%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG025_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 : n019.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 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEG025_1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n019.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:04:04 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.37/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort tptp.city 0) % 0.37/0.61 (declare-const tptp.berlin tptp.city) % 0.37/0.61 (declare-const tptp.hamburg tptp.city) % 0.37/0.61 (declare-const tptp.munich tptp.city) % 0.37/0.61 (declare-const tptp.cologne tptp.city) % 0.37/0.61 (declare-const tptp.frankfurt tptp.city) % 0.37/0.61 (declare-const tptp.kiel tptp.city) % 0.37/0.61 (declare-const tptp.d (-> tptp.city tptp.city Int)) % 0.37/0.61 (declare-const tptp.saarbruecken tptp.city) % 0.37/0.61 (declare-const tptp.inh (-> tptp.city Int)) % 0.37/0.61 (define @t1 () (@var "X" tptp.city)) % 0.37/0.61 (define @t2 () (tptp.inh @t1)) % 0.37/0.61 (define @t3 () (tptp.d tptp.saarbruecken @t1)) % 0.37/0.61 (define @t4 () (and (<= @t3 600) (<= 3000000 @t2))) % 0.37/0.61 (define @t5 () (@list @t1)) % 0.37/0.61 (define @t6 () (exists @t5 @t4)) % 0.37/0.61 (define @t7 () (= (tptp.inh tptp.kiel) 238281)) % 0.37/0.61 (define @t8 () (= (tptp.inh tptp.saarbruecken) 175810)) % 0.37/0.61 (define @t9 () (= (tptp.inh tptp.frankfurt) 671927)) % 0.37/0.61 (define @t10 () (= (tptp.inh tptp.cologne) 998105)) % 0.37/0.61 (define @t11 () (= (tptp.inh tptp.munich) 1330440)) % 0.37/0.61 (define @t12 () (= (tptp.inh tptp.hamburg) 1774224)) % 0.37/0.61 (define @t13 () (tptp.inh tptp.berlin)) % 0.37/0.61 (define @t14 () (= @t13 3442675)) % 0.37/0.61 (define @t15 () (= (tptp.d tptp.munich tptp.saarbruecken) 360)) % 0.37/0.61 (define @t16 () (= (tptp.d tptp.munich tptp.frankfurt) 300)) % 0.37/0.61 (define @t17 () (= (tptp.d tptp.hamburg tptp.berlin) 250)) % 0.37/0.61 (define @t18 () (= (tptp.d tptp.hamburg tptp.kiel) 90)) % 0.37/0.61 (define @t19 () (= (tptp.d tptp.cologne tptp.frankfurt) 150)) % 0.37/0.61 (define @t20 () (= (tptp.d tptp.hamburg tptp.frankfurt) 390)) % 0.37/0.61 (define @t21 () (= (tptp.d tptp.hamburg tptp.cologne) 360)) % 0.37/0.61 (define @t22 () (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) % 0.37/0.61 (define @t23 () (tptp.d tptp.saarbruecken tptp.frankfurt)) % 0.37/0.61 (define @t24 () (= @t23 160)) % 0.37/0.61 (define @t25 () (tptp.d tptp.berlin tptp.frankfurt)) % 0.37/0.61 (define @t26 () (= @t25 420)) % 0.37/0.61 (define @t27 () (= (tptp.d tptp.berlin tptp.cologne) 480)) % 0.37/0.61 (define @t28 () (= (tptp.d tptp.berlin tptp.munich) 510)) % 0.37/0.61 (define @t29 () (forall @t5 (= (tptp.d @t1 @t1) 0))) % 0.37/0.61 (define @t30 () (@var "Z" tptp.city)) % 0.37/0.61 (define @t31 () (@var "Y" tptp.city)) % 0.37/0.61 (define @t32 () (tptp.d @t31 @t30)) % 0.37/0.61 (define @t33 () (tptp.d @t1 @t31)) % 0.37/0.61 (define @t34 () (+ @t33 @t32)) % 0.37/0.61 (define @t35 () (tptp.d @t1 @t30)) % 0.37/0.61 (define @t36 () (@list @t1 @t31 @t30)) % 0.37/0.61 (define @t37 () (forall @t36 (<= @t35 @t34))) % 0.37/0.61 (define @t38 () (forall (@list @t1 @t31) (= @t33 (tptp.d @t31 @t1)))) % 0.37/0.61 (define @t39 () (and @t38 @t37 @t29 @t28 @t27 @t26 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14 @t12 @t11 @t10 @t9 @t8 @t7)) % 0.37/0.61 (define @t40 () (=> @t39 @t6)) % 0.37/0.61 (define @t41 () (not @t40)) % 0.37/0.61 (define @t42 () (>= @t2 3000000)) % 0.37/0.61 (define @t43 () (not @t42)) % 0.37/0.61 (define @t44 () (>= @t3 601)) % 0.37/0.61 (define @t45 () (not @t44)) % 0.37/0.61 (define @t46 () (and @t45 @t42)) % 0.37/0.61 (define @t47 () (forall @t5 (not @t46))) % 0.37/0.61 (define @t48 () (not @t47)) % 0.37/0.61 (define @t49 () (+ 600 1)) % 0.37/0.61 (define @t50 () (>= @t3 @t49)) % 0.37/0.61 (define @t51 () (+ @t33 (* -1 @t35) @t32)) % 0.37/0.61 (define @t52 () (>= @t51 0)) % 0.37/0.61 (define @t53 () (not (forall @t5 (or @t44 @t43)))) % 0.37/0.61 (define @t54 () (forall @t36 @t52)) % 0.37/0.61 (define @t55 () (= 238281 238281)) % 0.37/0.61 (define @t56 () (= 175810 175810)) % 0.37/0.61 (define @t57 () (= 671927 671927)) % 0.37/0.61 (define @t58 () (= 998105 998105)) % 0.37/0.61 (define @t59 () (= 1330440 1330440)) % 0.37/0.61 (define @t60 () (= 1774224 1774224)) % 0.37/0.61 (define @t61 () (= 3442675 3442675)) % 0.37/0.61 (define @t62 () (= 360 360)) % 0.37/0.61 (define @t63 () (= 300 300)) % 0.37/0.61 (define @t64 () (= 250 250)) % 0.37/0.61 (define @t65 () (= 90 90)) % 0.37/0.61 (define @t66 () (= 150 150)) % 0.37/0.61 (define @t67 () (= 390 390)) % 0.37/0.61 (define @t68 () (= 190 190)) % 0.37/0.61 (define @t69 () (= 160 160)) % 0.37/0.61 (define @t70 () (= 420 420)) % 0.37/0.61 (define @t71 () (= 480 480)) % 0.37/0.61 (define @t72 () (= 510 510)) % 0.37/0.61 (define @t73 () (and @t38 @t54 @t29 @t72 @t71 @t70 @t69 @t68 @t62 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t56 @t55)) % 0.37/0.61 (define @t74 () (=> @t73 @t53)) % 0.37/0.61 (define @t75 () (and @t38 @t54 @t29 @t28 @t27 @t26 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14 @t12 @t11 @t10 @t9 @t8 @t7)) % 0.37/0.61 (define @t76 () (=> @t75 @t53)) % 0.37/0.61 (define @t77 () (@list tptp.berlin tptp.frankfurt)) % 0.37/0.61 (define @t78 () (>= @t13 3000000)) % 0.37/0.61 (define @t79 () (not @t14)) % 0.37/0.61 (define @t80 () (not @t78)) % 0.37/0.61 (define @t81 () (+ 2999999 1)) % 0.37/0.61 (define @t82 () (>= @t13 @t81)) % 0.37/0.61 (define @t83 () (<= @t13 2999999)) % 0.37/0.61 (define @t84 () (* -1 3442675)) % 0.37/0.61 (define @t85 () (+ 2999999 @t84)) % 0.37/0.61 (define @t86 () (+ @t13 (* -1 @t13))) % 0.37/0.61 (define @t87 () (< -1 0)) % 0.37/0.61 (define @t88 () (and @t80 @t14)) % 0.37/0.61 (define @t89 () (@list false)) % 0.37/0.61 (define @t90 () (tptp.d tptp.saarbruecken tptp.berlin)) % 0.37/0.61 (define @t91 () (>= @t90 601)) % 0.37/0.61 (define @t92 () (or @t91 @t80)) % 0.37/0.61 (define @t93 () (* -1 @t90)) % 0.37/0.61 (define @t94 () (tptp.d tptp.frankfurt tptp.berlin)) % 0.37/0.61 (define @t95 () (+ @t23 @t94 @t93)) % 0.37/0.61 (define @t96 () (+ @t23 @t93 @t94)) % 0.37/0.61 (define @t97 () (>= @t96 0)) % 0.37/0.61 (define @t98 () (>= @t95 0)) % 0.37/0.61 (define @t99 () (= 420 @t94)) % 0.37/0.61 (define @t100 () (* -1 601)) % 0.37/0.61 (define @t101 () (* -1 0)) % 0.37/0.61 (define @t102 () (+ @t101 @t100 420 160)) % 0.37/0.61 (define @t103 () (+ (* -1 @t23) (* -1 @t94) @t90)) % 0.37/0.61 (define @t104 () (* -1 @t95)) % 0.37/0.61 (define @t105 () (+ @t104 @t93 @t94 @t23)) % 0.37/0.61 (define @t106 () (= @t25 @t94)) % 0.37/0.61 (define @t107 () (and @t24 @t99 @t91 @t98)) % 0.37/0.61 (assume @p1 @t41) % 0.37/0.61 (assume @p2 true) % 0.37/0.61 (step @p3 :rule refl :args (@t43)) % 0.37/0.61 (step @p4 :rule bool-double-not-elim :args (@t44)) % 0.37/0.61 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or (not @t45) @t43))) % 0.37/0.61 (step @p6 :rule bool-and-de-morgan :args (@t45 @t42 true)) % 0.37/0.61 (step @p7 :rule trans :premises (@p6 @p5)) % 0.37/0.61 (step @p8 :rule cong :premises (@p7) :args (@t47)) % 0.37/0.61 (step @p9 :rule cong :premises (@p8) :args (@t48)) % 0.37/0.61 (step @p10 :rule exists-elim :args ((= (exists @t5 @t46) @t48))) % 0.37/0.61 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.61 (step @p12 :rule arith-elim-leq :args (3000000 @t2)) % 0.37/0.61 (step @p13 :rule evaluate :args (@t49)) % 0.37/0.61 (step @p14 :rule refl :args (@t3)) % 0.37/0.61 (step @p15 :rule cong :premises (@p14 @p13) :args (@t50)) % 0.37/0.61 (step @p16 :rule cong :premises (@p15) :args ((not @t50))) % 0.37/0.61 (step @p17 :rule arith-leq-norm :args (@t3 600)) % 0.37/0.61 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.61 (step @p19 :rule nary_cong :premises (@p18 @p12) :args (@t4)) % 0.37/0.61 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 0.37/0.61 (step @p21 :rule trans :premises (@p20 @p11)) % 0.37/0.61 (step @p22 :rule refl :args (@t7)) % 0.37/0.61 (step @p23 :rule refl :args (@t8)) % 0.37/0.61 (step @p24 :rule refl :args (@t9)) % 0.37/0.61 (step @p25 :rule refl :args (@t10)) % 0.37/0.61 (step @p26 :rule refl :args (@t11)) % 0.37/0.61 (step @p27 :rule refl :args (@t12)) % 0.37/0.61 (step @p28 :rule refl :args (@t14)) % 0.37/0.61 (step @p29 :rule refl :args (@t15)) % 0.37/0.61 (step @p30 :rule refl :args (@t16)) % 0.37/0.61 (step @p31 :rule refl :args (@t17)) % 0.37/0.61 (step @p32 :rule refl :args (@t18)) % 0.37/0.61 (step @p33 :rule refl :args (@t19)) % 0.37/0.61 (step @p34 :rule refl :args (@t20)) % 0.37/0.61 (step @p35 :rule refl :args (@t21)) % 0.37/0.61 (step @p36 :rule refl :args (@t22)) % 0.37/0.61 (step @p37 :rule refl :args (@t24)) % 0.37/0.61 (step @p38 :rule refl :args (@t26)) % 0.37/0.61 (step @p39 :rule refl :args (@t27)) % 0.37/0.61 (step @p40 :rule refl :args (@t28)) % 0.37/0.61 (step @p41 :rule refl :args (@t29)) % 0.37/0.61 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t34 @t35)) (* 1 (- @t51 0))))) % 0.37/0.61 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= @t34 @t35) @t52))) % 0.37/0.61 (step @p44 :rule arith-elim-leq :args (@t35 @t34)) % 0.37/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.61 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 0.37/0.61 (step @p47 :rule refl :args (@t38)) % 0.37/0.61 (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 (@t39)) % 0.37/0.61 (step @p49 :rule cong :premises (@p48 @p21) :args (@t40)) % 0.37/0.61 (step @p50 :rule cong :premises (@p49) :args (@t41)) % 0.37/0.61 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.37/0.61 (step @p52 :rule not_implies_elim1 :premises (@p51)) % 0.37/0.61 (step @p53 :rule and_elim :premises (@p52) :args (5)) % 0.37/0.61 (step @p54 :rule and_elim :premises (@p52) :args (6)) % 0.37/0.61 (step @p55 :rule refl :args (@t53)) % 0.37/0.61 (step @p56 :rule aci_norm :args ((= (and @t38 @t54 @t29 true true true true true true true true true true true true true true true true true true true) (and @t38 @t54 @t29)))) % 0.37/0.61 (step @p57 :rule evaluate :args (@t55)) % 0.37/0.61 (step @p58 :rule evaluate :args (@t56)) % 0.37/0.61 (step @p59 :rule evaluate :args (@t57)) % 0.37/0.61 (step @p60 :rule evaluate :args (@t58)) % 0.37/0.61 (step @p61 :rule evaluate :args (@t59)) % 0.37/0.61 (step @p62 :rule evaluate :args (@t60)) % 0.37/0.61 (step @p63 :rule evaluate :args (@t61)) % 0.37/0.61 (step @p64 :rule evaluate :args (@t62)) % 0.37/0.61 (step @p65 :rule evaluate :args (@t63)) % 0.37/0.61 (step @p66 :rule evaluate :args (@t64)) % 0.37/0.61 (step @p67 :rule evaluate :args (@t65)) % 0.37/0.61 (step @p68 :rule evaluate :args (@t66)) % 0.37/0.61 (step @p69 :rule evaluate :args (@t67)) % 0.37/0.61 (step @p70 :rule evaluate :args (@t68)) % 0.37/0.61 (step @p71 :rule evaluate :args (@t69)) % 0.37/0.61 (step @p72 :rule evaluate :args (@t70)) % 0.37/0.61 (step @p73 :rule evaluate :args (@t71)) % 0.37/0.61 (step @p74 :rule evaluate :args (@t72)) % 0.37/0.61 (step @p75 :rule refl :args (@t54)) % 0.37/0.61 (step @p76 :rule nary_cong :premises (@p47 @p75 @p41 @p74 @p73 @p72 @p71 @p70 @p64 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57) :args (@t73)) % 0.37/0.61 (step @p77 :rule trans :premises (@p76 @p56)) % 0.37/0.61 (step @p78 :rule cong :premises (@p77 @p55) :args (@t74)) % 0.37/0.61 (step @p79 :rule cong :premises (@p78) :args ((not @t74))) % 0.37/0.61 (step @p80 :rule refl :args (238281)) % 0.37/0.61 (step @p81 :rule and_elim :premises (@p52) :args (21)) % 0.37/0.61 (step @p82 :rule cong :premises (@p81 @p80) :args (@t7)) % 0.37/0.61 (step @p83 :rule refl :args (175810)) % 0.37/0.61 (step @p84 :rule and_elim :premises (@p52) :args (20)) % 0.37/0.61 (step @p85 :rule cong :premises (@p84 @p83) :args (@t8)) % 0.37/0.61 (step @p86 :rule refl :args (671927)) % 0.37/0.61 (step @p87 :rule and_elim :premises (@p52) :args (19)) % 0.37/0.61 (step @p88 :rule cong :premises (@p87 @p86) :args (@t9)) % 0.37/0.61 (step @p89 :rule refl :args (998105)) % 0.37/0.61 (step @p90 :rule and_elim :premises (@p52) :args (18)) % 0.37/0.61 (step @p91 :rule cong :premises (@p90 @p89) :args (@t10)) % 0.37/0.61 (step @p92 :rule refl :args (1330440)) % 0.37/0.61 (step @p93 :rule and_elim :premises (@p52) :args (17)) % 0.37/0.61 (step @p94 :rule cong :premises (@p93 @p92) :args (@t11)) % 0.37/0.61 (step @p95 :rule refl :args (1774224)) % 0.37/0.61 (step @p96 :rule and_elim :premises (@p52) :args (16)) % 0.37/0.61 (step @p97 :rule