t36)) % 0.42/0.64 (step @p41 :rule trans :premises (@p40 @p37)) % 0.42/0.64 (step @p42 :rule cong :premises (@p41 @p36) :args (@t37)) % 0.42/0.64 (step @p43 :rule trans :premises (@p42 @p35)) % 0.42/0.64 (step @p44 :rule nary_cong :premises (@p43 @p34) :args (@t38)) % 0.42/0.64 (step @p45 :rule trans :premises (@p44 @p33)) % 0.42/0.64 (step @p46 :rule refl :args (@t39)) % 0.42/0.64 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t39 @t38))) % 0.42/0.64 (assume-push @p158 @t39) % 0.42/0.64 (step @p49 :rule instantiate :premises (@p32) :args ((@list 2 3))) % 0.42/0.64 (step-pop @p159 :rule scope :premises (@p49)) % 0.42/0.64 (step @p50 :rule process_scope :premises (@p159) :args (@t38)) % 0.42/0.64 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.42/0.64 (step @p53 :rule implies_elim :premises (@p52)) % 0.42/0.64 (step @p54 :rule chain_m_resolution :premises (@p53 @p32) :args (@t34 @t40 @t41)) % 0.42/0.64 (step @p55 :rule aci_norm :args ((= (or false @t44) @t44))) % 0.42/0.64 (step @p56 :rule refl :args (@t44)) % 0.42/0.64 (step @p57 :rule evaluate :args ((>= -2 1))) % 0.42/0.64 (step @p58 :rule evaluate :args ((+ 5 -7))) % 0.42/0.64 (step @p59 :rule evaluate :args (@t45)) % 0.42/0.64 (step @p60 :rule refl :args (5)) % 0.42/0.64 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t46)) % 0.42/0.64 (step @p62 :rule trans :premises (@p61 @p58)) % 0.42/0.64 (step @p63 :rule cong :premises (@p62 @p36) :args (@t47)) % 0.42/0.64 (step @p64 :rule trans :premises (@p63 @p57)) % 0.42/0.64 (step @p65 :rule nary_cong :premises (@p64 @p56) :args (@t48)) % 0.42/0.64 (step @p66 :rule trans :premises (@p65 @p55)) % 0.42/0.64 (step @p67 :rule cong :premises (@p46 @p66) :args ((=> @t39 @t48))) % 0.42/0.64 (assume-push @p160 @t39) % 0.42/0.64 (step @p69 :rule instantiate :premises (@p32) :args ((@list 5 7))) % 0.42/0.64 (step-pop @p161 :rule scope :premises (@p69)) % 0.42/0.64 (step @p70 :rule process_scope :premises (@p161) :args (@t48)) % 0.42/0.64 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.42/0.64 (step @p73 :rule implies_elim :premises (@p72)) % 0.42/0.64 (step @p74 :rule chain_m_resolution :premises (@p73 @p32) :args (@t44 @t40 @t41)) % 0.42/0.64 (step @p75 :rule bool-double-not-elim :args (@t43)) % 0.42/0.64 (step @p76 :rule bool-double-not-elim :args (@t33)) % 0.42/0.64 (step @p77 :rule refl :args (@t49)) % 0.42/0.64 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args ((or @t49 (not @t34) (not @t44)))) % 0.42/0.64 (assume-push @p162 @t34) % 0.42/0.64 (assume-push @p163 @t20) % 0.42/0.64 (assume-push @p164 @t44) % 0.42/0.64 (step @p82 :rule arith-elim-leq :args (@t42 0)) % 0.42/0.64 (step @p83 :rule symm :premises (@p82)) % 0.42/0.64 (step @p84 :rule cong :premises (@p83) :args ((not (>= 0 @t42)))) % 0.42/0.64 (step @p85 :rule arith-elim-gt :args (@t42 0)) % 0.42/0.64 (step @p86 :rule trans :premises (@p85 @p84)) % 0.42/0.64 (step @p87 :rule evaluate :args (@t50)) % 0.42/0.64 (step @p88 :rule refl :args (@t42)) % 0.42/0.64 (step @p89 :rule cong :premises (@p88 @p87) :args (@t51)) % 0.42/0.64 (step @p90 :rule cong :premises (@p89) :args ((not @t51))) % 0.42/0.64 (step @p91 :rule arith-leq-norm :args (@t42 0)) % 0.42/0.64 (step @p92 :rule trans :premises (@p91 @p90)) % 0.42/0.64 (step @p93 :rule cong :premises (@p92) :args ((not @t52))) % 0.42/0.64 (step @p94 :rule trans :premises (@p93 @p75)) % 0.42/0.64 (step @p95 :rule trans :premises (@p86 @p94)) % 0.42/0.64 (step @p96 :rule symm :premises (@p95)) % 0.42/0.64 (step @p97 :rule trans :premises (@p94 @p96)) % 0.42/0.64 (assume-push @p165 @t52) % 0.42/0.64 (step @p99 :rule evaluate :args ((not true))) % 0.42/0.64 (step @p100 :rule evaluate :args ((>= 0 0))) % 0.42/0.64 (step @p101 :rule evaluate :args ((+ 0 -1 1))) % 0.42/0.64 (step @p102 :rule evaluate :args (@t53)) % 0.42/0.64 (step @p103 :rule refl :args (0)) % 