%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG021_1 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:16:00 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG021_1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:03:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 0.36/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.city 0) % 0.36/0.56 (declare-const tptp.kiel tptp.city) % 0.36/0.56 (declare-const tptp.hamburg tptp.city) % 0.36/0.56 (declare-const tptp.frankfurt tptp.city) % 0.36/0.56 (declare-const tptp.munich tptp.city) % 0.36/0.56 (declare-const tptp.saarbruecken tptp.city) % 0.36/0.56 (declare-const tptp.d (-> tptp.city tptp.city Int)) % 0.36/0.56 (declare-const tptp.cologne tptp.city) % 0.36/0.56 (declare-const tptp.berlin tptp.city) % 0.36/0.56 (define @t1 () (tptp.d tptp.cologne tptp.berlin)) % 0.36/0.56 (define @t2 () (= (tptp.d tptp.munich tptp.saarbruecken) 360)) % 0.36/0.56 (define @t3 () (= (tptp.d tptp.munich tptp.frankfurt) 300)) % 0.36/0.56 (define @t4 () (= (tptp.d tptp.hamburg tptp.berlin) 250)) % 0.36/0.56 (define @t5 () (= (tptp.d tptp.hamburg tptp.kiel) 90)) % 0.36/0.56 (define @t6 () (= (tptp.d tptp.cologne tptp.frankfurt) 150)) % 0.36/0.56 (define @t7 () (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) % 0.36/0.56 (define @t8 () (= (tptp.d tptp.hamburg tptp.cologne) 360)) % 0.36/0.56 (define @t9 () (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) % 0.36/0.56 (define @t10 () (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) % 0.36/0.56 (define @t11 () (= (tptp.d tptp.berlin tptp.frankfurt) 420)) % 0.36/0.56 (define @t12 () (tptp.d tptp.berlin tptp.cologne)) % 0.36/0.56 (define @t13 () (= @t12 480)) % 0.36/0.56 (define @t14 () (= (tptp.d tptp.berlin tptp.munich) 510)) % 0.36/0.56 (define @t15 () (@var "X" tptp.city)) % 0.36/0.56 (define @t16 () (forall (@list @t15) (= (tptp.d @t15 @t15) 0))) % 0.36/0.56 (define @t17 () (@var "Z" tptp.city)) % 0.36/0.56 (define @t18 () (@var "Y" tptp.city)) % 0.36/0.56 (define @t19 () (tptp.d @t18 @t17)) % 0.36/0.56 (define @t20 () (tptp.d @t15 @t18)) % 0.36/0.56 (define @t21 () (+ @t20 @t19)) % 0.36/0.56 (define @t22 () (tptp.d @t15 @t17)) % 0.36/0.56 (define @t23 () (@list @t15 @t18 @t17)) % 0.36/0.56 (define @t24 () (forall @t23 (<= @t22 @t21))) % 0.36/0.56 (define @t25 () (forall (@list @t15 @t18) (= @t20 (tptp.d @t18 @t15)))) % 0.36/0.56 (define @t26 () (and @t25 @t24 @t16 @t14 @t13 @t11 @t10 @t9 @t8 @t7 @t6 @t5 @t4 @t3 @t2)) % 0.36/0.56 (define @t27 () (=> @t26 (<= @t1 500))) % 0.36/0.56 (define @t28 () (not @t27)) % 0.36/0.56 (define @t29 () (>= @t1 501)) % 0.36/0.56 (define @t30 () (not @t29)) % 0.36/0.56 (define @t31 () (+ @t20 (* -1 @t22) @t19)) % 0.36/0.56 (define @t32 () (>= @t31 0)) % 0.36/0.56 (define @t33 () (forall @t23 @t32)) % 0.36/0.56 (define @t34 () (= 360 360)) % 0.36/0.56 (define @t35 () (= 300 300)) % 0.36/0.56 (define @t36 () (= 250 250)) % 0.36/0.56 (define @t37 () (= 90 90)) % 0.36/0.56 (define @t38 () (= 150 150)) % 0.36/0.56 (define @t39 () (= 390 390)) % 0.36/0.56 (define @t40 () (= 190 190)) % 0.36/0.56 (define @t41 () (= 160 160)) % 0.36/0.56 (define @t42 () (= 