%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG024_1 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:16:01 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG024_1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 23:04:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_ARI % 0.39/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort tptp.city 0) % 0.39/0.61 (declare-const tptp.berlin tptp.city) % 0.39/0.61 (declare-const tptp.hamburg tptp.city) % 0.39/0.61 (declare-const tptp.munich tptp.city) % 0.39/0.61 (declare-const tptp.cologne tptp.city) % 0.39/0.61 (declare-const tptp.frankfurt tptp.city) % 0.39/0.61 (declare-const tptp.saarbruecken tptp.city) % 0.39/0.61 (declare-const tptp.d (-> tptp.city tptp.city Int)) % 0.39/0.61 (declare-const tptp.kiel tptp.city) % 0.39/0.61 (declare-const tptp.inh (-> tptp.city Int)) % 0.39/0.61 (define @t1 () (@var "X" tptp.city)) % 0.39/0.61 (define @t2 () (tptp.inh @t1)) % 0.39/0.61 (define @t3 () (tptp.d tptp.kiel @t1)) % 0.39/0.61 (define @t4 () (and (<= @t3 100) (<= 1000000 @t2))) % 0.39/0.61 (define @t5 () (@list @t1)) % 0.39/0.61 (define @t6 () (exists @t5 @t4)) % 0.39/0.61 (define @t7 () (= (tptp.inh tptp.kiel) 238281)) % 0.39/0.61 (define @t8 () (= (tptp.inh tptp.saarbruecken) 175810)) % 0.39/0.61 (define @t9 () (= (tptp.inh tptp.frankfurt) 671927)) % 0.39/0.61 (define @t10 () (= (tptp.inh tptp.cologne) 998105)) % 0.39/0.61 (define @t11 () (= (tptp.inh tptp.munich) 1330440)) % 0.39/0.61 (define @t12 () (tptp.inh tptp.hamburg)) % 0.39/0.61 (define @t13 () (= @t12 1774224)) % 0.39/0.61 (define @t14 () (= (tptp.inh tptp.berlin) 3442675)) % 0.39/0.61 (define @t15 () (= (tptp.d tptp.munich tptp.saarbruecken) 360)) % 0.39/0.61 (define @t16 () (= (tptp.d tptp.munich tptp.frankfurt) 300)) % 0.39/0.61 (define @t17 () (= (tptp.d tptp.hamburg tptp.berlin) 250)) % 0.39/0.61 (define @t18 () (tptp.d tptp.hamburg tptp.kiel)) % 0.39/0.61 (define @t19 () (= @t18 90)) % 0.39/0.61 (define @t20 () (= (tptp.d tptp.cologne tptp.frankfurt) 150)) % 0.39/0.61 (define @t21 () (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) % 0.39/0.61 (define @t22 () (= (tptp.d tptp.hamburg tptp.cologne) 360)) % 0.39/0.61 (define @t23 () (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) % 0.39/0.61 (define @t24 () (= (tptp.d tptp.saarbruecken tptp.frankfurt) 160)) % 0.39/0.61 (define @t25 () (= (tptp.d tptp.berlin tptp.frankfurt) 420)) % 0.39/0.61 (define @t26 () (= (tptp.d tptp.berlin tptp.cologne) 480)) % 0.39/0.61 (define @t27 () (= (tptp.d tptp.berlin tptp.munich) 510)) % 0.39/0.61 (define @t28 () (forall @t5 (= (tptp.d @t1 @t1) 0))) % 0.39/0.61 (define @t29 () (@var "Z" tptp.city)) % 0.39/0.61 (define @t30 () (@var "Y" tptp.city)) % 0.39/0.61 (define @t31 () (tptp.d @t30 @t29)) % 0.39/0.61 (define @t32 () (tptp.d @t1 @t30)) % 