0.42/0.64 (step @p104 :rule nary_cong :premises (@p103 @p102 @p36) :args (@t54)) % 0.42/0.64 (step @p105 :rule trans :premises (@p104 @p101)) % 0.42/0.64 (step @p106 :rule evaluate :args ((+ 0 0 0 0))) % 0.42/0.64 (step @p107 :rule arith_poly_norm :args ((= @t55 0))) % 0.42/0.64 (step @p108 :rule arith_poly_norm :args ((= @t56 0))) % 0.42/0.64 (step @p109 :rule arith_poly_norm :args ((= @t57 0))) % 0.42/0.64 (step @p110 :rule arith_poly_norm :args ((= @t58 0))) % 0.42/0.64 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107) :args (@t59)) % 0.42/0.64 (step @p112 :rule trans :premises (@p111 @p106)) % 0.42/0.64 (step @p113 :rule arith_poly_norm :args ((= @t60 @t59))) % 0.42/0.64 (step @p114 :rule trans :premises (@p113 @p112)) % 0.42/0.64 (step @p115 :rule cong :premises (@p114 @p105) :args (@t61)) % 0.42/0.64 (step @p116 :rule trans :premises (@p115 @p100)) % 0.42/0.64 (step @p117 :rule cong :premises (@p116) :args ((not @t61))) % 0.42/0.64 (step @p118 :rule trans :premises (@p117 @p99)) % 0.42/0.64 (step @p119 :rule arith-elim-lt :args (@t60 @t54)) % 0.42/0.64 (step @p120 :rule trans :premises (@p119 @p118)) % 0.42/0.64 (step @p121 :rule arith-elim-lt :args (@t32 1)) % 0.42/0.64 (step @p122 :rule symm :premises (@p121)) % 0.42/0.64 (step @p123 :rule eq_resolve :premises (@p54 @p122)) % 0.42/0.64 (step @p124 :rule arith_mult_neg :args (-1 @t20)) % 0.42/0.64 (step @p125 :rule evaluate :args ((< -1 0))) % 0.42/0.64 (step @p126 :rule true_elim :premises (@p125)) % 0.42/0.64 (step @p127 :rule and_intro :premises (@p126 @p31)) % 0.42/0.64 (step @p128 :rule modus_ponens :premises (@p127 @p124)) % 0.42/0.64 (step @p129 :rule arith-elim-lt :args (@t42 1)) % 0.42/0.64 (step @p130 :rule symm :premises (@p129)) % 0.42/0.64 (step @p131 :rule eq_resolve :premises (@p74 @p130)) % 0.42/0.64 (step @p132 :rule int_tight_ub :premises (@p131)) % 0.42/0.64 (step @p133 :rule arith_sum_ub :premises (@p132 @p128 @p123)) % 0.42/0.64 (step @p134 false :rule eq_resolve :premises (@p133 @p120)) % 0.42/0.64 (step-pop @p166 :rule scope :premises (@p134)) % 0.42/0.64 (step @p135 :rule process_scope :premises (@p166) :args (false)) % 0.42/0.64 (step @p137 :rule eq_resolve :premises (@p135 @p97)) % 0.42/0.64 (step @p138 :rule eq_resolve :premises (@p137 @p86)) % 0.42/0.64 (step @p129 :rule arith-elim-lt :args (@t42 1)) % 0.42/0.64 (step @p130 :rule symm :premises (@p129)) % 0.42/0.64 (step @p131 :rule eq_resolve :premises (@p74 @p130)) % 0.42/0.64 (step @p139 :rule int_tight_ub :premises (@p131)) % 0.42/0.64 (step @p140 false :rule contra :premises (@p139 @p138)) % 0.42/0.64 (step-pop @p167 :rule scope :premises (@p140)) % 0.42/0.64 (step-pop @p168 :rule scope :premises (@p167)) % 0.42/0.64 (step-pop @p169 :rule scope :premises (@p168)) % 0.42/0.64 (step @p141 :rule process_scope :premises (@p169) :args (false)) % 0.42/0.64 (assume-push @p170 @t20) % 0.42/0.64 (assume-push @p171 @t34) % 0.42/0.64 (assume-push @p172 @t44) % 0.42/0.64 (step @p148 :rule and_intro :premises (@p54 @p31 @p74)) % 0.42/0.64 (step-pop @p173 :rule scope :premises (@p148)) % 0.42/0.64 (step-pop @p174 :rule scope :premises (@p173)) % 0.42/0.64 (step-pop @p175 :rule scope :premises (@p174)) % 0.42/0.64 (step @p149 :rule process_scope :premises (@p175) :args (@t62)) % 0.42/0.64 (step @p153 :rule implies_elim :premises (@p149)) % 0.42/0.64 (step @p154 :rule resolution :premises (@p153 @p141) :args (true @t62)) % 0.42/0.64 (step @p155 :rule not_and :premises (@p154)) % 0.42/0.64 (step @p156 :rule eq_resolve :premises (@p155 @p78)) % 0.42/0.64 (step @p157 false :rule chain_m_resolution :premises (@p156 @p74 @p54 @p31) :args (false (@list true true false) (@list @t43 @t33 @t20))) % 0.42/0.64 ) % 0.42/0.64 % SZS output end Proof % 0.42/0.64 % cvc5 exiting %------------------------------------------------------------------------------