cong :premises (@p96 @p95) :args (@t12)) % 0.37/0.61 (step @p98 :rule refl :args (3442675)) % 0.37/0.61 (step @p99 :rule and_elim :premises (@p52) :args (15)) % 0.37/0.61 (step @p100 :rule cong :premises (@p99 @p98) :args (@t14)) % 0.37/0.61 (step @p101 :rule refl :args (360)) % 0.37/0.61 (step @p102 :rule and_elim :premises (@p52) :args (14)) % 0.37/0.61 (step @p103 :rule cong :premises (@p102 @p101) :args (@t15)) % 0.37/0.61 (step @p104 :rule refl :args (300)) % 0.37/0.61 (step @p105 :rule and_elim :premises (@p52) :args (13)) % 0.37/0.61 (step @p106 :rule cong :premises (@p105 @p104) :args (@t16)) % 0.37/0.61 (step @p107 :rule refl :args (250)) % 0.37/0.61 (step @p108 :rule and_elim :premises (@p52) :args (12)) % 0.37/0.61 (step @p109 :rule cong :premises (@p108 @p107) :args (@t17)) % 0.37/0.61 (step @p110 :rule refl :args (90)) % 0.37/0.61 (step @p111 :rule and_elim :premises (@p52) :args (11)) % 0.37/0.61 (step @p112 :rule cong :premises (@p111 @p110) :args (@t18)) % 0.37/0.61 (step @p113 :rule refl :args (150)) % 0.37/0.61 (step @p114 :rule and_elim :premises (@p52) :args (10)) % 0.37/0.61 (step @p115 :rule cong :premises (@p114 @p113) :args (@t19)) % 0.37/0.61 (step @p116 :rule refl :args (390)) % 0.37/0.61 (step @p117 :rule and_elim :premises (@p52) :args (9)) % 0.37/0.61 (step @p118 :rule cong :premises (@p117 @p116) :args (@t20)) % 0.37/0.61 (step @p119 :rule and_elim :premises (@p52) :args (8)) % 0.37/0.61 (step @p120 :rule cong :premises (@p119 @p101) :args (@t21)) % 0.37/0.61 (step @p121 :rule refl :args (190)) % 0.37/0.61 (step @p122 :rule and_elim :premises (@p52) :args (7)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122 @p121) :args (@t22)) % 0.37/0.61 (step @p124 :rule refl :args (160)) % 0.37/0.61 (step @p125 :rule cong :premises (@p54 @p124) :args (@t24)) % 0.37/0.61 (step @p126 :rule refl :args (420)) % 0.37/0.61 (step @p127 :rule cong :premises (@p53 @p126) :args (@t26)) % 0.37/0.61 (step @p128 :rule refl :args (480)) % 0.37/0.61 (step @p129 :rule and_elim :premises (@p52) :args (4)) % 0.37/0.61 (step @p130 :rule cong :premises (@p129 @p128) :args (@t27)) % 0.37/0.61 (step @p131 :rule refl :args (510)) % 0.37/0.61 (step @p132 :rule and_elim :premises (@p52) :args (3)) % 0.37/0.61 (step @p133 :rule cong :premises (@p132 @p131) :args (@t28)) % 0.37/0.61 (step @p134 :rule nary_cong :premises (@p47 @p75 @p41 @p133 @p130 @p127 @p125 @p123 @p120 @p118 @p115 @p112 @p109 @p106 @p103 @p100 @p97 @p94 @p91 @p88 @p85 @p82) :args (@t75)) % 0.37/0.61 (step @p135 :rule cong :premises (@p134 @p55) :args (@t76)) % 0.37/0.61 (step @p136 :rule cong :premises (@p135) :args ((not @t76))) % 0.37/0.61 (step @p137 :rule trans :premises (@p136 @p79)) % 0.37/0.61 (step @p138 :rule trans :premises (@p50 @p137)) % 0.37/0.61 (step @p139 :rule eq_resolve :premises (@p1 @p138)) % 0.37/0.61 (step @p140 :rule not_implies_elim1 :premises (@p139)) % 0.37/0.61 (step @p141 :rule and_elim :premises (@p140) :args (0)) % 0.37/0.61 (step @p142 :rule instantiate :premises (@p141) :args (@t77)) % 0.37/0.61 (step @p143 :rule not_implies_elim2 :premises (@p139)) % 0.37/0.61 (step @p144 :rule not_not_elim :premises (@p143)) % 0.37/0.61 (step @p145 :rule instantiate :premises (@p144) :args ((@list tptp.berlin))) % 0.37/0.61 (step @p146 :rule bool-double-not-elim :args (@t78)) % 0.37/0.61 (step @p147 :rule refl :args (@t79)) % 0.37/0.61 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t79 (not @t80)))) % 0.37/0.61 (assume-push @p286 @t80) % 0.37/0.61 (assume-push @p287 @t14) % 0.37/0.61 (step @p151 :rule evaluate :args (@t81)) % 0.37/0.61 (step @p152 :rule refl :args (@t13)) % 0.37/0.61 (step @p153 :rule cong :premises (@p152 @p151) :args (@t82)) % 0.37/0.61 (step @p154 :rule cong :premises (@p153) :args ((not @t82))) % 0.37/0.61 (step @p155 :rule arith-leq-norm :args (@t13 2999999)) % 0.37/0.61 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.61 (step @p157 :rule cong :premises (@p156) :args ((not @t83))) % 0.37/0.61 (step @p158 :rule trans :premises (@p157 @p146)) % 0.37/0.61 (step @p159 :rule arith-elim-leq :args (@t13 2999999)) % 0.37/0.61 (step @p160 :rule symm :premises (@p159)) % 0.37/0.61 (step @p161 :rule cong :premises (@p160) :args ((not (>= 2999999 @t13)))) % 0.37/0.61 (step @p162 :rule arith-elim-gt :args (@t13 2999999)) % 0.37/0.61 (step @p163 :rule trans :premises (@p162 @p161)) % 0.37/0.61 (step @p164 :rule trans :premises (@p163 @p158)) % 0.37/0.61 (step @p165 :rule cong :premises (@p164) :args ((not (> @t13 2999999)))) % 0.37/0.61 (step @p166 :rule symm :premises (@p165)) % 0.37/0.61 (step @p167 :rule trans :premises (@p156 @p166)) % 0.37/0.61 (step @p168 :rule arith-elim-lt :args (@t13 3000000)) % 0.37/0.61 (step @p169 :rule symm :premises (@p168)) % 0.37/0.61 (step @p170 :rule eq_resolve :premises (@p286 @p169)) % 0.37/0.61 (step @p171 :rule int_tight_ub :premises (@p170)) % 0.37/0.61 (step @p172 :rule eq_resolve :premises (@p171 @p167)) % 0.37/0.61 (step @p173 :rule symm :premises (@p164)) % 0.37/0.61 (step @p174 :rule trans :premises (@p158 @p173)) % 0.37/0.61 (assume-push @p288 @t83) % 0.37/0.61 (step @p176 :rule evaluate :args ((<= 0 -442676))) % 0.37/0.61 (step @p177 :rule evaluate :args ((+ 2999999 -3442675))) % 0.37/0.61 (step @p178 :rule evaluate :args (@t84)) % 0.37/0.61 (step @p179 :rule refl :args (2999999)) % 0.37/0.61 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t85)) % 0.37/0.61 (step @p181 :rule trans :premises (@p180 @p177)) % 0.37/0.61 (step @p182 :rule arith_poly_norm :args ((= @t86 0))) % 0.37/0.61 (step @p183 :rule cong :premises (@p182 @p181) :args ((<= @t86 @t85))) % 0.37/0.61 (step @p184 :rule trans :premises (@p183 @p176)) % 0.37/0.61 (step @p185 :rule arith_mult_neg :args (-1 @t14)) % 0.37/0.61 (step @p186 :rule evaluate :args (@t87)) % 0.37/0.61 (step @p187 :rule true_elim :premises (@p186)) % 0.37/0.61 (step @p188 :rule and_intro :premises (@p187 @p99)) % 0.37/0.61 (step @p189 :rule modus_ponens :premises (@p188 @p185)) % 0.37/0.61 (step @p190 :rule arith_sum_ub :premises (@p288 @p189)) % 0.37/0.61 (step @p191 false :rule eq_resolve :premises (@p190 @p184)) % 0.37/0.61 (step-pop @p289 :rule scope :premises (@p191)) % 0.37/0.61 (step @p192 :rule process_scope :premises (@p289) :args (false)) % 0.37/0.61 (step @p194 :rule eq_resolve :premises (@p192 @p174)) % 0.37/0.61 (step @p195 false :rule contra :premises (@p194 @p172)) % 0.37/0.61 (step-pop @p290 :rule scope :premises (@p195)) % 0.37/0.61 (step-pop @p291 :rule scope :premises (@p290)) % 0.37/0.61 (step @p196 :rule process_scope :premises (@p291) :args (false)) % 0.37/0.61 (assume-push @p292 @t14) % 0.37/0.61 (assume-push @p293 @t80) % 0.37/0.61 (step @p201 :rule and_intro :premises (@p293 @p99)) % 0.37/0.61 (step-pop @p294 :rule scope :premises (@p201)) % 0.37/0.61 (step-pop @p295 :rule scope :premises (@p294)) % 0.37/0.61 (step @p202 :rule process_scope :premises (@p295) :args (@t88)) % 0.37/0.61 (step @p205 :rule implies_elim :premises (@p202)) % 0.37/0.61 (step @p206 :rule resolution :premises (@p205 @p196) :args (true @t88)) % 0.37/0.61 (step @p207 :rule not_and :premises (@p206)) % 0.37/0.61 (step @p208 :rule eq_resolve :premises (@p207 @p148)) % 0.37/0.61 (step @p209 :rule chain_m_resolution :premises (@p208 @p99) :args (@t78 @t89 (@list @t14))) % 0.37/0.61 (step @p210 :rule cnf_or_pos :args (@t92)) % 0.37/0.61 (step @p211 :rule reordering :premises (@p210) :args ((or @t91 @t80 (not @t92)))) % 0.37/0.61 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p145) :args (@t91 (@list false false) (@list @t78 @t92))) % 0.37/0.61 (step @p213 :rule and_elim :premises (@p140) :args (1)) % 0.37/0.61 (step @p214 :rule refl :args (0)) % 0.37/0.61 (step @p215 :rule arith_poly_norm :args ((= @t96 @t95))) % 0.37/0.61 (step @p216 :rule cong :premises (@p215 @p214) :args (@t97)) % 0.37/0.61 (step @p217 :rule cong :premises (@p75 @p216) :args ((=> @t54 @t97))) % 0.37/0.61 (assume-push @p296 @t54) % 0.37/0.61 (step @p219 :rule instantiate :premises (@p213) :args ((@list tptp.saarbruecken tptp.frankfurt tptp.berlin))) % 0.37/0.61 (step-pop @p297 :rule scope :premises (@p219)) % 0.37/0.61 (step @p220 :rule process_scope :premises (@p297) :args (@t97)) % 0.37/0.61 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.37/0.61 (step @p223 :rule implies_elim :premises (@p222)) % 0.37/0.61 (step @p224 :rule chain_m_resolution :premises (@p223 @p213) :args (@t98 @t89 (@list @t54))) % 0.37/0.61 (assume-push @p298 @t24) % 0.37/0.61 (assume-push @p299 @t99) % 0.37/0.61 (assume-push @p300 @t91) % 0.37/0.61 (assume-push @p301 @t98) % 0.37/0.61 (step @p229 :rule arith-elim-lt :args (@t95 0)) % 0.37/0.61 (step @p230 :rule symm :premises (@p229)) % 0.37/0.61 (assume-push @p302 @t98) % 0.37/0.61 (step @p232 :rule evaluate :args ((<= 0 -21))) % 0.37/0.61 (step @p233 :rule evaluate :args ((+ 0 -601 420 160))) % 0.37/0.61 (step @p234 :rule evaluate :args (@t100)) % 0.37/0.61 (step @p235 :rule evaluate :args (@t101)) % 0.37/0.61 (step @p236 :rule nary_cong :premises (@p235 @p234 @p126 @p124) :args (@t102)) % 0.37/0.61 (step @p237 :rule trans :premises (@p236 @p233)) % 0.37/0.61 (step @p238 :rule arith_poly_norm :args ((= (+ @t103 @t93 @t94 @t23) 0))) % 0.37/0.61 (step @p239 :rule refl :args (@t23)) % 0.37/0.61 (step @p240 :rule refl :args (@t94)) % 0.37/0.61 (step @p241 :rule refl :args (@t93)) % 