0.39/0.61 (define @t33 () (+ @t32 @t31)) % 0.39/0.61 (define @t34 () (tptp.d @t1 @t29)) % 0.39/0.61 (define @t35 () (@list @t1 @t30 @t29)) % 0.39/0.61 (define @t36 () (forall @t35 (<= @t34 @t33))) % 0.39/0.61 (define @t37 () (forall (@list @t1 @t30) (= @t32 (tptp.d @t30 @t1)))) % 0.39/0.61 (define @t38 () (and @t37 @t36 @t28 @t27 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t19 @t17 @t16 @t15 @t14 @t13 @t11 @t10 @t9 @t8 @t7)) % 0.39/0.61 (define @t39 () (=> @t38 @t6)) % 0.39/0.61 (define @t40 () (not @t39)) % 0.39/0.61 (define @t41 () (>= @t2 1000000)) % 0.39/0.61 (define @t42 () (not @t41)) % 0.39/0.61 (define @t43 () (>= @t3 101)) % 0.39/0.61 (define @t44 () (not @t43)) % 0.39/0.61 (define @t45 () (and @t44 @t41)) % 0.39/0.61 (define @t46 () (forall @t5 (not @t45))) % 0.39/0.61 (define @t47 () (not @t46)) % 0.39/0.61 (define @t48 () (+ 100 1)) % 0.39/0.61 (define @t49 () (>= @t3 @t48)) % 0.39/0.61 (define @t50 () (+ @t32 (* -1 @t34) @t31)) % 0.39/0.61 (define @t51 () (>= @t50 0)) % 0.39/0.61 (define @t52 () (not (forall @t5 (or @t43 @t42)))) % 0.39/0.61 (define @t53 () (forall @t35 @t51)) % 0.39/0.61 (define @t54 () (= 238281 238281)) % 0.39/0.61 (define @t55 () (= 175810 175810)) % 0.39/0.61 (define @t56 () (= 671927 671927)) % 0.39/0.61 (define @t57 () (= 998105 998105)) % 0.39/0.61 (define @t58 () (= 1330440 1330440)) % 0.39/0.61 (define @t59 () (= 1774224 1774224)) % 0.39/0.61 (define @t60 () (= 3442675 3442675)) % 0.39/0.61 (define @t61 () (= 360 360)) % 0.39/0.61 (define @t62 () (= 300 300)) % 0.39/0.61 (define @t63 () (= 250 250)) % 0.39/0.61 (define @t64 () (= 90 90)) % 0.39/0.61 (define @t65 () (= 150 150)) % 0.39/0.61 (define @t66 () (= 390 390)) % 0.39/0.61 (define @t67 () (= 190 190)) % 0.39/0.61 (define @t68 () (= 160 160)) % 0.39/0.61 (define @t69 () (= 420 420)) % 0.39/0.61 (define @t70 () (= 480 480)) % 0.39/0.61 (define @t71 () (= 510 510)) % 0.39/0.61 (define @t72 () (and @t37 @t53 @t28 @t71 @t70 @t69 @t68 @t67 @t61 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54)) % 0.39/0.61 (define @t73 () (=> @t72 @t52)) % 0.39/0.61 (define @t74 () (and @t37 @t53 @t28 @t27 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t19 @t17 @t16 @t15 @t14 @t13 @t11 @t10 @t9 @t8 @t7)) % 0.39/0.61 (define @t75 () (=> @t74 @t52)) % 0.39/0.61 (define @t76 () (@list tptp.hamburg tptp.kiel)) % 0.39/0.61 (define @t77 () (>= @t12 1000000)) % 0.39/0.61 (define @t78 () (not @t13)) % 0.39/0.61 (define @t79 () (not @t77)) % 0.39/0.61 (define @t80 () (+ 999999 1)) % 0.39/0.61 (define @t81 () (>= @t12 @t80)) % 0.39/0.61 (define @t82 () (<= @t12 999999)) % 0.39/0.61 (define @t83 () (* -1 1774224)) % 0.39/0.61 (define @t84 () (+ 999999 @t83)) % 0.39/0.61 (define @t85 () (+ @t12 (* -1 @t12))) % 0.39/0.61 (define @t86 () (< -1 0)) % 0.39/0.61 (define @t87 () (and @t79 @t13)) % 0.39/0.61 (define @t88 () (tptp.d tptp.kiel tptp.hamburg)) % 0.39/0.61 (define @t89 () (>= @t88 101)) % 0.39/0.61 (define @t90 () (or @t89 @t79)) % 0.39/0.61 (define @t91 () (= 90 @t88)) % 0.39/0.61 (define @t92 () (* -1 101)) % 0.39/0.61 (define @t93 () (+ @t92 90)) % 0.39/0.61 (define @t94 () (+ (* -1 @t88) @t88)) % 0.39/0.61 (define @t95 () (= @t18 @t88)) % 0.39/0.61 (define @t96 () (and @t89 @t91)) % 0.39/0.61 (assume @p1 @t40) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule refl :args (@t42)) % 0.39/0.61 (step @p4 :rule bool-double-not-elim :args (@t43)) % 0.39/0.61 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or (not @t44) @t42))) % 0.39/0.61 (step @p6 :rule bool-and-de-morgan :args (@t44 @t41 true)) % 0.39/0.61 (step @p7 :rule trans :premises (@p6 @p5)) % 0.39/0.61 (step @p8 :rule cong :premises (@p7) :args (@t46)) % 0.39/0.61 (step @p9 :rule cong :premises (@p8) :args (@t47)) % 0.39/0.61 (step @p10 :rule exists-elim :args ((= (exists @t5 @t45) @t47))) % 0.39/0.61 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.61 (step @p12 :rule arith-elim-leq :args (1000000 @t2)) % 0.39/0.61 (step @p13 :rule evaluate :args (@t48)) % 0.39/0.61 (step @p14 :rule refl :args (@t3)) % 0.39/0.61 (step @p15 :rule cong :premises (@p14 @p13) :args (@t49)) % 0.39/0.61 (step @p16 :rule cong :premises (@p15) :args ((not @t49))) % 0.39/0.61 (step @p17 :rule arith-leq-norm :args (@t3 100)) % 0.39/0.61 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.61 (step @p19 :rule nary_cong :premises (@p18 @p12) :args (@t4)) % 0.39/0.61 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 0.39/0.61 (step @p21 :rule trans :premises (@p20 @p11)) % 0.39/0.61 (step @p22 :rule refl :args (@t7)) % 0.39/0.61 (step @p23 :rule refl :args (@t8)) % 0.39/0.61 (step @p24 :rule refl :args (@t9)) % 0.39/0.61 (step @p25 :rule refl :args (@t10)) % 0.39/0.61 (step @p26 :rule refl :args (@t11)) % 0.39/0.61 (step @p27 :rule refl :args (@t13)) % 0.39/0.61 (step @p28 :rule refl :args (@t14)) % 0.39/0.61 (step @p29 :rule refl :args (@t15)) % 0.39/0.61 (step @p30 :rule refl :args (@t16)) % 0.39/0.61 (step @p31 :rule refl :args (@t17)) % 0.39/0.61 (step @p32 :rule refl :args (@t19)) % 0.39/0.61 (step @p33 :rule refl :args (@t20)) % 0.39/0.61 (step @p34 :rule refl :args (@t21)) % 0.39/0.61 (step @p35 :rule refl :args (@t22)) % 0.39/0.61 (step @p36 :rule refl :args (@t23)) % 0.39/0.61 (step @p37 :rule refl :args (@t24)) % 0.39/0.61 (step @p38 :rule refl :args (@t25)) % 0.39/0.61 (step @p39 :rule refl :args (@t26)) % 0.39/0.61 (step @p40 :rule refl :args (@t27)) % 0.39/0.61 (step @p41 :rule refl :args (@t28)) % 0.39/0.61 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t33 @t34)) (* 1 (- @t50 0))))) % 0.39/0.61 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= @t33 @t34) @t51))) % 