%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI616_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 : n008.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 08:07:59 AM UTC 2026 % Result : Theorem 0.42s 0.63s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI616_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 02:30:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.42/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.63 % SZS status Theorem % 0.42/0.63 % SZS output start Proof % 0.42/0.63 ( % 0.42/0.63 (declare-const tptp.p (-> Int Int Int Bool)) % 0.42/0.63 (define @t1 () (@var "Z2" Int)) % 0.42/0.63 (define @t2 () (@var "Z1" Int)) % 0.42/0.63 (define @t3 () (+ @t2 @t1)) % 0.42/0.63 (define @t4 () (@var "Y2" Int)) % 0.42/0.63 (define @t5 () (- @t4)) % 0.42/0.63 (define @t6 () (@var "Y1" Int)) % 0.42/0.63 (define @t7 () (+ @t6 @t5)) % 0.42/0.63 (define @t8 () (<= @t7 @t3)) % 0.42/0.63 (define @t9 () (@var "X" Int)) % 0.42/0.63 (define @t10 () (tptp.p @t9 @t4 @t1)) % 0.42/0.63 (define @t11 () (tptp.p @t9 @t6 @t2)) % 0.42/0.63 (define @t12 () (and @t11 @t10)) % 0.42/0.63 (define @t13 () (@list @t9)) % 0.42/0.63 (define @t14 () (exists @t13 @t12)) % 0.42/0.63 (define @t15 () (=> @t14 @t8)) % 0.42/0.63 (define @t16 () (@list @t6 @t2 @t4 @t1)) % 0.42/0.63 (define @t17 () (forall @t16 @t15)) % 0.42/0.63 (define @t18 () (@var "Z" Int)) % 0.42/0.63 (define @t19 () (@var "Y" Int)) % 0.42/0.63 (define @t20 () (tptp.p @t9 @t19 @t18)) % 0.42/0.63 (define @t21 () (+ @t19 @t18)) % 0.42/0.63 (define @t22 () (- @t18)) % 0.42/0.63 (define @t23 () (+ @t19 @t22)) % 0.42/0.63 (define @t24 () (<= @t23 @t9)) % 0.42/0.63 (define @t25 () (and @t24 (<= @t9 @t21))) % 0.42/0.63 (define @t26 () (= @t25 @t20)) % 0.42/0.63 (define @t27 () (@list @t9 @t19 @t18)) % 0.42/0.63 (define @t28 () (forall @t27 @t26)) % 0.42/0.63 (define @t29 () (=> @t28 @t17)) % 0.42/0.63 (define @t30 () (not @t29)) % 0.42/0.63 (define @t31 () (* -1 1)) % 0.42/0.63 (define @t32 () (* -1 0)) % 0.42/0.63 (define @t33 () (+ @t32 @t31 1)) % 0.42/0.63 (define @t34 () (@var "BOUND_VARIABLE_7473" Int)) % 0.42/0.63 (define @t35 () (not (tptp.p @t34 @t4 @t1))) % 0.42/0.63 (define @t36 () (not (tptp.p @t34 @t6 @t2))) % 0.42/0.63 (define @t37 () (* -1 @t4)) % 0.42/0.63 (define @t38 () (+ @t6 (* -1 @t2) @t37 (* -1 @t1))) % 0.42/0.63 (define @t39 () (>= @t38 1)) % 0.42/0.63 (define @t40 () (not @t39)) % 0.42/0.63 (define @t41 () (or @t40 @t36 @t35)) % 0.42/0.63 (define @t42 () (@list @t6 @t2 @t4 @t1 @t34)) % 0.42/0.63 (define @t43 () (forall @t42 @t41)) % 0.42/0.63 (define @t44 () (@quantifiers_skolemize @t43 2)) % 0.42/0.63 (define @t45 () (* -1 @t44)) % 0.42/0.63 (define @t46 () (@quantifiers_skolemize @t43 3)) % 0.42/0.63 (define @t47 () (* -1 @t46)) % 0.42/0.63 (define @t48 () (@quantifiers_skolemize @t43 0)) % 0.42/0.63 (define @t49 () (* 0 @t48)) % 0.42/0.63 (define @t50 () (@quantifiers_skolemize @t43 1)) % 0.42/0.63 (define @t51 () (* 0 @t50)) % 0.42/0.63 (define @t52 () (@quantifiers_skolemize @t43 4)) % 0.42/0.63 (define @t53 () (* 0 @t52)) % 