%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT055_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 08:14:26 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT055_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 % 0.15/0.33 % Computer : n016.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 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 22:27:54 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.30/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.list 0) % 0.30/0.55 (declare-const tptp.min (-> tptp.list Int)) % 0.30/0.55 (declare-const tptp.l Int) % 0.30/0.55 (declare-const tptp.max (-> tptp.list Int)) % 0.30/0.55 (declare-const tptp.a tptp.list) % 0.30/0.55 (declare-const tptp.k Int) % 0.30/0.55 (define @t1 () (tptp.max tptp.a)) % 0.30/0.55 (define @t2 () (+ @t1 tptp.k)) % 0.30/0.55 (define @t3 () (tptp.min tptp.a)) % 0.30/0.55 (define @t4 () (@var "X" tptp.list)) % 0.30/0.55 (define @t5 () (tptp.max @t4)) % 0.30/0.55 (define @t6 () (tptp.min @t4)) % 0.30/0.55 (define @t7 () (forall (@list @t4) (<= @t6 @t5))) % 0.30/0.55 (define @t8 () (and @t7 (<= tptp.l @t3) (< 0 tptp.k))) % 0.30/0.55 (define @t9 () (=> @t8 (< tptp.l @t2))) % 0.30/0.55 (define @t10 () (not @t9)) % 0.30/0.55 (define @t11 () (* -1 @t1)) % 0.30/0.55 (define @t12 () (* -1 tptp.k)) % 0.30/0.55 (define @t13 () (+ tptp.l @t12 @t11)) % 0.30/0.55 (define @t14 () (+ tptp.k @t1)) % 0.30/0.55 (define @t15 () (>= @t13 0)) % 0.30/0.55 (define @t16 () (>= tptp.l @t2)) % 0.30/0.55 (define @t17 () (>= tptp.k 1)) % 0.30/0.55 (define @t18 () (+ tptp.k 1)) % 0.30/0.55 (define @t19 () (>= 0 tptp.k)) % 0.30/0.55 (define @t20 () (* -1 @t3)) % 0.30/0.55 (define @t21 () (+ tptp.l @t20)) % 0.30/0.55 (define @t22 () (+ @t3 1)) % 0.30/0.55 (define @t23 () (>= @t21 1)) % 0.30/0.55 (define @t24 () (>= tptp.l @t22)) % 0.30/0.55 (define @t25 () (+ @t6 (* -1 @t5))) % 0.30/0.55 (define @t26 () (+ @t5 1)) % 0.30/0.55 (define @t27 () (>= @t6 @t26)) % 0.30/0.55 (define @t28 () (+ @t3 @t11)) % 0.30/0.55 (define @t29 () (>= @t28 1)) % 0.30/0.55 (define @t30 () (not @t15)) % 0.30/0.55 (define @t31 () (not @t17)) % 0.30/0.55 (define @t32 () (not @t29)) % 0.30/0.55 (define @t33 () (not @t23)) % 0.30/0.55 (define @t34 () (+ 0 1)) % 0.30/0.55 (define @t35 () (>= @t21 @t34)) % 0.30/0.55 (define @t36 () (<= @t21 0)) % 0.30/0.55 (define @t37 () (* -1 1)) % 0.30/0.55 (define @t38 () (* -1 0)) % 0.30/0.55 (define @t39 () (+ 0 @t38 @t37 1)) % 0.30/0.55 (define @t40 () (* 0 tptp.l)) % 0.30/0.55 (define @t41 () (* 0 tptp.k)) % 0.30/0.55 (define @t42 () (* 0 @t1)) % 0.30/0.55 (define @t43 () (+ @t42 @t41 @t20 @t3 @t40)) % 0.30/0.55 (define @t44 () (+ @t21 (* -1 @t13) @t12 @t28)) % 0.30/0.55 (define @t45 () (>= @t44 @t39)) % 0.30/0.55 (define @t46 () (and @t32 @t17 @t15 @t33)) % 0.30/0.55 (assume @p1 @t10) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule arith_poly_norm :args ((= (* 1 (- tptp.l @t14)) (* 1 (- @t13 0))))) % 0.30/0.55 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= tptp.l @t14) @t15))) % 0.30/0.55 (step @p5 :rule arith_poly_norm :args ((= @t2 @t14))) % 0.30/0.55 (step @p6 :rule refl :args (tptp.l)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args (@t16)) % 0.30/0.55 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8) :args ((not @t16))) % 0.30/0.55 (step @p10 :rule arith-elim-lt :args (tptp.l @t2)) % 0.30/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.30/0.55 (step @p12 :rule bool-double-not-elim :args (@t17)) % 0.30/0.55 (step @p13 :rule arith_poly_norm :args ((= (* -1 (- 1 @t18)) (* -1 (- 0 tptp.k))))) % 0.30/0.55 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (>= 1 @t18) @t19))) % 0.30/0.55 (step @p15 :rule arith-geq-tighten :args (tptp.k 1)) % 0.30/0.55 (step @p16 :rule trans :premises (@p15 @p14)) % 0.30/0.55 (step @p17 :rule symm :premises (@p16)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args ((not @t19))) % 0.30/0.55 (step @p19 :rule trans :premises (@p18 @p12)) % 0.30/0.55 (step @p20 :rule arith-elim-lt :args (0 tptp.k)) % 0.30/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.30/0.55 (step @p22 :rule arith_poly_norm :args ((= (* -1 (- tptp.l @t22)) (* -1 (- @t21 1))))) % 0.30/0.55 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t24 @t23))) % 0.30/0.55 (step @p24 :rule cong :premises (@p23) :args ((not @t24))) % 0.30/0.55 (step @p25 :rule arith-leq-norm :args (tptp.l @t3)) % 0.30/0.55 (step @p26 :rule trans :premises (@p25 @p24)) % 0.30/0.55 (step @p27 :rule arith_poly_norm :args ((= (* -1 (- @t6 @t26)) (* -1 (- @t25 1))))) % 0.30/0.55 (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= @t27 (>= @t25 1)))) % 0.30/0.55 (step @p29 :rule cong :premises (@p28) :args ((not @t27))) % 0.30/0.55 (step @p30 :rule arith-leq-norm :args (@t6 @t5)) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.30/0.55 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.30/0.55 (step @p33 :rule nary_cong :premises (@p32 @p26 @p21) :args (@t8)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33 @p11) :args (@t9)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 0.30/0.55 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.30/0.55 (step @p37 :rule not_implies_elim1 :premises (@p36)) % 0.30/0.55 (step @p38 :rule and_elim :premises (@p37) :args (1)) % 0.30/0.55 (step @p39 :rule and_elim :premises (@p37) :args (2)) % 0.30/0.55 (step @p40 :rule not_implies_elim2 :premises (@p36)) % 0.30/0.55 (step @p41 :rule not_not_elim :premises (@p40)) % 0.30/0.55 (step @p42 :rule and_elim :premises (@p37) :args (0)) % 0.30/0.55 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.a))) % 0.30/0.55 (step @p44 :rule bool-double-not-elim :args (@t29)) % 0.30/0.55 (step @p45 :rule refl :args (@t30)) % 0.30/0.55 (step @p46 :rule refl :args (@t31)) % 0.30/0.55 (step @p47 :rule bool-double-not-elim :args (@t23)) % 0.30/0.55 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44) :args ((or (not @t33) @t31 @t30 (not @t32)))) % 0.30/0.55 (assume-push @p138 @t32) % 0.30/0.55 (assume-push @p139 @t17) % 0.30/0.55 (assume-push @p140 @t15) % 0.30/0.55 (assume-push @p141 @t33) % 0.30/0.55 (step @p53 :rule arith-elim-leq :args (@t21 0)) % 0.30/0.55 (step @p54 :rule symm :premises (@p53)) % 0.30/0.55 (step @p55 :rule cong :premises (@p54) :args ((not (>= 0 @t21)))) % 0.30/0.55 (step @p56 :rule arith-elim-gt :args (@t21 0)) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p55)) % 0.30/0.55 (step @p58 :rule evaluate :args (@t34)) % 0.30/0.55 (step @p59 :rule refl :args (@t21)) % 0.30/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t35)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60) :args ((not @t35))) % 0.30/0.55 (step @p62 :rule arith-leq-norm :args (@t21 0)) % 0.30/0.55 (step @p63 :rule trans :premises (@p62 @p61)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63) :args ((not @t36))) % 0.30/0.55 (step @p65 :rule trans :premises (@p64 @p47)) % 0.30/0.55 (step @p66 :rule trans :premises (@p57 @p65)) % 0.30/0.55 (step @p67 :rule symm :premises (@p66)) % 0.30/0.55 (step @p68 :rule trans :premises (@p65 @p67)) % 0.30/0.55 (assume-push @p142 @t36) % 0.30/0.55 (step @p70 :rule evaluate :args ((not true))) % 0.30/0.55 (step @p71 :rule evaluate :args ((>= 0 0))) % 0.30/0.55 (step @p72 :rule evaluate :args ((+ 0 0 -1 1))) % 0.30/0.55 (step @p73 :rule refl :args (1)) % 0.30/0.55 (step @p74 :rule evaluate :args (@t37)) % 0.30/0.55 (step @p75 :rule evaluate :args (@t38)) % 0.30/0.55 (step @p76 :rule refl :args (0)) % 0.30/0.55 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73) :args (@t39)) % 0.30/0.55 (step @p78 :rule trans :premises (@p77 @p72)) % 0.30/0.55 (step @p79 :rule arith_poly_norm :args ((= (+ 0 0 @t20 @t3 0) 0))) % 0.30/0.55 (step @p80 :rule arith_poly_norm :args ((= @t40 0))) % 0.30/0.55 (step @p81 :rule refl :args (@t3)) % 0.30/0.55 (step @p82 :rule refl :args (@t20)) % 0.30/0.55 (step @p83 :rule arith_poly_norm :args ((= @t41 0))) % 0.30/0.55 (step @p84 :rule arith_poly_norm :args ((= @t42 0))) % 0.30/0.55 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t43)) % 0.30/0.55 (step @p86 :rule trans :premises (@p85 @p79)) % 0.30/0.55 (step @p87 :rule arith_poly_norm :args ((= @t44 @t43))) % 0.30/0.55 (step @p88 :rule trans :premises (@p87 @p86)) % 0.30/0.55 (step @p89 :rule cong :premises (@p88 @p78) :args (@t45)) % 0.30/0.55 (step @p90 :rule trans :premises (@p89 @p71)) % 0.30/0.55 (step @p91 :rule cong :premises (@p90) :args ((not @t45))) % 0.30/0.55 (step @p92 :rule trans :premises (@p91 @p70)) % 0.30/0.55 (step @p93 :rule arith-elim-lt :args (@t44 @t39)) % 0.30/0.55 (step @p94 :rule trans :premises (@p93 @p92)) % 0.30/0.55 (step @p95 :rule arith-elim-lt :args (@t28 1)) % 0.30/0.55 (step @p96 :rule symm :premises (@p95)) % 0.30/0.55 (step @p97 :rule eq_resolve :premises (@p43 @p96)) % 0.30/0.55 (step @p98 :rule arith_mult_neg :args (-1 @t17)) % 0.30/0.55 (step @p99 :rule evaluate :args ((< -1 0))) % 0.30/0.55 (step @p100 :rule true_elim :premises (@p99)) % 0.30/0.55 (step @p101 :rule and_intro :premises (@p100 @p39)) % 0.30/0.55 (step @p102 :rule modus_ponens :premises (@p101 @p98)) % 0.30/0.55 (step @p103 :rule arith_mult_neg :args (-1 @t15)) % 0.30/0.55 (step @p104 :rule and_intro :premises (@p100 @p41)) % 0.30/0.55 (step @p105 :rule modus_ponens :premises (@p104 @p103)) % 0.30/0.55 (step @p106 :rule arith-elim-lt :args (@t21 1)) % 0.30/0.55 (step @p107 :rule symm :premises (@p106)) % 0.30/0.55 (step @p108 :rule eq_resolve :premises (@p38 @p107)) % 0.30/0.55 (step @p109 :rule int_tight_ub :premises (@p108)) % 0.30/0.55 (step @p110 :rule arith_sum_ub :premises (@p109 @p105 @p102 @p97)) % 0.30/0.55 (step @p111 false :rule eq_resolve :premises (@p110 @p94)) % 0.30/0.55 (step-pop @p143 :rule scope :premises (@p111)) % 0.30/0.55 (step @p112 :rule process_scope :premises (@p143) :args (false)) % 0.30/0.55 (step @p114 :rule eq_resolve :premises (@p112 @p68)) % 0.30/0.55 (step @p115 :rule eq_resolve :premises (@p114 @p57)) % 0.30/0.55 (step @p106 :rule arith-elim-lt :args (@t21 1)) % 0.30/0.55 (step @p107 :rule symm :premises (@p106)) % 0.30/0.55 (step @p108 :rule eq_resolve :premises (@p38 @p107)) % 0.30/0.55 (step @p116 :rule int_tight_ub :premises (@p108)) % 0.30/0.55 (step @p117 false :rule contra :premises (@p116 @p115)) % 0.30/0.55 (step-pop @p144 :rule scope :premises (@p117)) % 0.30/0.55 (step-pop @p145 :rule scope :premises (@p144)) % 0.30/0.55 (step-pop @p146 :rule scope :premises (@p145)) % 0.30/0.55 (step-pop @p147 :rule scope :premises (@p146)) % 0.30/0.55 (step @p118 :rule process_scope :premises (@p147) :args (false)) % 0.30/0.55 (assume-push @p148 @t33) % 0.30/0.55 (assume-push @p149 @t17) % 0.30/0.55 (assume-push @p150 @t15) % 0.30/0.55 (assume-push @p151 @t32) % 0.30/0.55 (step @p127 :rule and_intro :premises (@p43 @p39 @p41 @p38)) % 0.30/0.55 (step-pop @p152 :rule scope :premises (@p127)) % 0.30/0.55 (step-pop @p153 :rule scope :premises (@p152)) % 0.30/0.55 (step-pop @p154 :rule scope :premises (@p153)) % 0.30/0.55 (step-pop @p155 :rule scope :premises (@p154)) % 0.30/0.55 (step @p128 :rule process_scope :premises (@p155) :args (@t46)) % 0.30/0.55 (step @p133 :rule implies_elim :premises (@p128)) % 0.30/0.55 (step @p134 :rule resolution :premises (@p133 @p118) :args (true @t46)) % 0.30/0.55 (step @p135 :rule not_and :premises (@p134)) % 0.30/0.55 (step @p136 :rule eq_resolve :premises (@p135 @p48)) % 0.30/0.55 (step @p137 false :rule chain_m_resolution :premises (@p136 @p43 @p41 @p39 @p38) :args (false (@list true false false true) (@list @t29 @t15 @t17 @t23))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------