420 420)) % 0.36/0.56 (define @t43 () (= 480 480)) % 0.36/0.56 (define @t44 () (= 510 510)) % 0.36/0.56 (define @t45 () (and @t25 @t33 @t16 @t44 @t43 @t42 @t41 @t40 @t34 @t39 @t38 @t37 @t36 @t35 @t34)) % 0.36/0.56 (define @t46 () (=> @t45 @t30)) % 0.36/0.56 (define @t47 () (+ 500 1)) % 0.36/0.56 (define @t48 () (>= @t1 @t47)) % 0.36/0.56 (define @t49 () (and @t25 @t33 @t16 @t14 @t13 @t11 @t10 @t9 @t8 @t7 @t6 @t5 @t4 @t3 @t2)) % 0.36/0.56 (define @t50 () (=> @t49 @t30)) % 0.36/0.56 (define @t51 () (@list tptp.berlin tptp.cologne)) % 0.36/0.56 (define @t52 () (= 480 @t1)) % 0.36/0.56 (define @t53 () (* -1 501)) % 0.36/0.56 (define @t54 () (+ 480 @t53)) % 0.36/0.56 (define @t55 () (+ @t1 (* -1 @t1))) % 0.36/0.56 (define @t56 () (= @t12 @t1)) % 0.36/0.56 (define @t57 () (and @t52 @t29)) % 0.36/0.56 (assume @p1 @t28) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule refl :args (@t30)) % 0.36/0.56 (step @p4 :rule aci_norm :args ((= (and @t25 @t33 @t16 true true true true true true true true true true true true) (and @t25 @t33 @t16)))) % 0.36/0.56 (step @p5 :rule evaluate :args (@t34)) % 0.36/0.56 (step @p6 :rule evaluate :args (@t35)) % 0.36/0.56 (step @p7 :rule evaluate :args (@t36)) % 0.36/0.56 (step @p8 :rule evaluate :args (@t37)) % 0.36/0.56 (step @p9 :rule evaluate :args (@t38)) % 0.36/0.56 (step @p10 :rule evaluate :args (@t39)) % 0.36/0.56 (step @p11 :rule evaluate :args (@t40)) % 0.36/0.56 (step @p12 :rule evaluate :args (@t41)) % 0.36/0.56 (step @p13 :rule evaluate :args (@t42)) % 0.36/0.56 (step @p14 :rule evaluate :args (@t43)) % 0.36/0.56 (step @p15 :rule evaluate :args (@t44)) % 0.36/0.56 (step @p16 :rule refl :args (@t16)) % 0.36/0.56 (step @p17 :rule refl :args (@t33)) % 0.36/0.56 (step @p18 :rule refl :args (@t25)) % 0.36/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p5 @p10 @p9 @p8 @p7 @p6 @p5) :args (@t45)) % 0.36/0.56 (step @p20 :rule trans :premises (@p19 @p4)) % 0.36/0.56 (step @p21 :rule cong :premises (@p20 @p3) :args (@t46)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21) :args ((not @t46))) % 0.36/0.56 (step @p23 :rule refl :args (360)) % 0.36/0.56 (step @p24 :rule evaluate :args (@t47)) % 0.36/0.56 (step @p25 :rule refl :args (@t1)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t48)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26) :args ((not @t48))) % 0.36/0.56 (step @p28 :rule arith-leq-norm :args (@t1 500)) % 0.36/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.56 (step @p30 :rule refl :args (@t2)) % 0.36/0.56 (step @p31 :rule refl :args (@t3)) % 0.36/0.56 (step @p32 :rule refl :args (@t4)) % 0.36/0.56 (step @p33 :rule refl :args (@t5)) % 0.36/0.56 (step @p34 :rule refl :args (@t6)) % 0.36/0.56 (step @p35 :rule refl :args (@t7)) % 0.36/0.56 (step @p36 :rule refl :args (@t8)) % 0.36/0.56 (step @p37 :rule refl :args (@t9)) % 0.36/0.56 (step @p38 :rule refl :args (@t10)) % 0.36/0.56 (step @p39 :rule refl :args (@t11)) % 0.36/0.56 (step @p40 :rule refl :args (@t13)) % 0.36/0.56 (step @p41 :rule refl :args (@t14)) % 0.36/0.56 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t21 @t22)) (* 1 (- @t31 0))))) % 0.36/0.56 