0.42/0.63 (define @t54 () (+ @t53 @t46 @t44 @t51 @t47 @t45 @t49)) % 0.42/0.63 (define @t55 () (* -1 @t52)) % 0.42/0.63 (define @t56 () (* -1 @t50)) % 0.42/0.63 (define @t57 () (+ @t48 @t56 @t55)) % 0.42/0.63 (define @t58 () (+ @t48 @t56 @t45 @t47)) % 0.42/0.63 (define @t59 () (+ @t44 @t46 @t55)) % 0.42/0.63 (define @t60 () (+ (* -1 @t59) (* -1 @t58) @t57)) % 0.42/0.63 (define @t61 () (>= @t60 @t33)) % 0.42/0.63 (define @t62 () (or @t36 @t35)) % 0.42/0.63 (define @t63 () (or @t62 @t40)) % 0.42/0.63 (define @t64 () (forall @t42 @t63)) % 0.42/0.63 (define @t65 () (@list @t34)) % 0.42/0.63 (define @t66 () (forall @t65 @t63)) % 0.42/0.63 (define @t67 () (forall @t65 @t62)) % 0.42/0.63 (define @t68 () (or @t67 @t40)) % 0.42/0.63 (define @t69 () (forall @t13 (or (not @t11) (not @t10)))) % 0.42/0.63 (define @t70 () (not @t69)) % 0.42/0.63 (define @t71 () (+ @t3 1)) % 0.42/0.63 (define @t72 () (+ @t6 @t37)) % 0.42/0.63 (define @t73 () (>= @t72 @t71)) % 0.42/0.63 (define @t74 () (forall @t13 (not @t12))) % 0.42/0.63 (define @t75 () (not @t74)) % 0.42/0.63 (define @t76 () (* -1 @t18)) % 0.42/0.63 (define @t77 () (* -1 @t19)) % 0.42/0.63 (define @t78 () (+ @t9 @t77 @t76)) % 0.42/0.63 (define @t79 () (>= @t78 1)) % 0.42/0.63 (define @t80 () (+ @t9 @t77 @t18)) % 0.42/0.63 (define @t81 () (>= @t80 0)) % 0.42/0.63 (define @t82 () (and @t81 (not @t79))) % 0.42/0.63 (define @t83 () (+ @t21 1)) % 0.42/0.63 (define @t84 () (>= @t9 @t83)) % 0.42/0.63 (define @t85 () (+ @t19 @t76)) % 0.42/0.63 (define @t86 () (+ @t48 @t50 @t55)) % 0.42/0.63 (define @t87 () (>= @t86 0)) % 0.42/0.63 (define @t88 () (* -1 @t48)) % 0.42/0.63 (define @t89 () (+ @t88 @t56 @t52)) % 0.42/0.63 (define @t90 () (+ @t86 1)) % 0.42/0.63 (define @t91 () (+ @t52 @t88 @t56)) % 0.42/0.63 (define @t92 () (>= @t91 1)) % 0.42/0.63 (define @t93 () (not @t92)) % 0.42/0.63 (define @t94 () (+ @t88 @t50 @t52)) % 0.42/0.63 (define @t95 () (+ @t57 1)) % 0.42/0.63 (define @t96 () (+ @t52 @t88 @t50)) % 0.42/0.63 (define @t97 () (>= @t96 0)) % 0.42/0.63 (define @t98 () (and @t97 @t93)) % 0.42/0.63 (define @t99 () (tptp.p @t52 @t48 @t50)) % 0.42/0.63 (define @t100 () (= @t99 @t98)) % 0.42/0.63 (define @t101 () (forall @t27 (= @t20 @t82))) % 0.42/0.63 (define @t102 () (not (>= @t57 1))) % 0.42/0.63 (define @t103 () (and @t102 @t87)) % 0.42/0.63 (define @t104 () (= @t99 @t103)) % 0.42/0.63 (define @t105 () (@list false)) % 0.42/0.63 (define @t106 () (@list @t101)) % 0.42/0.63 (define @t107 () (tptp.p @t52 @t44 @t46)) % 0.42/0.63 (define @t108 () (not @t107)) % 0.42/0.63 (define @t109 () (not @t99)) % 0.42/0.63 (define @t110 () (>= @t58 1)) % 0.42/0.63 (define @t111 () (not @t110)) % 0.42/0.63 (define @t112 () (or @t111 @t109 @t108)) % 0.42/0.63 (define @t113 () (@list true)) % 0.42/0.63 (define @t114 () (@list @t112)) % 0.42/0.63 (define @t115 () (@list false false)) % 0.42/0.63 (define @t116 () (>= @t59 0)) % 0.42/0.63 (define @t117 () (+ @t45 @t47 @t52)) % 0.42/0.63 (define @t118 () (+ @t59 1)) % 0.42/0.63 (define @t119 () (+ @t52 @t45 @t47)) % 0.42/0.63 (define @t120 () (>= @t119 1)) % 