%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO523_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:13:03 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO523_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 : Wed Jun 3 00:17:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-const tptp.f (-> Int Int)) % 0.37/0.58 (define @t1 () (tptp.f 5)) % 0.37/0.58 (define @t2 () (or (<= @t1 6) (<= 9 @t1))) % 0.37/0.58 (define @t3 () (tptp.f 4)) % 0.37/0.58 (define @t4 () (tptp.f 3)) % 0.37/0.58 (define @t5 () (@var "Y" Int)) % 0.37/0.58 (define @t6 () (@var "X" Int)) % 0.37/0.58 (define @t7 () (= @t6 @t5)) % 0.37/0.58 (define @t8 () (= (tptp.f @t6) (tptp.f @t5))) % 0.37/0.58 (define @t9 () (@list @t6 @t5)) % 0.37/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.37/0.58 (define @t11 () (and @t10 (< 6 @t4) (< @t4 9) (< 6 @t3) (< @t3 9))) % 0.37/0.58 (define @t12 () (=> @t11 @t2)) % 0.37/0.58 (define @t13 () (not @t12)) % 0.37/0.58 (define @t14 () (+ 6 1)) % 0.37/0.58 (define @t15 () (>= @t1 @t14)) % 0.37/0.58 (define @t16 () (>= @t3 7)) % 0.37/0.58 (define @t17 () (+ @t3 1)) % 0.37/0.58 (define @t18 () (>= 6 @t3)) % 0.37/0.58 (define @t19 () (>= @t4 7)) % 0.37/0.58 (define @t20 () (+ @t4 1)) % 0.37/0.58 (define @t21 () (>= 6 @t4)) % 0.37/0.58 (define @t22 () (* -1 @t4)) % 0.37/0.58 (define @t23 () (+ @t3 @t22)) % 0.37/0.58 (define @t24 () (>= @t23 0)) % 0.37/0.58 (define @t25 () (>= @t4 9)) % 0.37/0.58 (define @t26 () (* -1 @t3)) % 0.37/0.58 (define @t27 () (+ @t1 @t26)) % 0.37/0.58 (define @t28 () (>= @t27 0)) % 0.37/0.58 (define @t29 () (>= @t1 7)) % 0.37/0.58 (define @t30 () (not @t29)) % 0.37/0.58 (define @t31 () (not @t24)) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (not @t25)) % 0.37/0.58 (define @t34 () (not @t33)) % 0.37/0.58 (define @t35 () (not @t28)) % 0.37/0.58 (define @t36 () (not @t35)) % 0.37/0.58 (define @t37 () (not true)) % 0.37/0.58 (define @t38 () (>= 0 0)) % 0.37/0.58 (define @t39 () (* -1 7)) % 0.37/0.58 (define @t40 () (+ 0 @t39 -1 8)) % 0.37/0.58 (define @t41 () (* -1 @t1)) % 0.37/0.58 (define @t42 () (+ @t41 @t26 @t22 @t4 @t3 @t1)) % 0.37/0.58 (define @t43 () (+ @t23 @t41 @t27 @t4)) % 0.37/0.58 (define @t44 () (>= @t43 @t40)) % 0.37/0.58 (define @t45 () (< -1 0)) % 0.37/0.58 (define @t46 () (= @t3 @t4)) % 0.37/0.58 (define @t47 () (not @t46)) % 0.37/0.58 (define @t48 () (= 3 4)) % 0.37/0.58 (define @t49 () (- @t3 @t4)) % 0.37/0.58 (define @t50 () (= @t4 @t3)) % 0.37/0.58 (define @t51 () (not @t50)) % 0.37/0.58 (define @t52 () (or @t51 @t48)) % 0.37/0.58 (define @t53 () (forall @t9 (or (not @t8) @t7))) % 0.37/0.58 (define @t54 () (@list false)) % 0.37/0.58 (define @t55 () (@list @t53)) % 0.37/0.58 (define @t56 () (>= @t23 1)) % 0.37/0.58 (define @t57 () (= @t23 0)) % 0.37/0.58 (define @t58 () (and @t47 @t24)) % 0.37/0.58 (define @t59 () (+ @t1 @t22)) % 0.37/0.58 (define @t60 () (>= @t59 0)) % 0.37/0.58 (define @t61 () (not @t56)) % 0.37/0.58 (define @t62 () (>= @t3 9)) % 0.37/0.58 (define @t63 () (not @t60)) % 0.37/0.58 (define @t64 () (not @t63)) % 0.37/0.58 (define @t65 () (not @t62)) % 0.37/0.58 (define @t66 () (not @t65)) % 0.37/0.58 (define @t67 () (not (>= 8 @t3))) % 0.37/0.58 (define @t68 () (+ 8 1)) % 0.37/0.58 (define @t69 () (>= @t3 @t68)) % 0.37/0.58 (define @t70 () (not @t69)) % 0.37/0.58 (define @t71 () (<= @t3 8)) % 0.37/0.58 (define @t72 () (not @t71)) % 0.37/0.58 (define @t73 () (* -1 1)) % 0.37/0.58 (define @t74 () (+ 8 0 @t73 @t39)) % 0.37/0.58 (define @t75 () (* 0 @t3)) % 0.37/0.58 (define @t76 () (= @t75 0)) % 0.37/0.58 (define @t77 () (* 0 @t4)) % 0.37/0.58 (define @t78 () (= @t77 0)) % 0.37/0.58 (define @t79 () (+ @t41 @t77 @t75 @t1)) % 0.37/0.58 (define @t80 () (* -1 @t23)) % 0.37/0.58 (define @t81 () (+ @t3 @t59 @t80 @t41)) % 0.37/0.58 (define @t82 () (>= @t81 @t74)) % 0.37/0.58 (define @t83 () (and @t29 @t56 @t63 @t65)) % 0.37/0.58 (define @t84 () (= @t1 @t4)) % 0.37/0.58 (define @t85 () (not @t84)) % 0.37/0.58 (define @t86 () (= 3 5)) % 0.37/0.58 (define @t87 () (- @t1 @t4)) % 0.37/0.58 (define @t88 () (= @t4 @t1)) % 0.37/0.58 (define @t89 () (not @t88)) % 0.37/0.58 (define @t90 () (or @t89 @t86)) % 0.37/0.58 (define @t91 () (not @t19)) % 0.37/0.58 (define @t92 () (not @t85)) % 0.37/0.58 (define @t93 () (+ 8 -1 -7 0)) % 0.37/0.58 (define @t94 () (+ 8 @t73 @t39 0)) % 0.37/0.58 (define @t95 () (= (+ @t26 0 @t3 0) 0)) % 0.37/0.58 (define @t96 () (* 0 @t1)) % 0.37/0.58 (define @t97 () (= @t96 0)) % 0.37/0.58 (define @t98 () (+ @t26 @t77 @t3 @t96)) % 0.37/0.58 (define @t99 () (* -1 @t59)) % 0.37/0.58 (define @t100 () (+ @t3 @t99 @t22 @t27)) % 0.37/0.58 (define @t101 () (>= @t100 @t94)) % 0.37/0.58 (define @t102 () (>= @t59 1)) % 0.37/0.58 (define @t103 () (= (* 1 (- @t59 0)) (* 1 @t87))) % 0.37/0.58 (define @t104 () (= @t59 0)) % 0.37/0.58 (define @t105 () (= @t104 @t84)) % 0.37/0.58 (define @t106 () (not @t104)) % 0.37/0.58 (define @t107 () (and @t35 @t19 @t85 @t60 @t65)) % 0.37/0.58 (define @t108 () (= @t1 @t3)) % 0.37/0.58 (define @t109 () (not @t108)) % 0.37/0.58 (define @t110 () (= 4 5)) % 0.37/0.58 (define @t111 () (- @t1 @t3)) % 0.37/0.58 (define @t112 () (= @t3 @t1)) % 0.37/0.58 (define @t113 () (not @t112)) % 0.37/0.58 (define @t114 () (or @t113 @t110)) % 0.37/0.58 (define @t115 () (not @t16)) % 0.37/0.58 (define @t116 () (not @t109)) % 0.37/0.58 (define @t117 () (+ 0 @t73 8 @t39)) % 0.37/0.58 (define @t118 () (+ @t75 @t22 @t4 @t96)) % 0.37/0.58 (define @t119 () (* -1 @t27)) % 0.37/0.58 (define @t120 () (+ @t59 @t119 @t4 @t26)) % 0.37/0.58 (define @t121 () (>= @t120 @t117)) % 0.37/0.58 (define @t122 () (>= @t27 1)) % 0.37/0.58 (define @t123 () (= (* 1 (- @t27 0)) (* 1 @t111))) % 0.37/0.58 (define @t124 () (= @t27 0)) % 0.37/0.58 (define @t125 () (= @t124 @t108)) % 0.37/0.58 (define @t126 () (not @t124)) % 0.37/0.58 (define @t127 () (@list true false true false)) % 0.37/0.58 (define @t128 () (and @t85 @t60)) % 0.37/0.58 (define @t129 () (@list true false)) % 0.37/0.58 (define @t130 () (and @t109 @t28)) % 0.37/0.58 (define @t131 () (not @t122)) % 0.37/0.58 (define @t132 () (>= @t1 9)) % 0.37/0.58 (define @t133 () (not @t132)) % 0.37/0.58 (define @t134 () (not @t133)) % 0.37/0.58 (define @t135 () (< @t1 9)) % 0.37/0.58 (define @t136 () (+ 9 @t73 @t39 @t73)) % 0.37/0.58 (define @t137 () (+ @t26 @t4)) % 0.37/0.58 (define @t138 () (+ @t41 @t3)) % 0.37/0.58 (define @t139 () (+ @t1 @t119 @t22 @t80)) % 0.37/0.58 (define @t140 () (>= @t139 @t136)) % 0.37/0.58 (define @t141 () (and @t56 @t19 @t122 @t133)) % 0.37/0.58 (define @t142 () (not @t102)) % 0.37/0.58 (define @t143 () (>= @t1 @t68)) % 0.37/0.58 (define @t144 () (<= @t1 8)) % 0.37/0.58 (define @t145 () (+ @t1 @t99 @t26 @t23)) % 0.37/0.58 (define @t146 () (>= @t145 @t94)) % 0.37/0.58 (define @t147 () (and @t31 @t16 @t102 @t133)) % 0.37/0.58 (assume @p1 @t13) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule arith-elim-leq :args (9 @t1)) % 0.37/0.58 (step @p4 :rule evaluate :args (@t14)) % 0.37/0.58 (step @p5 :rule refl :args (@t1)) % 0.37/0.58 (step @p6 :rule cong :premises (@p5 @p4) :args (@t15)) % 0.37/0.58 (step @p7 :rule cong :premises (@p6) :args ((not @t15))) % 0.37/0.58 (step @p8 :rule arith-leq-norm :args (@t1 6)) % 0.37/0.58 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.58 (step @p10 :rule nary_cong :premises (@p9 @p3) :args (@t2)) % 0.37/0.58 (step @p11 :rule arith-elim-lt :args (@t3 9)) % 0.37/0.58 (step @p12 :rule bool-double-not-elim :args (@t16)) % 0.37/0.58 (step @p13 :rule arith_poly_norm :args ((= (* 6 (- 7 @t17)) (* 6 (- 6 @t3))))) % 0.37/0.58 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (>= 7 @t17) @t18))) % 0.37/0.58 (step @p15 :rule arith-geq-tighten :args (@t3 7)) % 0.37/0.58 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.58 (step @p17 :rule symm :premises (@p16)) % 0.37/0.58 (step @p18 :rule cong :premises (@p17) :args ((not @t18))) % 0.37/0.58 (step @p19 :rule trans :premises (@p18 @p12)) % 0.37/0.58 (step @p20 :rule arith-elim-lt :args (6 @t3)) % 0.37/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.58 (step @p22 :rule arith-elim-lt :args (@t4 9)) % 0.37/0.58 (step @p23 :rule bool-double-not-elim :args (@t19)) % 0.37/0.58 (step @p24 :rule arith_poly_norm :args ((= (* 6 (- 7 @t20)) (* 6 (- 6 @t4))))) % 0.37/0.58 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= (>= 7 @t20) @t21))) % 0.37/0.58 (step @p26 :rule arith-geq-tighten :args (@t4 7)) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.58 (step @p28 :rule symm :premises (@p27)) % 0.37/0.58 (step @p29 :rule cong :premises (@p28) :args ((not @t21))) % 0.37/0.58 (step @p30 :rule trans :premises (@p29 @p23)) % 0.37/0.58 (step @p31 :rule arith-elim-lt :args (6 @t4)) % 0.37/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.58 (step @p33 :rule bool-impl-elim :args (@t8 @t7)) % 0.37/0.58 (step @p34 :rule cong :premises (@p33) :args (@t10)) % 0.37/0.58 (step @p35 :rule nary_cong :premises (@p34 @p32 @p22 @p21 @p11) :args (@t11)) % 0.37/0.58 (step @p36 :rule cong :premises (@p35 @p10) :args (@t12)) % 0.37/0.58 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.37/0.58 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.37/0.58 (step @p39 :rule not_implies_elim1 :premises (@p38)) % 0.37/0.58 (step @p40 :rule and_elim :premises (@p39) :args (3)) % 0.37/0.58 (step @p41 :rule not_implies_elim2 :premises (@p38)) % 0.37/0.58 (step @p42 :rule not_or_elim :premises (@p41) :args (1)) % 0.37/0.58 (step @p43 :rule and_elim :premises (@p39) :args (2)) % 0.37/0.58 (step @p44 :rule not_or_elim :premises (@p41) :args (0)) % 0.37/0.58 (step @p45 :rule not_not_elim :premises (@p44)) % 0.37/0.58 (step @p46 :rule bool-double-not-elim :args (@t24)) % 0.37/0.58 (step @p47 :rule bool-double-not-elim :args (@t25)) % 0.37/0.58 (step @p48 :rule bool-double-not-elim :args (@t28)) % 0.37/0.58 (step @p49 :rule refl :args (@t30)) % 0.37/0.58 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args ((or @t30 @t36 @t34 @t32))) % 0.37/0.58 (assume-push @p546 @t29) % 0.37/0.58 (assume-push @p547 @t35) % 0.37/0.58 (assume-push @p548 @t33) % 0.37/0.58 (assume-push @p549 @t31) % 0.37/0.58 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.58 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.58 (step @p57 :rule evaluate :args ((+ 0 -7 -1 8))) % 0.37/0.58 (step @p58 :rule refl :args (8)) % 0.37/0.58 (step @p59 :rule refl :args (-1)) % 0.37/0.58 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.58 (step @p61 :rule refl :args (0)) % 0.37/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58) :args (@t40)) % 0.37/0.58 (step @p63 :rule trans :premises (@p62 @p57)) % 0.37/0.58 (step @p64 :rule arith_poly_norm :args ((= @t42 0))) % 0.37/0.58 (step @p65 :rule arith_poly_norm :args ((= @t43 @t42))) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66 @p63) :args (@t44)) % 0.37/0.58 (step @p68 :rule trans :premises (@p67 @p56)) % 0.37/0.58 (step @p69 :rule cong :premises (@p68) :args ((not @t44))) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p55)) % 0.37/0.58 (step @p71 :rule arith-elim-lt :args (@t43 @t40)) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.58 (step @p73 :rule symm :premises (@p22)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p43 @p73)) % 0.37/0.58 (step @p75 :rule int_tight_ub :premises (@p74)) % 0.37/0.58 (step @p76 :rule arith-elim-lt :args (@t27 0)) % 0.37/0.58 (step @p77 :rule symm :premises (@p76)) % 0.37/0.58 (step @p78 :rule eq_resolve :premises (@p547 @p77)) % 0.37/0.58 (step @p79 :rule int_tight_ub :premises (@p78)) % 0.37/0.58 (step @p80 :rule arith_mult_neg :args (-1 @t29)) % 0.37/0.58 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.58 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.58 (step @p83 :rule and_intro :premises (@p82 @p45)) % 0.37/0.58 (step @p84 :rule modus_ponens :premises (@p83 @p80)) % 0.37/0.58 (step @p85 :rule arith-elim-lt :args (@t23 0)) % 0.37/0.58 (step @p86 :rule symm :premises (@p85)) % 0.37/0.58 (step @p87 :rule eq_resolve :premises (@p549 @p86)) % 0.37/0.58 (step @p88 :rule arith_sum_ub :premises (@p87 @p84 @p79 @p75)) % 0.37/0.58 (step @p89 false :rule eq_resolve :premises (@p88 @p72)) % 0.37/0.58 (step-pop @p550 :rule scope :premises (@p89)) % 0.37/0.58 (step-pop @p551 :rule scope :premises (@p550)) % 0.37/0.58 (step-pop @p552 :rule scope :premises (@p551)) % 0.37/0.58 (step-pop @p553 :rule scope :premises (@p552)) % 0.37/0.58 (step @p90 :rule process_scope :premises (@p553) :args (false)) % 0.37/0.58 (step @p95 :rule not_and :premises (@p90)) % 0.37/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p50)) % 0.37/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t25 @t30 @t24 @t28))) % 0.37/0.58 (step @p98 :rule and_elim :premises (@p39) :args (0)) % 0.37/0.58 (step @p99 :rule aci_norm :args ((= (or @t47 false) @t47))) % 0.37/0.58 (step @p100 :rule evaluate :args (@t48)) % 0.37/0.58 (step @p101 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t3)) (* -1 @t49)))) % 0.37/0.58 (step @p102 :rule arith_poly_norm_rel :premises (@p101) :args ((= @t50 @t46))) % 0.37/0.58 (step @p103 :rule cong :premises (@p102) :args (@t51)) % 0.37/0.58 (step @p104 :rule nary_cong :premises (@p103 @p100) :args (@t52)) % 0.37/0.58 (step @p105 :rule trans :premises (@p104 @p99)) % 0.37/0.58 (step @p106 :rule refl :args (@t53)) % 0.37/0.58 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t53 @t52))) % 0.37/0.58 (assume-push @p554 @t53) % 0.37/0.58 (step @p109 :rule instantiate :premises (@p98) :args ((@list 3 4))) % 0.37/0.58 (step-pop @p555 :rule scope :premises (@p109)) % 0.37/0.58 (step @p110 :rule process_scope :premises (@p555) :args (@t52)) % 0.37/0.58 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.37/0.58 (step @p113 :rule implies_elim :premises (@p112)) % 0.37/0.58 (step @p114 :rule chain_m_resolution :premises (@p113 @p98) :args (@t47 @t54 @t55)) % 0.37/0.58 (step @p115 :rule refl :args (@t56)) % 0.37/0.58 (step @p116 :rule refl :args (@t31)) % 0.37/0.58 (step @p117 :rule bool-double-not-elim :args (@t46)) % 0.37/0.58 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args ((or (not @t47) @t31 @t56))) % 0.37/0.58 (assume-push @p556 @t47) % 0.37/0.58 (assume-push @p557 @t24) % 0.37/0.58 (assume-push @p558 @t47) % 0.37/0.58 (assume-push @p559 @t24) % 0.37/0.58 (step @p123 :rule arith_poly_norm :args ((= (* 1 (- @t23 0)) (* 1 @t49)))) % 0.37/0.58 (step @p124 :rule arith_poly_norm_rel :premises (@p123) :args ((= @t57 @t46))) % 0.37/0.58 (step @p125 :rule cong :premises (@p124) :args ((not @t57))) % 0.37/0.58 (step @p126 :rule symm :premises (@p125)) % 0.37/0.58 (step @p127 :rule eq_resolve :premises (@p114 @p126)) % 0.37/0.58 (step @p128 :rule arith_trichotomy :premises (@p127 @p557)) % 0.37/0.58 (step @p129 :rule int_tight_lb :premises (@p128)) % 0.37/0.58 (step-pop @p560 :rule scope :premises (@p129)) % 0.37/0.58 (step-pop @p561 :rule scope :premises (@p560)) % 0.37/0.58 (step @p130 :rule process_scope :premises (@p561) :args (@t56)) % 0.37/0.58 (step @p133 :rule and_intro :premises (@p114 @p557)) % 0.37/0.58 (step @p134 :rule modus_ponens :premises (@p133 @p130)) % 0.37/0.58 (step-pop @p562 :rule scope :premises (@p134)) % 0.37/0.58 (step-pop @p563 :rule scope :premises (@p562)) % 0.37/0.58 (step @p135 :rule process_scope :premises (@p563) :args (@t56)) % 0.37/0.58 (step @p138 :rule implies_elim :premises (@p135)) % 0.37/0.58 (step @p139 :rule cnf_and_neg :args (@t58)) % 0.37/0.58 (step @p140 :rule resolution :premises (@p139 @p138) :args (true @t58)) % 0.37/0.58 (step @p141 :rule eq_resolve :premises (@p140 @p118)) % 0.37/0.58 (step @p142 :rule reordering :premises (@p141) :args ((or @t46 @t56 @t31))) % 0.37/0.58 (step @p143 :rule and_elim :premises (@p39) :args (4)) % 0.37/0.58 (step @p144 :rule bool-double-not-elim :args (@t60)) % 0.37/0.58 (step @p145 :rule refl :args (@t61)) % 0.37/0.58 (step @p146 :rule bool-double-not-elim :args (@t62)) % 0.37/0.58 (step @p147 :rule nary_cong :premises (@p146 @p49 @p145 @p144) :args ((or @t66 @t30 @t61 @t64))) % 0.37/0.58 (assume-push @p564 @t29) % 0.37/0.58 (assume-push @p565 @t56) % 0.37/0.58 (assume-push @p566 @t63) % 0.37/0.58 (assume-push @p567 @t65) % 0.37/0.58 (step @p152 :rule arith-elim-leq :args (@t3 8)) % 0.37/0.58 (step @p153 :rule symm :premises (@p152)) % 0.37/0.58 (step @p154 :rule cong :premises (@p153) :args (@t67)) % 0.37/0.58 (step @p155 :rule arith-elim-gt :args (@t3 8)) % 0.37/0.58 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.58 (step @p157 :rule evaluate :args (@t68)) % 0.37/0.58 (step @p158 :rule refl :args (@t3)) % 0.37/0.58 (step @p159 :rule cong :premises (@p158 @p157) :args (@t69)) % 0.37/0.58 (step @p160 :rule cong :premises (@p159) :args (@t70)) % 0.37/0.58 (step @p161 :rule arith-leq-norm :args (@t3 8)) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.58 (step @p163 :rule cong :premises (@p162) :args (@t72)) % 0.37/0.58 (step @p164 :rule trans :premises (@p163 @p146)) % 0.37/0.58 (step @p165 :rule trans :premises (@p156 @p164)) % 0.37/0.58 (step @p166 :rule symm :premises (@p165)) % 0.37/0.58 (step @p167 :rule trans :premises (@p164 @p166)) % 0.37/0.58 (assume-push @p568 @t71) % 0.37/0.58 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.58 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.58 (step @p169 :rule evaluate :args ((+ 8 0 -1 -7))) % 0.37/0.58 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.58 (step @p170 :rule evaluate :args (@t73)) % 0.37/0.58 (step @p61 :rule refl :args (0)) % 0.37/0.58 (step @p58 :rule refl :args (8)) % 0.37/0.58 (step @p171 :rule nary_cong :premises (@p58 @p61 @p170 @p60) :args (@t74)) % 0.37/0.58 (step @p172 :rule trans :premises (@p171 @p169)) % 0.37/0.58 (step @p173 :rule arith_poly_norm :args ((= (+ @t41 0 0 @t1) 0))) % 0.37/0.58 (step @p174 :rule refl :args (@t1)) % 0.37/0.58 (step @p175 :rule arith_poly_norm :args (@t76)) % 0.37/0.58 (step @p176 :rule arith_poly_norm :args (@t78)) % 0.37/0.58 (step @p177 :rule refl :args (@t41)) % 0.37/0.58 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175 @p174) :args (@t79)) % 0.37/0.58 (step @p179 :rule trans :premises (@p178 @p173)) % 0.37/0.58 (step @p180 :rule