%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI575_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:07:53 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI575_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 02:29:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.38/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (define @t1 () (@var "Z" Int)) % 0.38/0.60 (define @t2 () (@var "Y" Int)) % 0.38/0.60 (define @t3 () (@var "X" Int)) % 0.38/0.60 (define @t4 () (and (= @t3 4) (= @t2 5) (= @t1 6))) % 0.38/0.60 (define @t5 () (* 3 @t1)) % 0.38/0.60 (define @t6 () (* 2 @t2)) % 0.38/0.60 (define @t7 () (+ (+ @t3 @t6) @t5)) % 0.38/0.60 (define @t8 () (and (< 3 @t3) (< @t3 @t2) (< @t2 @t1) (< @t7 35))) % 0.38/0.60 (define @t9 () (= @t8 @t4)) % 0.38/0.60 (define @t10 () (@list @t3 @t2 @t1)) % 0.38/0.60 (define @t11 () (forall @t10 @t9)) % 0.38/0.60 (define @t12 () (not @t11)) % 0.38/0.60 (define @t13 () (+ @t3 @t6 @t5)) % 0.38/0.60 (define @t14 () (+ @t2 (* -1 @t1))) % 0.38/0.60 (define @t15 () (>= @t14 0)) % 0.38/0.60 (define @t16 () (+ @t3 (* -1 @t2))) % 0.38/0.60 (define @t17 () (>= @t16 0)) % 0.38/0.60 (define @t18 () (>= @t3 4)) % 0.38/0.60 (define @t19 () (and @t18 (not @t17) (not @t15) (not (>= @t13 35)))) % 0.38/0.60 (define @t20 () (+ @t5 @t6 @t3)) % 0.38/0.60 (define @t21 () (>= @t7 35)) % 0.38/0.60 (define @t22 () (>= @t2 @t1)) % 0.38/0.60 (define @t23 () (>= @t3 @t2)) % 0.38/0.60 (define @t24 () (+ @t3 1)) % 0.38/0.60 (define @t25 () (>= 3 @t3)) % 0.38/0.60 (define @t26 () (forall @t10 (= @t4 @t19))) % 0.38/0.60 (define @t27 () (@quantifiers_skolemize @t26 2)) % 0.38/0.60 (define @t28 () (* 3 @t27)) % 0.38/0.60 (define @t29 () (@quantifiers_skolemize @t26 1)) % 0.38/0.60 (define @t30 () (* 2 @t29)) % 0.38/0.60 (define @t31 () (@quantifiers_skolemize @t26 0)) % 0.38/0.60 (define @t32 () (+ @t31 @t30 @t28)) % 0.38/0.60 (define @t33 () (>= @t32 35)) % 0.38/0.60 (define @t34 () (not @t33)) % 0.38/0.60 (define @t35 () (* -1 @t27)) % 0.38/0.60 (define @t36 () (+ @t29 @t35)) % 0.38/0.60 (define @t37 () (>= @t36 0)) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (* -1 @t29)) % 0.38/0.60 (define @t40 () (+ @t31 @t39)) % 0.38/0.60 (define @t41 () (>= @t40 0)) % 0.38/0.60 (define @t42 () (not @t41)) % 0.38/0.60 (define @t43 () (>= @t31 4)) % 0.38/0.60 (define @t44 () (and @t43 @t42 @t38 @t34)) % 0.38/0.60 (define @t45 () (= @t27 6)) % 0.38/0.60 (define @t46 () (= @t29 5)) % 0.38/0.60 (define @t47 () (= @t31 4)) % 0.38/0.60 (define @t48 () (and @t47 @t46 @t45)) % 0.38/0.60 (define @t49 () (= @t48 @t44)) % 0.38/0.60 (define @t50 () (not @t48)) % 0.38/0.60 (define @t51 () (<= 0 -1)) % 0.38/0.60 (define @t52 () (* -1 6)) % 0.38/0.60 (define @t53 () (* -1 0)) % 0.38/0.60 (define @t54 () (+ @t53 @t52 5)) % 0.38/0.60 (define @t55 () (+ @t39 @t27)) % 0.38/0.60 (define @t56 () (* -1 @t36)) % 0.38/0.60 (define @t57 () (+ @t56 @t35 @t29)) % 0.38/0.60 (define @t58 () (< -1 0)) % 0.38/0.60 (define @t59 () (not @t45)) % 0.38/0.60 (define @t60 () (not @t46)) % 0.38/0.60 (define @t61 () (* -1 5)) % 0.38/0.60 (define @t62 () (+ @t53 @t61 4)) % 0.38/0.60 (define @t63 () (* -1 @t31)) % 0.38/0.60 (define @t64 () (+ @t63 @t29)) % 0.38/0.60 (define @t65 () (* -1 @t40)) % 0.38/0.60 (define @t66 () (+ @t65 @t39 @t31)) % 0.38/0.60 (define @t67 () (not @t47)) % 0.38/0.60 (define @t68 () (* 2 5)) % 0.38/0.60 (define @t69 () (* 3 6)) % 0.38/0.60 (define @t70 () (* -1 35)) % 0.38/0.60 (define @t71 () (+ @t70 @t69 @t68 4)) % 0.38/0.60 (define @t72 () (* -3 @t27)) % 0.38/0.60 (define @t73 () (* -2 @t29)) % 0.38/0.60 (define @t74 () (+ @t63 @t73 @t72)) % 0.38/0.60 (define @t75 () (* -1 @t32)) % 0.38/0.60 (define @t76 () (+ @t75 @t28 @t30 @t31)) % 0.38/0.60 (define @t77 () (> 3 0)) % 0.38/0.60 (define @t78 () (not @t43)) % 0.38/0.60 (define @t79 () (not @t34)) % 0.38/0.60 (define @t80 () (not @t38)) % 0.38/0.60 (define @t81 () (not @t42)) % 0.38/0.60 (define @t82 () (+ 3 1)) % 0.38/0.60 (define @t83 () (>= @t31 @t82)) % 0.38/0.60 (define @t84 () (<= @t31 3)) % 0.38/0.60 (define @t85 () (* -1 4)) % 0.38/0.60 (define @t86 () (+ 3 @t85)) % 0.38/0.60 (define @t87 () (+ @t31 @t63)) % 0.38/0.60 (define @t88 () (and @t78 @t47)) % 0.38/0.60 (define @t89 () (not @t44)) % 0.38/0.60 (define @t90 () (@list false)) % 0.38/0.60 (define @t91 () (@list @t44)) % 0.38/0.60 (define @t92 () (>= @t27 6)) % 0.38/0.60 (define @t93 () (not @t92)) % 0.38/0.60 (define @t94 () (not true)) % 0.38/0.60 (define @t95 () (>= 0 0)) % 0.38/0.60 (define @t96 () (+ 6 -1 @t61)) % 0.38/0.60 (define @t97 () (+ @t35 @t39 @t27 @t29)) % 0.38/0.60 (define @t98 () (= @t97 0)) % 0.38/0.60 (define @t99 () (+ @t27 @t36 @t39)) % 0.38/0.60 (define @t100 () (>= @t99 @t96)) % 0.38/0.60 (define @t101 () (>= @t27 7)) % 0.38/0.60 (define @t102 () (not @t101)) % 0.38/0.60 (define @t103 () (* -2 5)) % 0.38/0.60 (define @t104 () (* -3 7)) % 0.38/0.60 (define @t105 () (+ @t104 34 @t103 @t85)) % 0.38/0.60 (define @t106 () (+ @t73 @t72 @t63 @t28 @t30 @t31)) % 0.38/0.60 (define @t107 () (+ @t72 @t32 @t73 @t63)) % 0.38/0.60 (define @t108 () (not @t102)) % 0.38/0.60 (define @t109 () (+ 6 1)) % 0.38/0.60 (define @t110 () (>= @t27 @t109)) % 0.38/0.60 (define @t111 () (and @t102 @t59 @t92)) % 0.38/0.60 (define @t112 () (+ -1 1)) % 0.38/0.60 (define @t113 () (>= @t40 @t112)) % 0.38/0.60 (define @t114 () (<= @t40 -1)) % 0.38/0.60 (define @t115 () (* -3/2 4/1)) % 0.38/0.60 (define @t116 () (* 1/2 35/1)) % 0.38/0.60 (define @t117 () (* -3/2 7/1)) % 0.38/0.60 (define @t118 () (+ -1/1 @t117 @t116 @t115)) % 0.38/0.60 (define @t119 () (to_real @t31)) % 0.38/0.60 (define @t120 () (to_real @t27)) % 0.38/0.60 (define @t121 () (* -3/2 @t120)) % 0.38/0.60 (define @t122 () (* -3/2 @t119)) % 0.38/0.60 (define @t123 () (+ @t122 @t121 (* 3/2 @t120) (to_real @t29) (to_real @t39) (* 3/2 @t119))) % 0.38/0.60 (define @t124 () (to_real @t32)) % 0.38/0.60 (define @t125 () (* 1/2 @t124)) % 0.38/0.60 (define @t126 () (to_real @t40)) % 0.38/0.60 (define @t127 () (+ @t126 @t121 @t125 @t122)) % 0.38/0.60 (define @t128 () (>= @t127 @t118)) % 0.38/0.60 (define @t129 () (< -3/2 0/1)) % 0.38/0.60 (define @t130 () (> 1/2 0/1)) % 0.38/0.60 (define @t131 () (< @t32 35)) % 0.38/0.60 (define @t132 () (to_real 35)) % 0.38/0.60 (define @t133 () (< @t124 @t132)) % 0.38/0.60 (define @t134 () (to_real 7)) % 0.38/0.60 (define @t135 () (>= @t120 @t134)) % 0.38/0.60 (define @t136 () (to_real -1)) % 0.38/0.60 (define @t137 () (<= @t126 @t136)) % 0.38/0.60 (define @t138 () (and @t47 @t34 @t101 @t42)) % 0.38/0.60 (define @t139 () (>= @t29 6)) % 0.38/0.60 (define @t140 () (not @t139)) % 0.38/0.60 (define @t141 () (+ @t52 -1 6)) % 0.38/0.60 (define @t142 () (+ @t39 @t36 @t27)) % 0.38/0.60 (define @t143 () (< @t40 0)) % 0.38/0.60 (define @t144 () (+ 0 4 @t85)) % 0.38/0.60 (define @t145 () (+ @t63 @t39 @t29 @t31)) % 0.38/0.60 (define @t146 () (+ @t40 @t29 @t63)) % 0.38/0.60 (define @t147 () (>= @t146 @t144)) % 0.38/0.60 (define @t148 () (and @t47 @t60 @t140 @t42)) % 0.38/0.60 (define @t149 () (* -6 5)) % 0.38/0.60 (define @t150 () (* 3 0)) % 0.38/0.60 (define @t151 () (* 5 -1)) % 0.38/0.60 (define @t152 () (+ 35 @t151 @t150 @t149)) % 0.38/0.60 (define @t153 () (* -6 @t31)) % 0.38/0.60 (define @t154 () (+ @t153 @t28 @t30 @t72 (* -5 @t29) (* 3 @t29) (* 6 @t31))) % 0.38/0.60 (define @t155 () (+ @t32 (* 5 @t40) (* 3 @t36) @t153)) % 0.38/0.60 (define @t156 () (>= @t155 @t152)) % 0.38/0.60 (define @t157 () (and @t43 @t67 @t38 @t42 @t34)) % 0.38/0.60 (assume @p1 @t12) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule eq-symm :args (@t19 @t4)) % 0.38/0.60 (step @p4 :rule refl :args (@t4)) % 0.38/0.60 (step @p5 :rule refl :args (35)) % 0.38/0.60 (step @p6 :rule arith_poly_norm :args ((= @t20 @t13))) % 0.38/0.60 (step @p7 :rule arith_poly_norm :args ((= @t7 @t20))) % 0.38/0.60 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.60 (step @p9 :rule cong :premises (@p8 @p5) :args (@t21)) % 0.38/0.60 (step @p10 :rule cong :premises (@p9) :args ((not @t21))) % 0.38/0.60 (step @p11 :rule arith-elim-lt :args (@t7 35)) % 0.38/0.60 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.60 (step @p13 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t1)) (* 1 (- @t14 0))))) % 0.38/0.60 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= @t22 @t15))) % 0.38/0.60 (step @p15 :rule cong :premises (@p14) :args ((not @t22))) % 0.38/0.60 (step @p16 :rule arith-elim-lt :args (@t2 @t1)) % 0.38/0.60 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.60 (step @p18 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t2)) (* 1 (- @t16 0))))) % 0.38/0.60 (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= @t23 @t17))) % 0.38/0.60 (step @p20 :rule cong :premises (@p19) :args ((not @t23))) % 0.38/0.60 (step @p21 :rule arith-elim-lt :args (@t3 @t2)) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.60 (step @p23 :rule bool-double-not-elim :args (@t18)) % 0.38/0.60 (step @p24 :rule arith_poly_norm :args ((= (* 3 (- 4 @t24)) (* 3 (- 3 @t3))))) % 0.38/0.60 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= (>= 4 @t24) @t25))) % 0.38/0.60 (step @p26 :rule arith-geq-tighten :args (@t3 4)) % 0.38/0.60 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.60 (step @p28 :rule symm :premises (@p27)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args ((not @t25))) % 0.38/0.60 (step @p30 :rule trans :premises (@p29 @p23)) % 0.38/0.60 (step @p31 :rule arith-elim-lt :args (3 @t3)) % 0.38/0.60 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.60 (step @p33 :rule nary_cong :premises (@p32 @p22 @p17 @p12) :args (@t8)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33 @p4) :args (@t9)) % 0.38/0.60 (step @p35 :rule trans :premises (@p34 @p3)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.38/0.60 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.38/0.60 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.38/0.60 (step @p39 :rule skolemize :premises (@p38)) % 0.38/0.60 (step @p40 :rule cnf_equiv_neg1 :args (@t49)) % 0.38/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t48 @t44 @t49))) % 0.38/0.60 (step @p42 :rule cnf_and_pos :args (@t48 0)) % 0.38/0.60 (step @p43 :rule reordering :premises (@p42) :args ((or @t47 @t50))) % 0.38/0.60 (step @p44 :rule cnf_and_pos :args (@t48 1)) % 0.38/0.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t46 @t50))) % 0.38/0.60 (step @p46 :rule cnf_and_pos :args (@t48 2)) % 0.38/0.60 (step @p47 :rule reordering :premises (@p46) :args ((or @t45 @t50))) % 0.38/0.60 (assume-push @p662 @t45) % 0.38/0.60 (assume-push @p663 @t46) % 0.38/0.60 (assume-push @p664 @t37) % 0.38/0.60 (step @p51 :rule evaluate :args (@t51)) % 0.38/0.60 (step @p52 :rule evaluate :args ((+ 0 -6 5))) % 0.38/0.60 (step @p53 :rule refl :args (5)) % 0.38/0.60 (step @p54 :rule evaluate :args (@t52)) % 0.38/0.60 (step @p55 :rule evaluate :args (@t53)) % 0.38/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args (@t54)) % 0.38/0.60 (step @p57 :rule trans :premises (@p56 @p52)) % 0.38/0.60 (step @p58 :rule arith_poly_norm :args ((= (+ @t55 @t35 @t29) 0))) % 0.38/0.60 (step @p59 :rule refl :args (@t29)) % 0.38/0.60 (step @p60 :rule refl :args (@t35)) % 0.38/0.60 (step @p61 :rule arith_poly_norm :args ((= @t56 @t55))) % 0.38/0.60 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t57)) % 0.38/0.60 (step @p63 :rule trans :premises (@p62 @p58)) % 0.38/0.60 (step @p64 :rule cong :premises (@p63 @p57) :args ((<= @t57 @t54))) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p51)) % 0.38/0.60 (step @p66 :rule arith_mult_neg :args (-1 @t45)) % 0.38/0.60 (step @p67 :rule evaluate :args (@t58)) % 0.38/0.60 (step @p68 :rule true_elim :premises (@p67)) % 0.38/0.60 (step @p69 :rule and_intro :premises (@p68 @p662)) % 0.38/0.60 (step @p70 :rule modus_ponens :premises (@p69 @p66)) % 0.38/0.60 (step @p71 :rule arith_mult_neg :args (-1 @t37)) % 0.38/0.60 (step @p72 :rule and_intro :premises (@p68 @p664)) % 0.38/0.60 (step @p73 :rule modus_ponens :premises (@p72 @p71)) % 0.38/0.60 (step @p74 :rule arith_sum_ub :premises (@p73 @p70 @p663)) % 0.38/0.60 (step @p75 false :rule eq_resolve :premises (@p74 @p65)) % 0.38/0.60 (step-pop @p665 :rule scope :premises (@p75)) % 0.38/0.60 (step-pop @p666 :rule scope :premises (@p665)) % 0.38/0.60 (step-pop @p667 :rule scope :premises (@p666)) % 0.38/0.60 (step @p76 :rule process_scope :premises (@p667) :args (false)) % 0.38/0.60 (step @p80 :rule not_and :premises (@p76)) % 0.38/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or @t38 @t60 @t59))) % 0.38/0.60 (assume-push @p668 @t46) % 0.38/0.60 (assume-push @p669 @t47) % 0.38/0.60 (assume-push @p670 @t41) % 0.38/0.60 (step @p51 :rule evaluate :args (@t51)) % 0.38/0.60 (step @p85 :rule evaluate :args ((+ 0 -5 4))) % 0.38/0.60 (step @p86 :rule refl :args (4)) % 0.38/0.60 (step @p87 :rule evaluate :args (@t61)) % 0.38/0.60 (step @p55 :rule evaluate :args (@t53)) % 0.38/0.60 (step @p88 :rule nary_cong :premises (@p55 @p87 @p86) :args (@t62)) % 0.38/0.60 (step @p89 :rule trans :premises (@p88 @p85)) % 0.38/0.60 (step @p90 :rule arith_poly_norm :args ((= (+ @t64 @t39 @t31) 0))) % 0.38/0.60 (step @p91 :rule refl :args (@t31)) % 0.38/0.60 (step @p92 :rule refl :args (@t39)) % 0.38/0.60 (step @p93 :rule arith_poly_norm :args ((= @t65 @t64))) % 0.38/0.60 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t66)) % 0.38/0.60 (step @p95 :rule trans :premises (@p94 @p90)) % 0.38/0.60 (step @p96 :rule cong :premises (@p95 @p89) :args ((<= @t66 @t62))) % 0.38/0.60 (step @p97 :rule trans :premises (@p96 @p51)) % 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@t67) % 0.38/0.60 (assume-push @p774 @t38) % 0.38/0.60 (assume-push @p775 @t42) % 0.38/0.60 (assume-push @p776 @t34) % 0.38/0.60 (step @p302 :rule arith-elim-lt :args (@t32 35)) % 0.38/0.60 (step @p593 :rule cong :premises (@p302) :args ((not @t131))) % 0.38/0.60 (step @p594 :rule trans :premises (@p593 @p153)) % 0.38/0.60 (step @p595 :rule symm :premises (@p594)) % 0.38/0.60 (assume-push @p777 @t131) % 0.38/0.60 (step @p245 :rule evaluate :args (@t94)) % 0.38/0.60 (step @p246 :rule evaluate :args (@t95)) % 0.38/0.60 (step @p597 :rule evaluate :args ((+ 35 -5 0 -30))) % 0.38/0.60 (step @p598 :rule evaluate :args (@t149)) % 0.38/0.60 (step @p599 :rule evaluate :args (@t150)) % 0.38/0.60 (step @p600 :rule evaluate :args (@t151)) % 0.38/0.60 (step @p601 :rule nary_cong :premises (@p5 @p600 @p599 @p598) :args (@t152)) % 0.38/0.60 (step @p602 :rule trans :premises (@p601 @p597)) % 0.38/0.60 (step @p603 :rule arith_poly_norm :args ((= @t154 0))) % 0.38/0.60 (step @p604 :rule arith_poly_norm :args ((= @t155 @t154))) % 0.38/0.60 (step @p605 :rule trans :premises (@p604 @p603)) % 0.38/0.60 (step @p606 :rule cong :premises (@p605 @p602) :args (@t156)) % 0.38/0.60 (step @p607 :rule trans :premises (@p606 @p246)) % 0.38/0.60 (step @p608 :rule cong :premises (@p607) :args ((not @t156))) % 0.38/0.60 (step @p609 :rule trans :premises (@p608 @p245)) % 0.38/0.60 (step @p610 :rule arith-elim-lt :args (@t155 @t152)) % 0.38/0.60 (step @p611 :rule trans :premises (@p610 @p609)) % 0.38/0.60 (step @p612 :rule arith_mult_neg :args (-6 (>= @t31 5))) % 0.38/0.60 (step @p613 :rule arith_trichotomy :premises (@p772 @p773)) % 0.38/0.60 (step @p614 :rule int_tight_lb :premises (@p613)) % 0.38/0.60 (step @p615 :rule evaluate :args ((< -6 0))) % 0.38/0.60 (step @p616 :rule true_elim :premises (@p615)) % 0.38/0.60 (step @p617 :rule and_intro :premises (@p616 @p614)) % 0.38/0.60 (step @p618 :rule modus_ponens :premises (@p617 @p612)) % 0.38/0.60 (step @p619 :rule arith_mult_pos :args (3 (< @t36 0))) % 0.38/0.60 (step @p263 :rule arith-elim-lt :args (@t36 0)) % 0.38/0.60 (step @p264 :rule symm :premises (@p263)) % 0.38/0.60 (step @p620 :rule eq_resolve :premises (@p774 @p264)) % 0.38/0.60 (step @p137 :rule evaluate :args (@t77)) % 0.38/0.60 (step @p138 :rule true_elim :premises (@p137)) % 0.38/0.60 (step @p621 :rule and_intro :premises (@p138 @p620)) % 0.38/0.60 (step @p622 :rule modus_ponens :premises (@p621 @p619)) % 0.38/0.60 (step @p623 :rule arith_mult_pos :args (5 @t114)) % 0.38/0.60 (step @p473 :rule arith-elim-lt :args (@t40 0)) % 0.38/0.60 (step @p474 :rule symm :premises (@p473)) % 0.38/0.60 (step @p624 :rule eq_resolve :premises (@p775 @p474)) % 0.38/0.60 (step @p625 :rule int_tight_ub :premises (@p624)) % 0.38/0.60 (step @p626 :rule evaluate :args ((> 5 0))) % 0.38/0.60 (step @p627 :rule true_elim :premises (@p626)) % 0.38/0.60 (step @p628 :rule and_intro :premises (@p627 @p625)) % 0.38/0.60 (step @p629 :rule modus_ponens :premises (@p628 @p623)) % 0.38/0.60 (step @p630 :rule arith_sum_ub :premises (@p777 @p629 @p622 @p618)) % 0.38/0.60 (step @p631 false :rule eq_resolve :premises (@p630 @p611)) % 0.38/0.60 (step-pop @p778 :rule scope :premises (@p631)) % 0.38/0.60 (step @p632 :rule process_scope :premises (@p778) :args (false)) % 0.38/0.60 (step @p634 :rule eq_resolve :premises (@p632 @p594)) % 0.38/0.60 (step @p635 :rule eq_resolve :premises (@p634 @p595)) % 0.38/0.60 (step @p303 :rule symm :premises (@p302)) % 0.38/0.60 (step @p636 :rule eq_resolve :premises (@p776 @p303)) % 0.38/0.60 (step @p637 false :rule contra :premises (@p636 @p635)) % 0.38/0.60 (step-pop @p779 :rule scope :premises (@p637)) % 0.38/0.60 (step-pop @p780 :rule scope :premises (@p779)) % 0.38/0.60 (step-pop @p781 :rule scope :premises (@p780)) % 0.38/0.60 (step-pop @p782 :rule scope :premises (@p781)) % 0.38/0.60 (step-pop @p783 :rule scope :premises (@p782)) % 0.38/0.60 (step @p638 :rule process_scope :premises (@p783) :args (false)) % 0.38/0.60 (assume-push @p784 @t43) % 0.38/0.60 (assume-push @p785 @t42) % 0.38/0.60 (assume-push @p786 @t38) % 0.38/0.60 (assume-push @p787 @t34) % 0.38/0.60 (assume-push @p788 @t67) % 0.38/0.60 (step @p649 :rule and_intro :premises (@p784 @p788 @p786 @p785 @p787)) % 0.38/0.60 (step-pop @p789 :rule scope :premises (@p649)) % 0.38/0.60 (step-pop @p790 :rule scope :premises (@p789)) % 0.38/0.60 (step-pop @p791 :rule scope :premises (@p790)) % 0.38/0.60 (step-pop @p792 :rule scope :premises (@p791)) % 0.38/0.60 (step-pop @p793 :rule scope :premises (@p792)) % 0.38/0.60 (step @p650 :rule process_scope :premises (@p793) :args (@t157)) % 0.38/0.60 (step @p656 :rule implies_elim :premises (@p650)) % 0.38/0.60 (step @p657 :rule resolution :premises (@p656 @p638) :args (true @t157)) % 0.38/0.60 (step @p658 :rule not_and :premises (@p657)) % 0.38/0.60 (step @p659 :rule eq_resolve :premises (@p658 @p587)) % 0.38/0.60 (step @p660 :rule reordering :premises (@p659) :args ((or @t47 @t41 @t37 @t33 @t78))) % 0.38/0.60 (step @p661 false :rule chain_m_resolution :premises (@p660 @p585 @p235 @p232 @p229 @p226) :args (false (@list true true true true false) (@list @t47 @t33 @t37 @t41 @t43))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------