0.37/0.61 (step @p242 :rule arith_poly_norm :args ((= @t104 @t103))) % 0.37/0.61 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240 @p239) :args (@t105)) % 0.37/0.61 (step @p244 :rule trans :premises (@p243 @p238)) % 0.37/0.61 (step @p245 :rule cong :premises (@p244 @p237) :args ((<= @t105 @t102))) % 0.37/0.61 (step @p246 :rule trans :premises (@p245 @p232)) % 0.37/0.61 (step @p247 :rule instantiate :premises (@p141) :args (@t77)) % 0.37/0.61 (step @p248 :rule symm :premises (@p53)) % 0.37/0.61 (step @p249 :rule trans :premises (@p248 @p247)) % 0.37/0.61 (step @p250 :rule symm :premises (@p249)) % 0.37/0.61 (step @p251 :rule arith_mult_neg :args (-1 @t91)) % 0.37/0.61 (step @p186 :rule evaluate :args (@t87)) % 0.37/0.61 (step @p187 :rule true_elim :premises (@p186)) % 0.37/0.61 (step @p252 :rule and_intro :premises (@p187 @p300)) % 0.37/0.61 (step @p253 :rule modus_ponens :premises (@p252 @p251)) % 0.37/0.61 (step @p254 :rule arith_mult_neg :args (-1 @t98)) % 0.37/0.61 (step @p255 :rule and_intro :premises (@p187 @p224)) % 0.37/0.61 (step @p256 :rule modus_ponens :premises (@p255 @p254)) % 0.37/0.61 (step @p257 :rule arith_sum_ub :premises (@p256 @p253 @p250 @p54)) % 0.37/0.61 (step @p258 false :rule eq_resolve :premises (@p257 @p246)) % 0.37/0.61 (step-pop @p303 :rule scope :premises (@p258)) % 0.37/0.61 (step @p259 :rule process_scope :premises (@p303) :args (false)) % 0.37/0.61 (step @p261 :rule eq_resolve :premises (@p259 @p230)) % 0.37/0.61 (step @p262 :rule eq_resolve :premises (@p261 @p229)) % 0.37/0.61 (step @p263 false :rule contra :premises (@p224 @p262)) % 0.37/0.61 (step-pop @p304 :rule scope :premises (@p263)) % 0.37/0.61 (step-pop @p305 :rule scope :premises (@p304)) % 0.37/0.61 (step-pop @p306 :rule scope :premises (@p305)) % 0.37/0.61 (step-pop @p307 :rule scope :premises (@p306)) % 0.37/0.61 (step @p264 :rule process_scope :premises (@p307) :args (false)) % 0.37/0.61 (assume-push @p308 @t26) % 0.37/0.61 (assume-push @p309 @t24) % 0.37/0.61 (assume-push @p310 @t106) % 0.37/0.61 (assume-push @p311 @t91) % 0.37/0.61 (assume-push @p312 @t98) % 0.37/0.61 (step @p248 :rule symm :premises (@p53)) % 0.37/0.61 (step @p274 :rule trans :premises (@p248 @p142)) % 0.37/0.61 (step @p275 :rule and_intro :premises (@p54 @p274 @p311 @p224)) % 0.37/0.61 (step-pop @p313 :rule scope :premises (@p275)) % 0.37/0.61 (step-pop @p314 :rule scope :premises (@p313)) % 0.37/0.61 (step-pop @p315 :rule scope :premises (@p314)) % 0.37/0.61 (step-pop @p316 :rule scope :premises (@p315)) % 0.37/0.61 (step-pop @p317 :rule scope :premises (@p316)) % 0.37/0.61 (step @p276 :rule process_scope :premises (@p317) :args (@t107)) % 0.37/0.61 (step @p282 :rule implies_elim :premises (@p276)) % 0.37/0.61 (step @p283 :rule resolution :premises (@p282 @p264) :args (true @t107)) % 0.37/0.61 (step @p284 :rule not_and :premises (@p283)) % 0.37/0.61 (step @p285 false :rule chain_m_resolution :premises (@p284 @p224 @p212 @p142 @p54 @p53) :args (false (@list false false false false false) (@list @t98 @t91 @t106 @t24 @t26))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------