arith_poly_norm :args ((= @t81 @t79))) % 0.37/0.58 (step @p181 :rule trans :premises (@p180 @p179)) % 0.37/0.58 (step @p182 :rule cong :premises (@p181 @p172) :args (@t82)) % 0.37/0.58 (step @p183 :rule trans :premises (@p182 @p56)) % 0.37/0.58 (step @p184 :rule cong :premises (@p183) :args ((not @t82))) % 0.37/0.58 (step @p185 :rule trans :premises (@p184 @p55)) % 0.37/0.58 (step @p186 :rule arith-elim-lt :args (@t81 @t74)) % 0.37/0.58 (step @p187 :rule trans :premises (@p186 @p185)) % 0.37/0.58 (step @p80 :rule arith_mult_neg :args (-1 @t29)) % 0.37/0.58 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.58 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.58 (step @p83 :rule and_intro :premises (@p82 @p45)) % 0.37/0.58 (step @p84 :rule modus_ponens :premises (@p83 @p80)) % 0.37/0.58 (step @p188 :rule arith_mult_neg :args (-1 @t56)) % 0.37/0.58 (step @p189 :rule and_intro :premises (@p82 @p565)) % 0.37/0.58 (step @p190 :rule modus_ponens :premises (@p189 @p188)) % 0.37/0.58 (step @p191 :rule arith-elim-lt :args (@t59 0)) % 0.37/0.58 (step @p192 :rule symm :premises (@p191)) % 0.37/0.58 (step @p193 :rule eq_resolve :premises (@p566 @p192)) % 0.37/0.58 (step @p194 :rule symm :premises (@p11)) % 0.37/0.58 (step @p195 :rule eq_resolve :premises (@p143 @p194)) % 0.37/0.58 (step @p196 :rule int_tight_ub :premises (@p195)) % 0.37/0.58 (step @p197 :rule arith_sum_ub :premises (@p196 @p193 @p190 @p84)) % 0.37/0.58 (step @p198 false :rule eq_resolve :premises (@p197 @p187)) % 0.37/0.58 (step-pop @p569 :rule scope :premises (@p198)) % 0.37/0.58 (step @p199 :rule process_scope :premises (@p569) :args (false)) % 0.37/0.58 (step @p201 :rule eq_resolve :premises (@p199 @p167)) % 0.37/0.58 (step @p202 :rule eq_resolve :premises (@p201 @p156)) % 0.37/0.58 (step @p194 :rule symm :premises (@p11)) % 0.37/0.58 (step @p195 :rule eq_resolve :premises (@p143 @p194)) % 0.37/0.58 (step @p203 :rule int_tight_ub :premises (@p195)) % 0.37/0.58 (step @p204 false :rule contra :premises (@p203 @p202)) % 0.37/0.58 (step-pop @p570 :rule scope :premises (@p204)) % 0.37/0.58 (step-pop @p571 :rule scope :premises (@p570)) % 0.37/0.58 (step-pop @p572 :rule scope :premises (@p571)) % 0.37/0.58 (step-pop @p573 :rule scope :premises (@p572)) % 0.37/0.58 (step @p205 :rule process_scope :premises (@p573) :args (false)) % 0.37/0.58 (assume-push @p574 @t65) % 0.37/0.58 (assume-push @p575 @t29) % 0.37/0.58 (assume-push @p576 @t56) % 0.37/0.58 (assume-push @p577 @t63) % 0.37/0.58 (step @p214 :rule and_intro :premises (@p45 @p576 @p577 @p143)) % 0.37/0.58 (step-pop @p578 :rule scope :premises (@p214)) % 0.37/0.58 (step-pop @p579 :rule scope :premises (@p578)) % 0.37/0.58 (step-pop @p580 :rule scope :premises (@p579)) % 0.37/0.58 (step-pop @p581 :rule scope :premises (@p580)) % 0.37/0.58 (step @p215 :rule process_scope :premises (@p581) :args (@t83)) % 0.37/0.58 (step @p220 :rule implies_elim :premises (@p215)) % 0.37/0.58 (step @p221 :rule resolution :premises (@p220 @p205) :args (true @t83)) % 0.37/0.58 (step @p222 :rule not_and :premises (@p221)) % 0.37/0.58 (step @p223 :rule eq_resolve :premises (@p222 @p147)) % 0.37/0.58 (step @p224 :rule and_elim :premises (@p39) :args (1)) % 0.37/0.58 (step @p225 :rule aci_norm :args ((= (or @t85 false) @t85))) % 0.37/0.58 (step @p226 :rule evaluate :args (@t86)) % 0.37/0.58 (step @p227 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 @t87)))) % 0.37/0.58 (step @p228 :rule arith_poly_norm_rel :premises (@p227) :args ((= @t88 @t84))) % 0.37/0.58 (step @p229 :rule cong :premises (@p228) :args (@t89)) % 0.37/0.58 (step @p230 :rule nary_cong :premises (@p229 @p226) :args (@t90)) % 0.37/0.58 (step @p231 :rule trans :premises (@p230 @p225)) % 0.37/0.58 (step @p232 :rule cong :premises (@p106 @p231) :args ((=> @t53 @t90))) % 0.37/0.58 (assume-push @p582 @t53) % 0.37/0.58 (step @p234 :rule instantiate :premises (@p98) :args ((@list 3 5))) % 0.37/0.58 (step-pop @p583 :rule scope :premises (@p234)) % 0.37/0.58 (step @p235 :rule process_scope :premises (@p583) :args (@t90)) % 0.37/0.58 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 0.37/0.58 (step @p238 :rule implies_elim :premises (@p237)) % 0.37/0.58 (step @p239 :rule chain_m_resolution :premises (@p238 @p98) :args (@t85 @t54 @t55)) % 0.37/0.58 (step @p240 :rule refl :args (@t63)) % 0.37/0.58 (step @p241 :rule bool-double-not-elim :args (@t84)) % 0.37/0.58 (step @p242 :rule refl :args (@t91)) % 0.37/0.58 (step @p243 :rule nary_cong :premises (@p242 @p146 @p241 @p240 @p48) :args ((or @t91 @t66 @t92 @t63 @t36))) % 0.37/0.58 (assume-push @p584 @t35) % 0.37/0.58 (assume-push @p585 @t19) % 0.37/0.58 (assume-push @p586 @t85) % 0.37/0.58 (assume-push @p587 @t60) % 0.37/0.58 (assume-push @p588 @t65) % 0.37/0.58 (step @p152 :rule arith-elim-leq :args (@t3 8)) % 0.37/0.58 (step @p153 :rule symm :premises (@p152)) % 0.37/0.58 (step @p154 :rule cong :premises (@p153) :args (@t67)) % 0.37/0.58 (step @p155 :rule arith-elim-gt :args (@t3 8)) % 0.37/0.58 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.58 (step @p157 :rule evaluate :args (@t68)) % 0.37/0.58 (step @p158 :rule refl :args (@t3)) % 0.37/0.58 (step @p159 :rule cong :premises (@p158 @p157) :args (@t69)) % 0.37/0.58 (step @p160 :rule cong :premises (@p159) :args (@t70)) % 0.37/0.58 (step @p161 :rule arith-leq-norm :args (@t3 8)) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.58 (step @p163 :rule cong :premises (@p162) :args (@t72)) % 0.37/0.58 (step @p164 :rule trans :premises (@p163 @p146)) % 0.37/0.58 (step @p165 :rule trans :premises (@p156 @p164)) % 0.37/0.58 (step @p166 :rule symm :premises (@p165)) % 0.37/0.58 (step @p167 :rule trans :premises (@p164 @p166)) % 0.37/0.58 (assume-push @p589 @t71) % 0.37/0.58 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.58 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.58 (step @p250 :rule evaluate :args (@t93)) % 0.37/0.58 (step @p61 :rule refl :args (0)) % 0.37/0.58 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.58 (step @p170 :rule evaluate :args (@t73)) % 0.37/0.58 (step @p58 :rule refl :args (8)) % 0.37/0.58 (step @p251 :rule nary_cong :premises (@p58 @p170 @p60 @p61) :args (@t94)) % 0.37/0.58 (step @p252 :rule trans :premises (@p251 @p250)) % 0.37/0.58 (step @p253 :rule arith_poly_norm :args (@t95)) % 0.37/0.58 (step @p254 :rule arith_poly_norm :args (@t97)) % 0.37/0.58 (step @p255 :rule refl :args (@t3)) % 0.37/0.58 (step @p176 :rule arith_poly_norm :args (@t78)) % 0.37/0.58 (step @p256 :rule refl :args (@t26)) % 0.37/0.58 (step @p257 :rule nary_cong :premises (@p256 @p176 @p255 @p254) :args (@t98)) % 0.37/0.58 (step @p258 :rule trans :premises (@p257 @p253)) % 0.37/0.58 (step @p259 :rule arith_poly_norm :args ((= @t100 @t98))) % 0.37/0.58 (step @p260 :rule trans :premises (@p259 @p258)) % 0.37/0.58 (step @p261 :rule cong :premises (@p260 @p252) :args (@t101)) % 0.37/0.58 (step @p262 :rule trans :premises (@p261 @p56)) % 0.37/0.58 (step @p263 :rule cong :premises (@p262) :args ((not @t101))) % 0.37/0.58 (step @p264 :rule trans :premises (@p263 @p55)) % 0.37/0.58 (step @p265 :rule arith-elim-lt :args (@t100 @t94)) % 0.37/0.58 (step @p266 :rule trans :premises (@p265 @p264)) % 0.37/0.58 (step @p76 :rule arith-elim-lt :args (@t27 0)) % 0.37/0.58 (step @p77 :rule symm :premises (@p76)) % 0.37/0.58 (step @p267 :rule eq_resolve :premises (@p584 @p77)) % 0.37/0.58 (step @p268 :rule arith_mult_neg :args (-1 @t19)) % 0.37/0.58 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.58 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.58 (step @p269 :rule and_intro :premises (@p82 @p224)) % 0.37/0.58 (step @p270 :rule modus_ponens :premises (@p269 @p268)) % 0.37/0.58 (step @p271 :rule arith_mult_neg :args (-1 @t102)) % 0.37/0.58 (step @p272 :rule arith_poly_norm :args (@t103)) % 0.37/0.58 (step @p273 :rule arith_poly_norm_rel :premises (@p272) :args (@t105)) % 0.37/0.58 (step @p274 :rule cong :premises (@p273) :args (@t106)) % 0.37/0.58 (step @p275 :rule symm :premises (@p274)) % 0.37/0.58 (step @p276 :rule eq_resolve :premises (@p239 @p275)) % 0.37/0.58 (step @p277 :rule arith_trichotomy :premises (@p276 @p587)) % 0.37/0.58 (step @p278 :rule int_tight_lb :premises (@p277)) % 0.37/0.58 (step @p279 :rule and_intro :premises (@p82 @p278)) % 0.37/0.58 (step @p280 :rule modus_ponens :premises (@p279 @p271)) % 0.37/0.58 (step @p194 :rule symm :premises (@p11)) % 0.37/0.58 (step @p195 :rule eq_resolve :premises (@p143 @p194)) % 0.37/0.58 (step @p203 :rule int_tight_ub :premises (@p195)) % 0.37/0.58 (step @p281 :rule arith_sum_ub :premises (@p203 @p280 @p270 @p267)) % 0.37/0.58 (step @p282 false :rule eq_resolve :premises (@p281 @p266)) % 0.37/0.58 (step-pop @p590 :rule scope :premises (@p282)) % 0.37/0.58 (step @p283 :rule process_scope :premises (@p590) :args (false)) % 0.37/0.58 (step @p285 :rule eq_resolve :premises (@p283 @p167)) % 0.37/0.58 (step @p286 :rule eq_resolve :premises (@p285 @p156)) % 0.37/0.58 (step @p194 :rule symm :premises (@p11)) % 0.37/0.58 (step @p195 :rule eq_resolve :premises (@p143 @p194)) % 0.37/0.58 (step @p203 :rule int_tight_ub :premises (@p195)) % 0.37/0.58 (step @p287 false :rule contra :premises (@p203 @p286)) % 0.37/0.58 (step-pop @p591 :rule scope :premises (@p287)) % 0.37/0.58 (step-pop @p592 :rule scope :premises (@p591)) % 0.37/0.58 (step-pop @p593 :rule scope :premises (@p592)) % 0.37/0.58 (step-pop @p594 :rule scope :premises (@p593)) % 0.37/0.58 (step-pop @p595 :rule scope :premises (@p594)) % 0.37/0.58 (step @p288 :rule process_scope :premises (@p595) :args (false)) % 0.37/0.58 (assume-push @p596 @t19) % 0.37/0.58 (assume-push @p597 @t65) % 0.37/0.58 (assume-push @p598 @t85) % 0.37/0.58 (assume-push @p599 @t60) % 0.37/0.58 (assume-push @p600 @t35) % 0.37/0.58 (step @p299 :rule and_intro :premises (@p600 @p224 @p239 @p599 @p143)) % 0.37/0.58 (step-pop @p601 :rule scope :premises (@p299)) % 0.37/0.58 (step-pop @p602 :rule scope :premises (@p601)) % 0.37/0.58 (step-pop @p603 :rule scope :premises (@p602)) % 0.37/0.58 (step-pop @p604 :rule scope :premises (@p603)) % 0.37/0.58 (step-pop @p605 :rule scope :premises (@p604)) % 0.37/0.58 (step @p300 :rule process_scope :premises (@p605) :args (@t107)) % 0.37/0.58 (step @p306 :rule implies_elim :premises (@p300)) % 0.37/0.58 (step @p307 :rule resolution :premises (@p306 @p288) :args (true @t107)) % 0.37/0.58 (step @p308 :rule not_and :premises (@p307)) % 0.37/0.58 (step @p309 :rule eq_resolve :premises (@p308 @p243)) % 0.37/0.58 (step @p310 :rule chain_m_resolution :premises (@p309 @p239 @p143 @p224 @p223 @p45 @p143 @p142 @p114 @p97 @p45 @p43) :args (@t28 (@list true true false false false true false true false false true) (@list @t84 @t62 @t19 @t60 @t29 @t62 @t56 @t46 @t24 @t29 @t25))) % 0.37/0.58 (step @p311 :rule aci_norm :args ((= (or @t109 false) @t109))) % 0.37/0.58 (step @p312 :rule evaluate :args (@t110)) % 0.37/0.58 (step @p313 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t1)) (* -1 @t111)))) % 0.37/0.58 (step @p314 :rule arith_poly_norm_rel :premises (@p313) :args ((= @t112 @t108))) % 0.37/0.58 (step @p315 :rule cong :premises (@p314) :args (@t113)) % 0.37/0.58 (step @p316 :rule nary_cong :premises (@p315 @p312) :args (@t114)) % 0.37/0.58 (step @p317 :rule trans :premises (@p316 @p311)) % 0.37/0.58 (step @p318 :rule cong :premises (@p106 @p317) :args ((=> @t53 @t114))) % 0.37/0.58 (assume-push @p606 @t53) % 0.37/0.58 (step @p320 :rule instantiate :premises (@p98) :args ((@list 4 5))) % 0.37/0.58 (step-pop @p607 :rule scope :premises (@p320)) % 0.37/0.58 (step @p321 :rule process_scope :premises (@p607) :args (@t114)) % 0.37/0.58 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 0.37/0.58 (step @p324 :rule implies_elim :premises (@p323)) % 0.37/0.58 (step @p325 :rule chain_m_resolution :premises (@p324 @p98) :args (@t109 @t54 @t55)) % 0.37/0.58 (step @p326 :rule refl :args (@t115)) % 0.37/0.58 (step @p327 :rule refl :args (@t35)) % 0.37/0.58 (step @p328 :rule bool-double-not-elim :args (@t108)) % 0.37/0.58 (step @p329 :rule nary_cong :premises (@p328 @p327 @p47 @p326 @p144) :args ((or @t116 @t35 @t34 @t115 @t64))) % 0.37/0.58 (assume-push @p608 @t109) % 0.37/0.58 (assume-push @p609 @t28) % 0.37/0.58 (assume-push @p610 @t33) % 0.37/0.58 (assume-push @p611 @t16) % 0.37/0.58 (assume-push @p612 @t63) % 0.37/0.58 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.58 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.58 (step @p335 :rule evaluate :args ((+ 0 -1 8 -7))) % 0.37/0.58 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.58 (step @p58 :rule refl :args (8)) % 0.37/0.58 (step @p170 :rule evaluate :args (@t73)) % 0.37/0.58 (step @p61 :rule refl :args (0)) % 0.37/0.58 (step @p336 :rule nary_cong :premises (@p61 @p170 @p58 @p60) :args (@t117)) % 0.37/0.58 (step @p337 :rule trans :premises (@p336 @p335)) % 0.37/0.58 (step @p338 :rule arith_poly_norm :args ((= (+ 0 @t22 @t4 0) 0))) % 0.37/0.58 (step @p254 :rule arith_poly_norm :args (@t97)) % 0.37/0.58 (step @p339 :rule refl :args (@t4)) % 0.37/0.58 (step @p340 :rule refl :args (@t22)) % 0.37/0.58 (step @p175 :rule arith_poly_norm :args (@t76)) % 0.37/0.58 (step @p341 :rule nary_cong :premises (@p175 @p340 @p339 @p254) :args (@t118)) % 0.37/0.58 (step @p342 :rule trans :premises (@p341 @p338)) % 0.37/0.58 (step @p343 :rule arith_poly_norm :args ((= @t120 @t118))) % 0.37/0.58 (step @p344 :rule trans :premises (@p343 @p342)) % 0.37/0.58 (step @p345 :rule cong :premises (@p344 @p337) :args (@t121)) % 0.37/0.58 (step @p346 :rule trans :premises (@p345 @p56)) % 0.37/0.58 (step @p347 :rule cong :premises (@p346) :args ((not @t121))) % 0.37/0.58 (step @p348 :rule trans :premises (@p347 @p55)) % 0.37/0.58 (step @p349 :rule arith-elim-lt :args (@t120 @t117)) % 0.37/0.58 (step @p350 :rule trans :premises (@p349 @p348)) % 0.37/0.58 (step @p351 :rule arith_mult_neg :args (-1 @t16)) % 0.37/0.58 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.58 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.58 (step @p352 :rule and_intro :premises (@p82 @p40)) % 0.37/0.58 (step @p353 :rule modus_ponens :premises (@p352 @p351)) % 0.37/0.58 (step @p73 :rule symm :premises (@p22)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p43 @p73)) % 0.37/0.58 (step @p75 :rule int_tight_ub :premises (@p74)) % 0.37/0.58 (step @p354 :rule arith_mult_neg :args (-1 @t122)) % 0.37/0.58 (step @p355 :rule arith_poly_norm :args (@t123)) % 0.37/0.58 (step @p356 :rule arith_poly_norm_rel :premises (@p355) :args (@t125)) % 0.37/0.58 (step @p357 :rule cong :premises (@p356) :args (@t126)) % 0.37/0.58 (step @p358 :rule symm :premises (@p357)) % 0.37/0.58 (step @p359 :rule eq_resolve :premises (@p325 @p358)) % 0.37/0.58 (step @p360 :rule arith_trichotomy :premises (@p359 @p609)) % 0.37/0.58 (step @p361 :rule int_tight_lb :premises (@p360)) % 0.37/0.58 (step @p362 :rule and_intro :premises (@p82 @p361)) % 0.37/0.58 (step @p363 :rule modus_ponens :premises (@p362 @p354)) % 0.37/0.58 (step @p191 :rule arith-elim-lt :args (@t59 0)) % 0.37/0.58 (step @p192 :rule symm :premises (@p191)) % 0.37/0.58 (step @p364 :rule eq_resolve :premises (@p612 @p192)) % 0.37/0.58 (step @p365 :rule arith_sum_ub :premises (@p364 @p363 @p75 @p353)) % 0.37/0.58 (step @p366 false :rule eq_resolve :premises (@p365 @p350)) % 0.37/0.58 (step-pop @p613 :rule scope :premises (@p366)) % 0.37/0.58 (step-pop @p614 :rule scope :premises (@p613)) % 0.37/0.58 (step-pop @p615 :rule scope :premises (@p614)) % 0.37/0.58 (step-pop @p616 :rule scope :premises (@p615)) % 0.37/0.58 (step-pop @p617 :rule scope :premises (@p616)) % 0.37/0.58 (step @p367 :rule process_scope :premises (@p617) :args (false)) % 0.37/0.58 (step @p373 :rule not_and :premises (@p367)) % 0.37/0.58 (step @p374 :rule eq_resolve :premises (@p373 @p329)) % 0.37/0.58 (step @p375 :rule reordering :premises (@p374) :args ((or @t25 @t115 @t108 @t60 @t35))) % 0.37/0.58 (step @p376 :rule chain_m_resolution :premises (@p375 @p43 @p40 @p325 @p310) :args (@t60 @t127 (@list @t25 @t16 @t108 @t28))) % 0.37/0.58 (step @p377 :rule refl :args (@t102)) % 0.37/0.58 (step @p378 :rule nary_cong :premises (@p241 @p240 @p377) :args ((or @t92 @t63 @t102))) % 0.37/0.58 (assume-push @p618 @t85) % 0.37/0.58 (assume-push @p619 @t60) % 0.37/0.58 (assume-push @p620 @t85) % 0.37/0.58 (assume-push @p621 @t60) % 0.37/0.58 (step @p272 :rule arith_poly_norm :args (@t103)) % 0.37/0.58 (step @p273 :rule arith_poly_norm_rel :premises (@p272) :args (@t105)) % 0.37/0.58 (step @p274 :rule cong :premises (@p273) :args (@t106)) % 0.37/0.58 (step @p275 :rule symm :premises (@p274)) % 0.37/0.58 (step @p276 :rule eq_resolve :premises (@p239 @p275)) % 0.37/0.58 (step @p383 :rule arith_trichotomy :premises (@p276 @p619)) % 0.37/0.58 (step @p384 :rule int_tight_lb :premises (@p383)) % 0.37/0.58 (step-pop @p622 :rule scope :premises (@p384)) % 0.37/0.58 (step-pop @p623 :rule scope :premises (@p622)) % 0.37/0.58 (step @p385 :rule process_scope :premises (@p623) :args (@t102)) % 0.37/0.58 (step @p388 :rule and_intro :premises (@p239 @p619)) % 0.37/0.58 (step @p389 :rule modus_ponens :premises (@p388 @p385)) % 0.37/0.58 (step-pop @p624 :rule scope :premises (@p389)) % 0.37/0.58 (step-pop @p625 :rule scope :premises (@p624)) % 0.37/0.58 (step @p390 :rule process_scope :premises (@p625) :args (@t102)) % 0.37/0.58 (step @p393 :rule implies_elim :premises (@p390)) % 0.37/0.58 (step @p394 :rule cnf_and_neg :args (@t128)) % 0.37/0.58 (step @p395 :rule resolution :premises (@p394 @p393) :args (true @t128)) % 0.37/0.58 (step @p396 :rule eq_resolve :premises (@p395 @p378)) % 0.37/0.58 (step @p397 :rule reordering :premises (@p396) :args ((or @t84 @t102 @t63))) % 0.37/0.58 (step @p398 :rule chain_m_resolution :premises (@p397 @p239 @p376) :args (@t102 @t129 (@list @t84 @t60))) % 0.37/0.58 (step @p399 :rule refl :args (@t122)) % 0.37/0.58 (step @p400 :rule nary_cong :premises (@p328 @p327 @p399) :args ((or @t116 @t35 @t122))) % 0.37/0.58 (assume-push @p626 @t109) % 0.37/0.58 (assume-push @p627 @t28) % 0.37/0.58 (assume-push @p628 @t109) % 0.37/0.58 (assume-push @p629 @t28) % 0.37/0.58 (step @p355 :rule arith_poly_norm :args (@t123)) % 0.37/0.58 (step @p356 :rule arith_poly_norm_rel :premises (@p355) :args (@t125)) % 0.37/0.58 (step @p357 :rule cong :premises (@p356) :args (@t126)) % 0.37/0.58 (step @p358 :rule symm :premises (@p357)) % 0.37/0.58 (step @p359 :rule eq_resolve :premises (@p325 @p358)) % 0.37/0.58 (step @p405 :rule arith_trichotomy :premises (@p359 @p627)) % 0.37/0.58 (step @p406 :rule int_tight_lb :premises (@p405)) % 0.37/0.58 (step-pop @p630 :rule scope :premises (@p406)) % 0.37/0.58 (step-pop @p631 :rule scope :premises (@p630)) % 0.37/0.58 (step @p407 :rule process_scope :premises (@p631) :args (@t122)) % 0.37/0.58 (step @p410 :rule and_intro :premises (@p325 @p627)) % 0.37/0.58 (step @p411 :rule modus_ponens :premises (@p410 @p407)) % 0.37/0.58 (step-pop @p632 :rule scope :premises (@p411)) % 0.37/0.58 (step-pop @p633 :rule scope :premises (@p632)) % 0.37/0.58 (step @p412 :rule process_scope :premises (@p633) :args (@t122)) % 0.37/0.58 (step @p415 :rule implies_elim :premises (@p412)) % 0.37/0.58 (step @p416 :rule cnf_and_neg :args (@t130)) % 0.37/0.58 (step @p417 :rule resolution :premises (@p416 @p415) :args (true @t130)) % 0.37/0.58 (step @p418 :rule eq_resolve :premises (@p417 @p400)) % 0.37/0.58 (step @p419 :rule reordering :premises (@p418) :args ((or @t108 @t122 @t35))) % 0.37/0.58 (step @p420 :rule chain_m_resolution :premises (@p419 @p325 @p310) :args (@t122 @t129 (@list @t108 @t28))) % 0.37/0.58 (step @p421 :rule refl :args (@t131)) % 0.37/0.58 (step @p422 :rule bool-double-not-elim :args (@t132)) % 0.37/0.58 (step @p423 :rule nary_cong :premises (@p242 @p422 @p145 @p421) :args ((or @t91 @t134 @t61 @t131))) % 0.37/0.58 (assume-push @p634 @t56) % 0.37/0.58 (assume-push @p635 @t19) % 0.37/0.58 (assume-push @p636 @t122) % 0.37/0.58 (assume-push @p637 @t133) % 0.37/0.58 (step @p428 :rule arith-elim-lt :args (@t1 9)) % 0.37/0.58 (step @p429 :rule cong :premises (@p428) :args ((not @t135))) % 0.37/0.58 (step @p430 :rule trans :premises (@p429 @p422)) % 0.37/0.58 (step @p431 :rule symm :premises (@p430)) % 0.37/0.58 (assume-push @p638 @t135) % 0.37/0.58 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.58 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.58 (step @p433 :rule evaluate :args ((+ 9 -1 -7 -1))) % 0.37/0.58 (step @p170 :rule evaluate :args (@t73)) % 0.37/0.58 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.58 (step @p434 :rule refl :args (9)) % 0.37/0.58 (step @p435 :rule nary_cong :premises (@p434 @p170 @p60 @p170) :args (@t136)) % 0.37/0.59 (step @p436 :rule trans :premises (@p435 @p433)) % 0.37/0.59 (step @p437 :rule arith_poly_norm :args ((= (+ @t1 @t138 @t22 @t137) 0))) % 0.37/0.59 (step @p438 :rule arith_poly_norm :args ((= @t80 @t137))) % 0.37/0.59 (step @p340 :rule refl :args (@t22)) % 0.37/0.59 (step @p439 :rule arith_poly_norm :args ((= @t119 @t138))) % 0.37/0.59 (step @p174 :rule refl :args (@t1)) % 0.37/0.59 (step @p440 :rule nary_cong :premises (@p174 @p439 @p340 @p438) :args (@t139)) % 0.37/0.59 (step @p441 :rule trans :premises (@p440 @p437)) % 0.37/0.59 (step @p442 :rule cong :premises (@p441 @p436) :args (@t140)) % 0.37/0.59 (step @p443 :rule trans :premises (@p442 @p56)) % 0.37/0.59 (step @p444 :rule cong :premises (@p443) :args ((not @t140))) % 0.37/0.59 (step @p445 :rule trans :premises (@p444 @p55)) % 0.37/0.59 (step @p446 :rule arith-elim-lt :args (@t139 @t136)) % 0.37/0.59 (step @p447 :rule trans :premises (@p446 @p445)) % 0.37/0.59 (step @p188 :rule arith_mult_neg :args (-1 @t56)) % 0.37/0.59 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.59 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.59 (step @p448 :rule and_intro :premises (@p82 @p634)) % 0.37/0.59 (step @p449 :rule modus_ponens :premises (@p448 @p188)) % 0.37/0.59 (step @p268 :rule arith_mult_neg :args (-1 @t19)) % 0.37/0.59 (step @p269 :rule and_intro :premises (@p82 @p224)) % 0.37/0.59 (step @p270 :rule modus_ponens :premises (@p269 @p268)) % 0.37/0.59 (step @p354 :rule arith_mult_neg :args (-1 @t122)) % 0.37/0.59 (step @p450 :rule and_intro :premises (@p82 @p636)) % 0.37/0.59 (step @p451 :rule modus_ponens :premises (@p450 @p354)) % 0.37/0.59 (step @p452 :rule symm :premises (@p428)) % 0.37/0.59 (step @p453 :rule not_or_elim :premises (@p41) :args (1)) % 0.37/0.59 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.37/0.59 (step @p455 :rule arith_sum_ub :premises (@p454 @p451 @p270 @p449)) % 0.37/0.59 (step @p456 false :rule eq_resolve :premises (@p455 @p447)) % 0.37/0.59 (step-pop @p639 :rule scope :premises (@p456)) % 0.37/0.59 (step @p457 :rule process_scope :premises (@p639) :args (false)) % 0.37/0.59 (step @p459 :rule eq_resolve :premises (@p457 @p430)) % 0.37/0.59 (step @p460 :rule eq_resolve :premises (@p459 @p431)) % 0.37/0.59 (step @p452 :rule symm :premises (@p428)) % 0.37/0.59 (step @p461 :rule eq_resolve :premises (@p42 @p452)) % 0.37/0.59 (step @p462 false :rule contra :premises (@p461 @p460)) % 0.37/0.59 (step-pop @p640 :rule scope :premises (@p462)) % 0.37/0.59 (step-pop @p641 :rule scope :premises (@p640)) % 0.37/0.59 (step-pop @p642 :rule scope :premises (@p641)) % 0.37/0.59 (step-pop @p643 :rule scope :premises (@p642)) % 0.37/0.59 (step @p463 :rule process_scope :premises (@p643) :args (false)) % 0.37/0.59 (assume-push @p644 @t19) % 0.37/0.59 (assume-push @p645 @t133) % 0.37/0.59 (assume-push @p646 @t56) % 0.37/0.59 (assume-push @p647 @t122) % 0.37/0.59 (step @p472 :rule and_intro :premises (@p646 @p224 @p647 @p42)) % 0.37/0.59 (step-pop @p648 :rule scope :premises (@p472)) % 0.37/0.59 (step-pop @p649 :rule scope :premises (@p648)) % 0.37/0.59 (step-pop @p650 :rule scope :premises (@p649)) % 0.37/0.59 (step-pop @p651 :rule scope :premises (@p650)) % 0.37/0.59 (step @p473 :rule process_scope :premises (@p651) :args (@t141)) % 0.37/0.59 (step @p478 :rule implies_elim :premises (@p473)) % 0.37/0.59 (step @p479 :rule resolution :premises (@p478 @p463) :args (true @t141)) % 0.37/0.59 (step @p480 :rule not_and :premises (@p479)) % 0.37/0.59 (step @p481 :rule eq_resolve :premises (@p480 @p423)) % 0.37/0.59 (step @p482 :rule chain_m_resolution :premises (@p481 @p224 @p42 @p420) :args (@t61 (@list false true false) (@list @t19 @t132 @t122))) % 0.37/0.59 (step @p483 :rule chain_m_resolution :premises (@p142 @p114 @p482) :args (@t31 (@list true true) (@list @t46 @t56))) % 0.37/0.59 (step @p484 :rule refl :args (@t142)) % 0.37/0.59 (step @p485 :rule nary_cong :premises (@p326 @p422 @p46 @p484) :args ((or @t115 @t134 @t32 @t142))) % 0.37/0.59 (assume-push @p652 @t31) % 0.37/0.59 (assume-push @p653 @t16) % 0.37/0.59 (assume-push @p654 @t102) % 0.37/0.59 (assume-push @p655 @t133) % 0.37/0.59 (step @p490 :rule arith-elim-leq :args (@t1 8)) % 0.37/0.59 (step @p491 :rule symm :premises (@p490)) % 0.37/0.59 (step @p492 :rule cong :premises (@p491) :args ((not (>= 8 @t1)))) % 0.37/0.59 (step @p493 :rule arith-elim-gt :args (@t1 8)) % 0.37/0.59 (step @p494 :rule trans :premises (@p493 @p492)) % 0.37/0.59 (step @p157 :rule evaluate :args (@t68)) % 0.37/0.59 (step @p495 :rule cong :premises (@p5 @p157) :args (@t143)) % 0.37/0.59 (step @p496 :rule cong :premises (@p495) :args ((not @t143))) % 0.37/0.59 (step @p497 :rule arith-leq-norm :args (@t1 8)) % 0.37/0.59 (step @p498 :rule trans :premises (@p497 @p496)) % 0.37/0.59 (step @p499 :rule cong :premises (@p498) :args ((not @t144))) % 0.37/0.59 (step @p500 :rule trans :premises (@p499 @p422)) % 0.37/0.59 (step @p501 :rule trans :premises (@p494 @p500)) % 0.37/0.59 (step @p502 :rule symm :premises (@p501)) % 0.37/0.59 (step @p503 :rule trans :premises (@p500 @p502)) % 0.37/0.59 (assume-push @p656 @t144) % 0.37/0.59 (step @p55 :rule evaluate :args (@t37)) % 0.37/0.59 (step @p56 :rule evaluate :args (@t38)) % 0.37/0.59 (step @p250 :rule evaluate :args (@t93)) % 0.37/0.59 (step @p61 :rule refl :args (0)) % 0.37/0.59 (step @p60 :rule evaluate :args (@t39)) % 0.37/0.59 (step @p170 :rule evaluate :args (@t73)) % 0.37/0.59 (step @p58 :rule refl :args (8)) % 0.37/0.59 (step @p251 :rule nary_cong :premises (@p58 @p170 @p60 @p61) :args (@t94)) % 0.37/0.59 (step @p252 :rule trans :premises (@p251 @p250)) % 0.37/0.59 (step @p253 :rule arith_poly_norm :args (@t95)) % 0.37/0.59 (step @p254 :rule arith_poly_norm :args (@t97)) % 0.37/0.59 (step @p255 :rule refl :args (@t3)) % 0.37/0.59 (step @p176 :rule arith_poly_norm :args (@t78)) % 0.37/0.59 (step @p256 :rule refl :args (@t26)) % 0.37/0.59 (step @p257 :rule nary_cong :premises (@p256 @p176 @p255 @p254) :args (@t98)) % 0.37/0.59 (step @p258 :rule trans :premises (@p257 @p253)) % 0.37/0.59 (step @p505 :rule arith_poly_norm :args ((= @t145 @t98))) % 0.37/0.59 (step @p506 :rule trans :premises (@p505 @p258)) % 0.37/0.59 (step @p507 :rule cong :premises (@p506 @p252) :args (@t146)) % 0.37/0.59 (step @p508 :rule trans :premises (@p507 @p56)) % 0.37/0.59 (step @p509 :rule cong :premises (@p508) :args ((not @t146))) % 0.37/0.59 (step @p510 :rule trans :premises (@p509 @p55)) % 0.37/0.59 (step @p511 :rule arith-elim-lt :args (@t145 @t94)) % 0.37/0.59 (step @p512 :rule trans :premises (@p511 @p510)) % 0.37/0.59 (step @p85 :rule arith-elim-lt :args (@t23 0)) % 0.37/0.59 (step @p86 :rule symm :premises (@p85)) % 0.37/0.59 (step @p513 :rule eq_resolve :premises (@p652 @p86)) % 0.37/0.59 (step @p351 :rule arith_mult_neg :args (-1 @t16)) % 0.37/0.59 (step @p81 :rule evaluate :args (@t45)) % 0.37/0.59 (step @p82 :rule true_elim :premises (@p81)) % 0.37/0.59 (step @p352 :rule and_intro :premises (@p82 @p40)) % 0.37/0.59 (step @p353 :rule modus_ponens :premises (@p352 @p351)) % 0.37/0.59 (step @p271 :rule arith_mult_neg :args (-1 @t102)) % 0.37/0.59 (step @p514 :rule and_intro :premises (@p82 @p654)) % 0.37/0.59 (step @p515 :rule modus_ponens :premises (@p514 @p271)) % 0.37/0.59 (step @p428 :rule arith-elim-lt :args (@t1 9)) % 0.37/0.59 (step @p452 :rule symm :premises (@p428)) % 0.37/0.59 (step @p516 :rule eq_resolve :premises (@p42 @p452)) % 0.37/0.59 (step @p517 :rule int_tight_ub :premises (@p516)) % 0.37/0.59 (step @p518 :rule arith_sum_ub :premises (@p517 @p515 @p353 @p513)) % 0.37/0.59 (step @p519 false :rule eq_resolve :premises (@p518 @p512)) % 0.37/0.59 (step-pop @p657 :rule scope :premises (@p519)) % 0.37/0.59 (step @p520 :rule process_scope :premises (@p657) :args (false)) % 0.37/0.59 (step @p522 :rule eq_resolve :premises (@p520 @p503)) % 0.37/0.59 (step @p523 :rule eq_resolve :premises (@p522 @p494)) % 0.37/0.59 (step @p428 :rule arith-elim-lt :args (@t1 9)) % 0.37/0.59 (step @p452 :rule symm :premises (@p428)) % 0.37/0.59 (step @p461 :rule eq_resolve :premises (@p42 @p452)) % 0.37/0.59 (step @p524 :rule int_tight_ub :premises (@p461)) % 0.37/0.59 (step @p525 false :rule contra :premises (@p524 @p523)) % 0.37/0.59 (step-pop @p658 :rule scope :premises (@p525)) % 0.37/0.59 (step-pop @p659 :rule scope :premises (@p658)) % 0.37/0.59 (step-pop @p660 :rule scope :premises (@p659)) % 0.37/0.59 (step-pop @p661 :rule scope :premises (@p660)) % 0.37/0.59 (step @p526 :rule process_scope :premises (@p661) :args (false)) % 0.37/0.59 (assume-push @p662 @t16) % 0.37/0.59 (assume-push @p663 @t133) % 0.37/0.59 (assume-push @p664 @t31) % 0.37/0.59 (assume-push @p665 @t102) % 0.37/0.59 (step @p535 :rule and_intro :premises (@p664 @p40 @p665 @p42)) % 0.37/0.59 (step-pop @p666 :rule scope :premises (@p535)) % 0.37/0.59 (step-pop @p667 :rule scope :premises (@p666)) % 0.37/0.59 (step-pop @p668 :rule scope :premises (@p667)) % 0.37/0.59 (step-pop @p669 :rule scope :premises (@p668)) % 0.37/0.59 (step @p536 :rule process_scope :premises (@p669) :args (@t147)) % 0.37/0.59 (step @p541 :rule implies_elim :premises (@p536)) % 0.37/0.59 (step @p542 :rule resolution :premises (@p541 @p526) :args (true @t147)) % 0.37/0.59 (step @p543 :rule not_and :premises (@p542)) % 0.37/0.59 (step @p544 :rule eq_resolve :premises (@p543 @p485)) % 0.37/0.59 (step @p545 false :rule chain_m_resolution :premises (@p544 @p483 @p398 @p42 @p40) :args (false @t127 (@list @t24 @t102 @t132 @t16))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------