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= @t21 @t22) @t32))) % 0.36/0.56 (step @p44 :rule arith-elim-leq :args (@t22 @t21)) % 0.36/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.56 (step @p46 :rule cong :premises (@p45) :args (@t24)) % 0.36/0.56 (step @p47 :rule nary_cong :premises (@p18 @p46 @p16 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30) :args (@t26)) % 0.36/0.56 (step @p48 :rule cong :premises (@p47 @p29) :args (@t27)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48) :args (@t28)) % 0.36/0.56 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.36/0.56 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.36/0.56 (step @p52 :rule and_elim :premises (@p51) :args (14)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52 @p23) :args (@t2)) % 0.36/0.56 (step @p54 :rule refl :args (300)) % 0.36/0.56 (step @p55 :rule and_elim :premises (@p51) :args (13)) % 0.36/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args (@t3)) % 0.36/0.56 (step @p57 :rule refl :args (250)) % 0.36/0.56 (step @p58 :rule and_elim :premises (@p51) :args (12)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58 @p57) :args (@t4)) % 0.36/0.56 (step @p60 :rule refl :args (90)) % 0.36/0.56 (step @p61 :rule and_elim :premises (@p51) :args (11)) % 0.36/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args (@t5)) % 0.36/0.56 (step @p63 :rule refl :args (150)) % 0.36/0.56 (step @p64 :rule and_elim :premises (@p51) :args (10)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args (@t6)) % 0.36/0.56 (step @p66 :rule refl :args (390)) % 0.36/0.56 (step @p67 :rule and_elim :premises (@p51) :args (9)) % 0.36/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args (@t7)) % 0.36/0.56 (step @p69 :rule and_elim :premises (@p51) :args (8)) % 0.36/0.56 (step @p70 :rule cong :premises (@p69 @p23) :args (@t8)) % 0.36/0.56 (step @p71 :rule refl :args (190)) % 0.36/0.56 (step @p72 :rule and_elim :premises (@p51) :args (7)) % 0.36/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t9)) % 0.36/0.56 (step @p74 :rule refl :args (160)) % 0.36/0.56 (step @p75 :rule and_elim :premises (@p51) :args (6)) % 0.36/0.56 (step @p76 :rule cong :premises (@p75 @p74) :args (@t10)) % 0.36/0.56 (step @p77 :rule refl :args (420)) % 0.36/0.56 (step @p78 :rule and_elim :premises (@p51) :args (5)) % 0.36/0.56 (step @p79 :rule cong :premises (@p78 @p77) :args (@t11)) % 0.36/0.56 (step @p80 :rule refl :args (480)) % 0.36/0.56 (step @p81 :rule and_elim :premises (@p51) :args (4)) % 0.36/0.56 (step @p82 :rule cong :premises (@p81 @p80) :args (@t13)) % 0.36/0.56 (step @p83 :rule refl :args (510)) % 0.36/0.56 (step @p84 :rule and_elim :premises (@p51) :args (3)) % 0.36/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args (@t14)) % 0.36/0.56 (step @p86 :rule nary_cong :premises (@p18 @p17 @p16 @p85 @p82 @p79 @p76 @p73 @p70 @p68 @p65 @p62 @p59 @p56 @p53) :args (@t49)) % 0.36/0.56 (step @p87 :rule cong :premises (@p86 @p3) :args (@t50)) % 0.36/0.56 (step @p88 :rule cong :premises (@p87) :args ((not @t50))) % 0.36/0.56 (step @p89 :rule trans :premises (@p88 @p22)) % 0.36/0.56 (step @p90 :rule trans :premises (@p49 @p89)) % 0.36/0.56 