%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI181_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 : n016.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 08:07:14 AM UTC 2026 % Result : Theorem 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI181_1 : TPTP v9.2.1. Released v5.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.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 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:26:39 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.40/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.61 % SZS status Theorem % 0.40/0.61 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-const tptp.f (-> Int Int)) % 0.40/0.61 (define @t1 () (tptp.f 6)) % 0.40/0.61 (define @t2 () (tptp.f @t1)) % 0.40/0.61 (define @t3 () (tptp.f @t2)) % 0.40/0.61 (define @t4 () (>= @t3 9)) % 0.40/0.61 (define @t5 () (@var "U" Int)) % 0.40/0.61 (define @t6 () (tptp.f @t5)) % 0.40/0.61 (define @t7 () (@list @t5)) % 0.40/0.61 (define @t8 () (forall @t7 (> @t6 @t5))) % 0.40/0.61 (define @t9 () (=> @t8 @t4)) % 0.40/0.61 (define @t10 () (not @t9)) % 0.40/0.61 (define @t11 () (+ @t5 (* -1 @t6))) % 0.40/0.61 (define @t12 () (>= @t11 0)) % 0.40/0.61 (define @t13 () (>= @t5 @t6)) % 0.40/0.61 (define @t14 () (>= @t1 7)) % 0.40/0.61 (define @t15 () (* -1 @t1)) % 0.40/0.61 (define @t16 () (+ 6 @t15)) % 0.40/0.61 (define @t17 () (+ @t1 1)) % 0.40/0.61 (define @t18 () (>= @t16 0)) % 0.40/0.61 (define @t19 () (not @t18)) % 0.40/0.61 (define @t20 () (forall @t7 (not @t12))) % 0.40/0.61 (define @t21 () (* -1 @t3)) % 0.40/0.61 (define @t22 () (+ @t2 @t21)) % 0.40/0.61 (define @t23 () (>= @t22 0)) % 0.40/0.61 (define @t24 () (* -1 @t2)) % 0.40/0.61 (define @t25 () (+ @t1 @t24)) % 0.40/0.61 (define @t26 () (>= @t25 0)) % 0.40/0.61 (define @t27 () (not @t14)) % 0.40/0.61 (define @t28 () (not @t23)) % 0.40/0.61 (define @t29 () (not @t26)) % 0.40/0.61 (define @t30 () (not @t4)) % 0.40/0.61 (define @t31 () (< @t3 9)) % 0.40/0.61 (define @t32 () (* -1 7)) % 0.40/0.61 (define @t33 () (+ 9 -1 -1 @t32)) % 0.40/0.61 (define @t34 () (+ @t21 @t24 @t15 @t3 @t2 @t1)) % 0.40/0.61 (define @t35 () (+ @t3 @t22 @t25 @t15)) % 0.40/0.61 (define @t36 () (>= @t35 @t33)) % 0.40/0.61 (define @t37 () (and @t14 @t29 @t28 @t30)) % 0.40/0.61 (assume @p1 @t10) % 0.40/0.61 (assume @p2 true) % 0.40/0.61 (step @p3 :rule refl :args (@t4)) % 0.40/0.61 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t6)) (* 1 (- @t11 0))))) % 0.40/0.61 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= @t13 @t12))) % 0.40/0.61 (step @p6 :rule arith-elim-leq :args (@t6 @t5)) % 0.40/0.61 (step @p7 :rule trans :premises (@p6 @p5)) % 0.40/0.61 (step @p8 :rule cong :premises (@p7) :args ((not (<= @t6 @t5)))) % 0.40/0.61 (step @p9 :rule symm :premises (@p6)) % 0.40/0.61 (step @p10 :rule cong :premises (@p9) :args ((not @t13))) % 0.40/0.61 (step @p11 :rule arith-elim-gt :args (@t6 @t5)) % 0.40/0.61 (step @p12 :rule trans :premises (@p11 @p10)) % 0.40/0.61 (step @p13 :rule trans :premises (@p12 @p8)) % 0.40/0.61 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.40/0.61 (step @p15 :rule cong :premises (@p14 @p3) :args (@t9)) % 0.40/0.61 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.40/0.61 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.40/0.61 (step @p18 :rule not_implies_elim2 :premises (@p17)) % 0.40/0.61 (step @p19 :rule not_implies_elim1 :premises (@p17)) % 0.40/0.61 (step @p20 :rule bool-double-not-elim :args (@t14)) % 0.40/0.61 (step @p21 :rule arith_poly_norm :args ((= (* 6 (- 7 @t17)) (* 6 (- @t16 0))))) % 0.40/0.61 (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= (>= 7 @t17) @t18))) % 0.40/0.61 (step @p23 :rule arith-geq-tighten :args (@t1 7)) % 0.40/0.61 (step @p24 :rule trans :premises (@p23 @p22)) % 0.40/0.61 (step @p25 :rule symm :premises (@p24)) % 0.40/0.61 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.40/0.61 (step @p27 :rule trans :premises (@p26 @p20)) % 0.40/0.61 (step @p28 :rule refl :args (@t20)) % 0.40/0.61 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t20 @t19))) % 0.40/0.61 (assume-push @p114 @t20) % 0.40/0.61 (step @p31 :rule instantiate :premises (@p19) :args ((@list 6))) % 0.40/0.61 (step-pop @p115 :rule scope :premises (@p31)) % 0.40/0.61 (step @p32 :rule process_scope :premises (@p115) :args (@t19)) % 0.40/0.61 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.40/0.61 (step @p35 :rule implies_elim :premises (@p34)) % 0.40/0.61 (step @p36 :rule chain_m_resolution :premises (@p35 @p19) :args (@t14 (@list false) (@list @t20))) % 0.40/0.61 (step @p37 :rule instantiate :premises (@p19) :args ((@list @t1))) % 0.40/0.61 (step @p38 :rule instantiate :premises (@p19) :args ((@list @t2))) % 0.40/0.61 (step @p39 :rule bool-double-not-elim :args (@t23)) % 0.40/0.61 (step @p40 :rule bool-double-not-elim :args (@t26)) % 0.40/0.61 (step @p41 :rule refl :args (@t27)) % 0.40/0.61 (step @p42 :rule bool-double-not-elim :args (@t4)) % 0.40/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39) :args ((or (not @t30) @t27 (not @t29) (not @t28)))) % 0.40/0.61 (assume-push @p116 @t14) % 0.40/0.61 (assume-push @p117 @t29) % 0.40/0.61 (assume-push @p118 @t28) % 0.40/0.61 (assume-push @p119 @t30) % 0.40/0.61 (step @p48 :rule arith-elim-lt :args (@t3 9)) % 0.40/0.61 (step @p49 :rule cong :premises (@p48) :args ((not @t31))) % 0.40/0.61 (step @p50 :rule trans :premises (@p49 @p42)) % 0.40/0.61 (step @p51 :rule symm :premises (@p50)) % 0.40/0.61 (assume-push @p120 @t31) % 0.40/0.61 (step @p53 :rule evaluate :args ((not true))) % 0.40/0.61 (step @p54 :rule evaluate :args ((>= 0 0))) % 0.40/0.61 (step @p55 :rule evaluate :args ((+ 9 -1 -1 -7))) % 0.40/0.61 (step @p56 :rule evaluate :args (@t32)) % 0.40/0.61 (step @p57 :rule refl :args (-1)) % 0.40/0.61 (step @p58 :rule refl :args (9)) % 0.40/0.61 (step @p59 :rule nary_cong :premises (@p58 @p57 @p57 @p56) :args (@t33)) % 0.40/0.61 (step @p60 :rule trans :premises (@p59 @p55)) % 0.40/0.61 (step @p61 :rule arith_poly_norm :args ((= @t34 0))) % 0.40/0.61 (step @p62 :rule arith_poly_norm :args ((= @t35 @t34))) % 0.40/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.40/0.61 (step @p64 :rule cong :premises (@p63 @p60) :args (@t36)) % 0.40/0.61 (step @p65 :rule trans :premises (@p64 @p54)) % 