0.39/0.61 (step @p44 :rule arith-elim-leq :args (@t34 @t33)) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.61 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 0.39/0.61 (step @p47 :rule refl :args (@t37)) % 0.39/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22) :args (@t38)) % 0.39/0.61 (step @p49 :rule cong :premises (@p48 @p21) :args (@t39)) % 0.39/0.61 (step @p50 :rule cong :premises (@p49) :args (@t40)) % 0.39/0.61 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.39/0.61 (step @p52 :rule not_implies_elim1 :premises (@p51)) % 0.39/0.61 (step @p53 :rule and_elim :premises (@p52) :args (11)) % 0.39/0.61 (step @p54 :rule refl :args (@t52)) % 0.39/0.61 (step @p55 :rule aci_norm :args ((= (and @t37 @t53 @t28 true true true true true true true true true true true true true true true true true true true) (and @t37 @t53 @t28)))) % 0.39/0.61 (step @p56 :rule evaluate :args (@t54)) % 0.39/0.61 (step @p57 :rule evaluate :args (@t55)) % 0.39/0.61 (step @p58 :rule evaluate :args (@t56)) % 0.39/0.61 (step @p59 :rule evaluate :args (@t57)) % 0.39/0.61 (step @p60 :rule evaluate :args (@t58)) % 0.39/0.61 (step @p61 :rule evaluate :args (@t59)) % 0.39/0.61 (step @p62 :rule evaluate :args (@t60)) % 0.39/0.61 (step @p63 :rule evaluate :args (@t61)) % 0.39/0.61 (step @p64 :rule evaluate :args (@t62)) % 0.39/0.61 (step @p65 :rule evaluate :args (@t63)) % 0.39/0.61 (step @p66 :rule evaluate :args (@t64)) % 0.39/0.61 (step @p67 :rule evaluate :args (@t65)) % 0.39/0.61 (step @p68 :rule evaluate :args (@t66)) % 0.39/0.61 (step @p69 :rule evaluate :args (@t67)) % 0.39/0.61 (step @p70 :rule evaluate :args (@t68)) % 0.39/0.61 (step @p71 :rule evaluate :args (@t69)) % 0.39/0.61 (step @p72 :rule evaluate :args (@t70)) % 0.39/0.61 (step @p73 :rule evaluate :args (@t71)) % 0.39/0.61 (step @p74 :rule refl :args (@t53)) % 0.39/0.61 (step @p75 :rule nary_cong :premises (@p47 @p74 @p41 @p73 @p72 @p71 @p70 @p69 @p63 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56) :args (@t72)) % 0.39/0.61 (step @p76 :rule trans :premises (@p75 @p55)) % 0.39/0.61 (step @p77 :rule cong :premises (@p76 @p54) :args (@t73)) % 0.39/0.61 (step @p78 :rule cong :premises (@p77) :args ((not @t73))) % 0.39/0.61 (step @p79 :rule refl :args (238281)) % 0.39/0.61 (step @p80 :rule and_elim :premises (@p52) :args (21)) % 0.39/0.61 (step @p81 :rule cong :premises (@p80 @p79) :args (@t7)) % 0.39/0.61 (step @p82 :rule refl :args (175810)) % 0.39/0.61 (step @p83 :rule and_elim :premises (@p52) :args (20)) % 0.39/0.61 (step @p84 :rule cong :premises (@p83 @p82) :args (@t8)) % 0.39/0.61 (step @p85 :rule refl :args (671927)) % 0.39/0.61 (step @p86 :rule and_elim :premises (@p52) :args (19)) % 0.39/0.61 (step @p87 :rule cong :premises (@p86 @p85) :args (@t9)) % 0.39/0.61 (step @p88 :rule refl :args (998105)) % 0.39/0.61 (step @p89 :rule and_elim :premises (@p52) :args (18)) % 0.39/0.61 (step @p90 :rule cong :premises (@p89 @p88) :args (@t10)) % 0.39/0.61 (step @p91 :rule refl :args (1330440)) % 0.39/0.61 (step @p92 :rule and_elim :premises (@p52) :args (17)) % 0.39/0.61 (step @p93 :rule cong :premises (@p92 @p91) :args (@t11)) % 0.39/0.61 (step @p94 :rule refl :args (1774224)) % 0.39/0.61 (step @p95 :rule and_elim :premises (@p52) :args (16)) % 0.39/0.61 (step @p96 :rule cong :premises (@p95 @p94) :args (@t13)) % 0.39/0.61 (step @p97 :rule refl :args (3442675)) % 0.39/0.61 (step @p98 :rule and_elim :premises (@p52) :args (15)) % 0.39/0.61 (step @p99 :rule cong :premises (@p98 @p97) :args (@t14)) % 0.39/0.61 (step @p100 :rule refl :args (360)) % 0.39/0.61 (step @p101 :rule and_elim :premises (@p52) :args (14)) % 0.39/0.61 (step @p102 :rule cong :premises (@p101 @p100) :args (@t15)) % 0.39/0.61 (step @p103 :rule refl :args (300)) % 0.39/0.61 (step @p104 :rule and_elim :premises (@p52) :args (13)) % 0.39/0.61 (step @p105 :rule cong :premises (@p104 @p103) :args (@t16)) % 0.39/0.61 (step @p106 :rule refl :args (250)) % 0.39/0.61 (step @p107 :rule and_elim :premises (@p52) :args (12)) % 0.39/0.61 (step @p108 :rule cong :premises (@p107 @p106) :args (@t17)) % 0.39/0.61 (step @p109 :rule refl :args (90)) % 0.39/0.61 (step @p110 :rule cong :premises (@p53 @p109) :args (@t19)) % 0.39/0.61 (step @p111 :rule refl :args (150)) % 0.39/0.61 (step @p112 :rule and_elim :premises (@p52) :args (10)) % 0.39/0.61 (step @p113 :rule cong :premises (@p112 @p111) :args (@t20)) % 0.39/0.61 (step @p114 :rule refl :args (390)) % 0.39/0.61 (step @p115 :rule and_elim :premises (@p52) :args (9)) % 0.39/0.61 (step @p116 :rule cong :premises (@p115 @p114) :args (@t21)) % 0.39/0.61 (step @p117 :rule and_elim :premises (@p52) :args (8)) % 0.39/0.61 (step @p118 :rule cong :premises (@p117 @p100) :args (@t22)) % 0.39/0.61 (step @p119 :rule refl :args (190)) % 0.39/0.61 (step @p120 :rule and_elim :premises (@p52) :args (7)) % 0.39/0.61 (step @p121 :rule cong :premises (@p120 @p119) :args (@t23)) % 0.39/0.61 (step @p122 :rule refl :args (160)) % 0.39/0.61 (step @p123 :rule and_elim :premises (@p52) :args (6)) % 0.39/0.61 (step @p124 :rule cong :premises (@p123 @p122) :args (@t24)) % 0.39/0.61 (step @p125 :rule refl :args (420)) % 0.39/0.61 (step @p126 :rule and_elim :premises (@p52) :args (5)) % 0.39/0.61 (step @p127 :rule cong :premises (@p126 @p125) :args (@t25)) % 0.39/0.61 (step @p128 :rule refl :args (480)) % 0.39/0.61 (step @p129 :rule and_elim :premises (@p52) :args (4)) % 0.39/0.61 (step @p130 :rule cong :premises (@p129 @p128) :args (@t26)) % 0.39/0.61 (step @p131 :rule refl :args (510)) % 0.39/0.61 (step @p132 :rule and_elim :premises (@p52) :args (3)) % 0.39/0.61 (step @p133 :rule cong :premises (@p132 @p131) :args (@t27)) % 0.39/0.61 (step @p134 :rule nary_cong :premises (@p47 @p74 @p41 @p133 @p130 @p127 @p124 @p121 @p118 @p116 @p113 @p110 @p108 @p105 @p102 @p99 @p96 @p93 @p90 @p87 @p84 @p81) :args (@t74)) % 0.39/0.61 (step @p135 :rule cong :premises (@p134 @p54) :args (@t75)) % 0.39/0.61 (step @p136 :rule cong :premises (@p135) :args ((not @t75))) % 0.39/0.61 (step @p137 :rule trans :premises (@p136 @p78)) % 0.39/0.61 (step @p138 :rule trans :premises (@p50 @p137)) % 0.39/0.61 (step @p139 :rule eq_resolve :premises (@p1 @p138)) % 0.39/0.61 (step @p140 :rule not_implies_elim1 :premises (@p139)) % 0.39/0.61 (step @p141 :rule and_elim :premises (@p140) :args (0)) % 0.39/0.61 (step @p142 :rule instantiate :premises (@p141) :args (@t76)) % 0.39/0.61 (step @p143 :rule not_implies_elim2 :premises (@p139)) % 0.39/0.61 (step @p144 :rule not_not_elim :premises (@p143)) % 0.39/0.61 (step @p145 :rule instantiate :premises (@p144) :args ((@list tptp.hamburg))) % 0.39/0.61 (step @p146 :rule bool-double-not-elim :args (@t77)) % 0.39/0.61 (step @p147 :rule refl :args (@t78)) % 0.39/0.61 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t78 (not @t79)))) % 0.39/0.61 (assume-push @p260 @t79) % 0.39/0.61 (assume-push @p261 @t13) % 0.39/0.61 (step @p151 :rule evaluate :args (@t80)) % 0.39/0.61 (step @p152 :rule refl :args (@t12)) % 0.39/0.61 (step @p153 :rule cong :premises (@p152 @p151) :args (@t81)) % 0.39/0.61 (step @p154 :rule cong :premises (@p153) :args ((not @t81))) % 0.39/0.61 (step @p155 :rule arith-leq-norm :args (@t12 999999)) % 0.39/0.61 (step @p156 :rule trans :premises (@p155 @p154)) % 0.39/0.61 (step @p157 :rule cong :premises (@p156) :args ((not @t82))) % 0.39/0.61 (step @p158 :rule trans :premises (@p157 @p146)) % 0.39/0.61 (step @p159 :rule arith-elim-leq :args (@t12 999999)) % 0.39/0.61 (step @p160 :rule symm :premises (@p159)) % 0.39/0.61 (step @p161 :rule cong :premises (@p160) :args ((not (>= 999999 @t12)))) % 0.39/0.61 (step @p162 :rule arith-elim-gt :args (@t12 999999)) % 0.39/0.61 (step @p163 :rule trans :premises (@p162 @p161)) % 0.39/0.61 (step @p164 :rule trans :premises (@p163 @p158)) % 0.39/0.61 (step @p165 :rule cong :premises (@p164) :args ((not (> @t12 999999)))) % 0.39/0.61 (step @p166 :rule symm :premises (@p165)) % 0.39/0.61 (step @p167 :rule trans :premises (@p156 @p166)) % 0.39/0.61 (step @p168 :rule arith-elim-lt :args (@t12 1000000)) % 0.39/0.61 (step @p169 :rule symm :premises (@p168)) % 0.39/0.61 (step @p170 :rule eq_resolve :premises (@p260 @p169)) % 0.39/0.61 (step @p171 :rule int_tight_ub :premises (@p170)) % 0.39/0.61 (step @p172 :rule eq_resolve :premises (@p171 @p167)) % 0.39/0.61 (step @p173 :rule symm :premises (@p164)) % 0.39/0.61 (step @p174 :rule trans :premises (@p158 @p173)) % 0.39/0.61 (assume-push @p262 @t82) % 0.39/0.61 (step @p176 :rule evaluate :args ((<= 0 -774225))) % 0.39/0.61 (step @p177 :rule evaluate :args ((+ 999999 -1774224))) % 0.39/0.61 (step @p178 :rule evaluate :args (@t83)) % 0.39/0.61 (step @p179 :rule refl :args (999999)) % 0.39/0.61 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t84)) % 0.39/0.61 (step @p181 :rule trans :premises (@p180 @p177)) % 0.39/0.61 (step @p182 :rule arith_poly_norm :args ((= @t85 0))) % 0.39/0.61 (step @p183 :rule cong :premises (@p182 @p181) :args ((<= @t85 @t84))) % 0.39/0.61 (step @p184 :rule trans :premises (@p183 @p176)) % 0.39/0.61 (step @p185 :rule arith_mult_neg :args (-1 @t13)) % 0.39/0.61 (step @p186 :rule evaluate :args (@t86)) % 0.39/0.61 (step @p187 :rule true_elim :premises (@p186)) % 0.39/0.61 (step @p188 :rule and_intro :premises (@p187 @p95)) % 0.39/0.61 (step @p189 :rule modus_ponens :premises (@p188 @p185)) % 0.39/0.61 (step @p190 :rule arith_sum_ub :premises (@p262 @p189)) % 0.39/0.61 (step @p191 false :rule eq_resolve :premises (@p190 @p184)) % 0.39/0.61 (step-pop @p263 :rule scope :premises (@p191)) % 0.39/0.61 (step @p192 :rule process_scope :premises (@p263) :args (false)) % 0.39/0.61 (step @p194 :rule eq_resolve :premises (@p192 @p174)) % 0.39/0.61 (step @p195 false :rule contra :premises (@p194 @p172)) % 0.39/0.61 (step-pop @p264 :rule scope :premises (@p195)) % 0.39/0.61 (step-pop @p265 :rule scope :premises (@p264)) % 0.39/0.61 (step @p196 :rule process_scope :premises (@p265) :args (false)) % 0.39/0.61 (assume-push @p266 @t13) % 0.39/0.61 (assume-push @p267 @t79) % 0.39/0.61 (step @p201 :rule and_intro :premises (@p267 @p95)) % 0.39/0.61 (step-pop @p268 :rule scope :premises (@p201)) % 0.39/0.61 (step-pop @p269 :rule scope :premises (@p268)) % 0.39/0.61 (step @p202 :rule process_scope :premises (@p269) :args (@t87)) % 0.39/0.61 (step @p205 :rule implies_elim :premises (@p202)) % 0.39/0.61 (step @p206 :rule resolution :premises (@p205 @p196) :args (true @t87)) % 0.39/0.61 (step @p207 :rule not_and :premises (@p206)) % 0.39/0.61 (step @p208 :rule eq_resolve :premises (@p207 @p148)) % 0.39/0.61 (step @p209 :rule chain_m_resolution :premises (@p208 @p95) :args (@t77 (@list false) (@list @t13))) % 0.39/0.61 (step @p210 :rule cnf_or_pos :args (@t90)) % 0.39/0.61 (step @p211 :rule reordering :premises (@p210) :args ((or @t89 @t79 (not @t90)))) % 0.39/0.61 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p145) :args (@t89 (@list false false) (@list @t77 @t90))) % 0.39/0.61 (assume-push @p270 @t89) % 0.39/0.61 (assume-push @p271 @t91) % 0.39/0.61 (step @p215 :rule bool-double-not-elim :args (@t89)) % 0.39/0.61 (step @p216 :rule arith-elim-lt :args (@t88 101)) % 0.39/0.61 (step @p217 :rule cong :premises (@p216) :args ((not (< @t88 101)))) % 0.39/0.61 (step @p218 :rule trans :premises (@p217 @p215)) % 0.39/0.61 (step @p219 :rule symm :premises (@p218)) % 0.39/0.61 (step @p220 :rule eq_resolve :premises (@p270 @p219)) % 0.39/0.61 (step @p221 :rule symm :premises (@p216)) % 0.39/0.61 (assume-push @p272 @t89) % 0.39/0.61 (step @p223 :rule evaluate :args ((<= 0 -11))) % 0.39/0.61 (step @p224 :rule evaluate :args ((+ -101 90))) % 0.39/0.61 (step @p225 :rule evaluate :args (@t92)) % 0.39/0.61 (step @p226 :rule nary_cong :premises (@p225 @p109) :args (@t93)) % 0.39/0.61 (step @p227 :rule trans :premises (@p226 @p224)) % 0.39/0.61 (step @p228 :rule arith_poly_norm :args ((= @t94 0))) % 0.39/0.61 (step @p229 :rule cong :premises (@p228 @p227) :args ((<= @t94 @t93))) % 0.39/0.61 (step @p230 :rule trans :premises (@p229 @p223)) % 0.39/0.61 (step @p231 :rule instantiate :premises (@p141) :args (@t76)) % 0.39/0.61 (step @p232 :rule symm :premises (@p53)) % 0.39/0.61 (step @p233 :rule trans :premises (@p232 @p231)) % 0.39/0.61 (step @p234 :rule symm :premises (@p233)) % 0.39/0.61 (step @p235 :rule arith_mult_neg :args (-1 @t89)) % 0.39/0.61 (step @p186 :rule evaluate :args (@t86)) % 0.39/0.61 (step @p187 :rule true_elim :premises (@p186)) % 0.39/0.61 (step @p236 :rule and_intro :premises (@p187 @p270)) % 0.39/0.61 (step @p237 :rule modus_ponens :premises (@p236 @p235)) % 0.39/0.61 (step @p238 :rule arith_sum_ub :premises (@p237 @p234)) % 0.39/0.61 (step @p239 false :rule eq_resolve :premises (@p238 @p230)) % 0.39/0.61 (step-pop @p273 :rule scope :premises (@p239)) % 0.39/0.61 (step @p240 :rule process_scope :premises (@p273) :args (false)) % 0.39/0.61 (step @p242 :rule eq_resolve :premises (@p240 @p221)) % 0.39/0.61 (step @p243 false :rule contra :premises (@p242 @p220)) % 0.39/0.61 (step-pop @p274 :rule scope :premises (@p243)) % 0.39/0.61 (step-pop @p275 :rule scope :premises (@p274)) % 0.39/0.61 (step @p244 :rule process_scope :premises (@p275) :args (false)) % 0.39/0.61 (assume-push @p276 @t19) % 0.39/0.61 (assume-push @p277 @t95) % 0.39/0.61 (assume-push @p278 @t89) % 0.39/0.61 (step @p232 :rule symm :premises (@p53)) % 0.39/0.61 (step @p250 :rule trans :premises (@p232 @p142)) % 0.39/0.61 (step @p251 :rule and_intro :premises (@p278 @p250)) % 0.39/0.61 (step-pop @p279 :rule scope :premises (@p251)) % 0.39/0.61 (step-pop @p280 :rule scope :premises (@p279)) % 0.39/0.61 (step-pop @p281 :rule scope :premises (@p280)) % 0.39/0.61 (step @p252 :rule process_scope :premises (@p281) :args (@t96)) % 0.39/0.61 (step @p256 :rule implies_elim :premises (@p252)) % 0.39/0.61 (step @p257 :rule resolution :premises (@p256 @p244) :args (true @t96)) % 0.39/0.61 (step @p258 :rule not_and :premises (@p257)) % 0.39/0.61 (step @p259 false :rule chain_m_resolution :premises (@p258 @p212 @p142 @p53) :args (false (@list false false false) (@list @t89 @t95 @t19))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------