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.36/0.56 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.36/0.56 (step @p93 :rule not_not_elim :premises (@p92)) % 0.36/0.56 (step @p94 :rule not_implies_elim1 :premises (@p91)) % 0.36/0.56 (step @p95 :rule and_elim :premises (@p94) :args (0)) % 0.36/0.56 (step @p96 :rule instantiate :premises (@p95) :args (@t51)) % 0.36/0.56 (assume-push @p139 @t52) % 0.36/0.56 (assume-push @p140 @t29) % 0.36/0.56 (assume-push @p141 (= @t1 480)) % 0.36/0.56 (step @p100 :rule evaluate :args ((<= 0 -21))) % 0.36/0.56 (step @p101 :rule evaluate :args ((+ 480 -501))) % 0.36/0.56 (step @p102 :rule evaluate :args (@t53)) % 0.36/0.56 (step @p103 :rule nary_cong :premises (@p80 @p102) :args (@t54)) % 0.36/0.56 (step @p104 :rule trans :premises (@p103 @p101)) % 0.36/0.56 (step @p105 :rule arith_poly_norm :args ((= @t55 0))) % 0.36/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args ((<= @t55 @t54))) % 0.36/0.56 (step @p107 :rule trans :premises (@p106 @p100)) % 0.36/0.56 (step @p108 :rule arith_mult_neg :args (-1 @t29)) % 0.36/0.56 (step @p109 :rule evaluate :args ((< -1 0))) % 0.36/0.56 (step @p110 :rule true_elim :premises (@p109)) % 0.36/0.56 (step @p111 :rule and_intro :premises (@p110 @p93)) % 0.36/0.56 (step @p112 :rule modus_ponens :premises (@p111 @p108)) % 0.36/0.56 (step @p113 :rule arith_sum_ub :premises (@p141 @p112)) % 0.36/0.56 (step @p114 false :rule eq_resolve :premises (@p113 @p107)) % 0.36/0.56 (step-pop @p142 :rule scope :premises (@p114)) % 0.36/0.56 (step @p115 :rule process_scope :premises (@p142) :args (false)) % 0.36/0.56 (step @p117 :rule instantiate :premises (@p95) :args (@t51)) % 0.36/0.56 (step @p118 :rule symm :premises (@p81)) % 0.36/0.56 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.56 (step @p120 :rule symm :premises (@p119)) % 0.36/0.56 (step @p121 false :rule contra :premises (@p120 @p115)) % 0.36/0.56 (step-pop @p143 :rule scope :premises (@p121)) % 0.36/0.56 (step-pop @p144 :rule scope :premises (@p143)) % 0.36/0.56 (step @p122 :rule process_scope :premises (@p144) :args (false)) % 0.36/0.56 (assume-push @p145 @t13) % 0.36/0.56 (assume-push @p146 @t29) % 0.36/0.56 (assume-push @p147 @t56) % 0.36/0.56 (step @p118 :rule symm :premises (@p81)) % 0.36/0.56 (step @p128 :rule trans :premises (@p118 @p96)) % 0.36/0.56 (step @p129 :rule and_intro :premises (@p128 @p93)) % 0.36/0.56 (step-pop @p148 :rule scope :premises (@p129)) % 0.36/0.56 (step-pop @p149 :rule scope :premises (@p148)) % 0.36/0.56 (step-pop @p150 :rule scope :premises (@p149)) % 0.36/0.56 (step @p130 :rule process_scope :premises (@p150) :args (@t57)) % 0.36/0.56 (step @p134 :rule implies_elim :premises (@p130)) % 0.36/0.56 (step @p135 :rule resolution :premises (@p134 @p122) :args (true @t57)) % 0.36/0.56 (step @p136 :rule not_and :premises (@p135)) % 0.36/0.56 (step @p137 :rule reordering :premises (@p136) :args ((or @t30 (not @t13) (not @t56)))) % 0.36/0.56 (step @p138 false :rule chain_m_resolution :premises (@p137 @p96 @p81 @p93) :args (false (@list false false false) (@list @t56 @t13 @t29))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------