0.40/0.61 (step @p66 :rule cong :premises (@p65) :args ((not @t36))) % 0.40/0.61 (step @p67 :rule trans :premises (@p66 @p53)) % 0.40/0.61 (step @p68 :rule arith-elim-lt :args (@t35 @t33)) % 0.40/0.61 (step @p69 :rule trans :premises (@p68 @p67)) % 0.40/0.61 (step @p70 :rule arith_mult_neg :args (-1 @t14)) % 0.40/0.61 (step @p71 :rule evaluate :args ((< -1 0))) % 0.40/0.61 (step @p72 :rule true_elim :premises (@p71)) % 0.40/0.61 (step @p73 :rule and_intro :premises (@p72 @p36)) % 0.40/0.61 (step @p74 :rule modus_ponens :premises (@p73 @p70)) % 0.40/0.61 (step @p75 :rule arith-elim-lt :args (@t25 0)) % 0.40/0.61 (step @p76 :rule symm :premises (@p75)) % 0.40/0.61 (step @p77 :rule eq_resolve :premises (@p37 @p76)) % 0.40/0.61 (step @p78 :rule int_tight_ub :premises (@p77)) % 0.40/0.61 (step @p79 :rule arith-elim-lt :args (@t22 0)) % 0.40/0.61 (step @p80 :rule symm :premises (@p79)) % 0.40/0.61 (step @p81 :rule eq_resolve :premises (@p38 @p80)) % 0.40/0.61 (step @p82 :rule int_tight_ub :premises (@p81)) % 0.40/0.61 (step @p83 :rule symm :premises (@p48)) % 0.40/0.61 (step @p84 :rule not_implies_elim2 :premises (@p17)) % 0.40/0.61 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.40/0.61 (step @p86 :rule arith_sum_ub :premises (@p85 @p82 @p78 @p74)) % 0.40/0.61 (step @p87 false :rule eq_resolve :premises (@p86 @p69)) % 0.40/0.61 (step-pop @p121 :rule scope :premises (@p87)) % 0.40/0.61 (step @p88 :rule process_scope :premises (@p121) :args (false)) % 0.40/0.61 (step @p90 :rule eq_resolve :premises (@p88 @p50)) % 0.40/0.61 (step @p91 :rule eq_resolve :premises (@p90 @p51)) % 0.40/0.61 (step @p83 :rule symm :premises (@p48)) % 0.40/0.61 (step @p92 :rule eq_resolve :premises (@p18 @p83)) % 0.40/0.61 (step @p93 false :rule contra :premises (@p92 @p91)) % 0.40/0.61 (step-pop @p122 :rule scope :premises (@p93)) % 0.40/0.61 (step-pop @p123 :rule scope :premises (@p122)) % 0.40/0.61 (step-pop @p124 :rule scope :premises (@p123)) % 0.40/0.61 (step-pop @p125 :rule scope :premises (@p124)) % 0.40/0.61 (step @p94 :rule process_scope :premises (@p125) :args (false)) % 0.40/0.61 (assume-push @p126 @t30) % 0.40/0.61 (assume-push @p127 @t14) % 0.40/0.61 (assume-push @p128 @t29) % 0.40/0.61 (assume-push @p129 @t28) % 0.40/0.61 (step @p103 :rule and_intro :premises (@p36 @p37 @p38 @p18)) % 0.40/0.61 (step-pop @p130 :rule scope :premises (@p103)) % 0.40/0.61 (step-pop @p131 :rule scope :premises (@p130)) % 0.40/0.61 (step-pop @p132 :rule scope :premises (@p131)) % 0.40/0.61 (step-pop @p133 :rule scope :premises (@p132)) % 0.40/0.61 (step @p104 :rule process_scope :premises (@p133) :args (@t37)) % 0.40/0.61 (step @p109 :rule implies_elim :premises (@p104)) % 0.40/0.61 (step @p110 :rule resolution :premises (@p109 @p94) :args (true @t37)) % 0.40/0.61 (step @p111 :rule not_and :premises (@p110)) % 0.40/0.61 (step @p112 :rule eq_resolve :premises (@p111 @p43)) % 0.40/0.61 (step @p113 false :rule chain_m_resolution :premises (@p112 @p38 @p37 @p36 @p18) :args (false (@list true true false true) (@list @t23 @t26 @t14 @t4))) % 0.40/0.61 ) % 0.40/0.61 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------