0.42/0.63 (define @t121 () (not @t120)) % 0.42/0.63 (define @t122 () (+ @t45 @t46 @t52)) % 0.42/0.63 (define @t123 () (+ @t44 @t47 @t55)) % 0.42/0.63 (define @t124 () (+ @t123 1)) % 0.42/0.63 (define @t125 () (+ @t52 @t45 @t46)) % 0.42/0.63 (define @t126 () (>= @t125 0)) % 0.42/0.63 (define @t127 () (and @t126 @t121)) % 0.42/0.63 (define @t128 () (= @t107 @t127)) % 0.42/0.63 (define @t129 () (and (not (>= @t123 1)) @t116)) % 0.42/0.63 (define @t130 () (= @t107 @t129)) % 0.42/0.63 (assume @p1 @t30) % 0.42/0.63 (assume @p2 true) % 0.42/0.63 (step @p3 :rule evaluate :args ((not true))) % 0.42/0.63 (step @p4 :rule evaluate :args ((>= 0 0))) % 0.42/0.63 (step @p5 :rule evaluate :args ((+ 0 -1 1))) % 0.42/0.63 (step @p6 :rule refl :args (1)) % 0.42/0.63 (step @p7 :rule evaluate :args (@t31)) % 0.42/0.63 (step @p8 :rule evaluate :args (@t32)) % 0.42/0.63 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t33)) % 0.42/0.63 (step @p10 :rule trans :premises (@p9 @p5)) % 0.42/0.63 (step @p11 :rule arith_poly_norm :args ((= (+ 0 @t46 @t44 0 @t47 @t45 0) 0))) % 0.42/0.63 (step @p12 :rule arith_poly_norm :args ((= @t49 0))) % 0.42/0.63 (step @p13 :rule refl :args (@t45)) % 0.42/0.63 (step @p14 :rule refl :args (@t47)) % 0.42/0.63 (step @p15 :rule arith_poly_norm :args ((= @t51 0))) % 0.42/0.63 (step @p16 :rule refl :args (@t44)) % 0.42/0.63 (step @p17 :rule refl :args (@t46)) % 0.42/0.63 (step @p18 :rule arith_poly_norm :args ((= @t53 0))) % 0.42/0.63 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15 @p14 @p13 @p12) :args (@t54)) % 0.42/0.63 (step @p20 :rule trans :premises (@p19 @p11)) % 0.42/0.63 (step @p21 :rule arith_poly_norm :args ((= @t60 @t54))) % 0.42/0.63 (step @p22 :rule trans :premises (@p21 @p20)) % 0.42/0.63 (step @p23 :rule cong :premises (@p22 @p10) :args (@t61)) % 0.42/0.63 (step @p24 :rule trans :premises (@p23 @p4)) % 0.42/0.63 (step @p25 :rule cong :premises (@p24) :args ((not @t61))) % 0.42/0.63 (step @p26 :rule trans :premises (@p25 @p3)) % 0.42/0.63 (step @p27 :rule arith-elim-lt :args (@t60 @t33)) % 0.42/0.63 (step @p28 :rule trans :premises (@p27 @p26)) % 0.42/0.63 (step @p29 :rule arith-elim-lt :args (@t57 1)) % 0.42/0.63 (step @p30 :rule symm :premises (@p29)) % 0.42/0.63 (step @p31 :rule aci_norm :args ((= @t63 @t41))) % 0.42/0.63 (step @p32 :rule cong :premises (@p31) :args (@t64)) % 0.42/0.63 (step @p33 :rule quant-merge-prenex :args ((= (forall @t16 @t66) @t64))) % 0.42/0.63 (step @p34 :rule refl :args (@t40)) % 0.42/0.63 (step @p35 :rule alpha_equiv :args (@t67 (@list @t34) (@list @t9))) % 0.42/0.63 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t68)) % 0.42/0.63 (step @p37 :rule quant-miniscope-or :args ((= @t66 @t68))) % 0.42/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.42/0.63 (step @p39 :rule symm :premises (@p38)) % 0.42/0.63 (step @p40 :rule cong :premises (@p39) :args ((forall @t16 (or @t69 @t40)))) % 0.42/0.63 (step @p41 :rule trans :premises (@p40 @p33)) % 0.42/0.63 (step @p42 :rule trans :premises (@p41 @p32)) % 0.42/0.63 (step @p43 :rule bool-double-not-elim :args (@t69)) % 0.42/0.63 (step @p44 :rule nary_cong :premises (@p43 @p34) :args ((or (not @t70) @t40))) % 0.42/0.63 (step @p45 :rule bool-impl-elim :args (@t70 @t40)) % 0.42/0.63 (step @p46 :rule trans :premises (@p45 @p44)) % 0.42/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t16 (=> @t70 @t40)))) % 0.42/0.63 (step @p48 :rule trans :premises (@p47 @p42)) % 0.42/0.63 (step @p49 :rule arith_poly_norm :args ((= (* -1 (- @t72 @t71)) (* -1 (- @t38 1))))) % 0.42/0.64 (step @p50 :rule arith_poly_norm_rel :premises (@p49) :args ((= @t73 @t39))) % 0.42/0.64 (step @p51 :rule cong :premises (@p50) :args ((not @t73))) % 0.42/0.64 (step @p52 :rule arith-leq-norm :args (@t72 @t3)) % 0.42/0.64 (step @p53 :rule trans :premises (@p52 @p51)) % 0.42/0.64 (step @p54 :rule refl :args (@t3)) % 0.42/0.64 (step @p55 :rule arith_poly_norm :args ((= @t5 @t37))) % 0.42/0.64 (step @p56 :rule refl :args (@t6)) % 0.42/0.64 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t7)) % 0.42/0.64 (step @p58 :rule cong :premises (@p57 @p54) :args (@t8)) % 0.42/0.64 (step @p59 :rule trans :premises (@p58 @p53)) % 0.42/0.64 (step @p60 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.42/0.64 (step @p61 :rule cong :premises (@p60) :args (@t74)) % 0.42/0.64 (step @p62 :rule cong :premises (@p61) :args (@t75)) % 0.42/0.64 (step @p63 :rule exists-elim :args ((= @t14 @t75))) % 0.42/0.64 (step @p64 :rule trans :premises (@p63 @p62)) % 0.42/0.64 (step @p65 :rule cong :premises (@p64 @p59) :args (@t15)) % 0.42/0.64 (step @p66 :rule cong :premises (@p65) :args (@t17)) % 0.42/0.64 (step @p67 :rule trans :premises (@p66 @p48)) % 0.42/0.64 (step @p68 :rule eq-symm :args (@t82 @t20)) % 0.42/0.64 (step @p69 :rule refl :args (@t20)) % 0.42/0.64 (step @p70 :rule arith_poly_norm :args ((= (* -1 (- @t9 @t83)) (* -1 (- @t78 1))))) % 0.42/0.64 (step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= @t84 @t79))) % 0.42/0.64 (step @p72 :rule cong :premises (@p71) :args ((not @t84))) % 0.42/0.64 (step @p73 :rule arith-leq-norm :args (@t9 @t21)) % 0.42/0.64 (step @p74 :rule trans :premises (@p73 @p72)) % 0.42/0.64 (step @p75 :rule arith_poly_norm :args ((= (* 1 (- @t9 @t85)) (* 1 (- @t80 0))))) % 0.42/0.64 (step @p76 :rule arith_poly_norm_rel :premises (@p75) :args ((= (>= @t9 @t85) @t81))) % 0.42/0.64 (step @p77 :rule arith-elim-leq :args (@t85 @t9)) % 0.42/0.64 (step @p78 :rule trans :premises (@p77 @p76)) % 0.42/0.64 (step @p79 :rule refl :args (@t9)) % 0.42/0.64 (step @p80 :rule arith_poly_norm :args ((= @t22 @t76))) % 0.42/0.64 (step @p81 :rule refl :args (@t19)) % 0.42/0.64 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t23)) % 0.42/0.64 (step @p83 :rule cong :premises (@p82 @p79) :args (@t24)) % 0.42/0.64 (step @p84 :rule trans :premises (@p83 @p78)) % 0.42/0.64 (step @p85 :rule nary_cong :premises (@p84 @p74) :args (@t25)) % 0.42/0.64 (step @p86 :rule cong :premises (@p85 @p69) :args (@t26)) % 0.42/0.64 (step @p87 :rule trans :premises (@p86 @p68)) % 0.42/0.64 (step @p88 :rule cong :premises (@p87) :args (@t28)) % 0.42/0.64 (step @p89 :rule cong :premises (@p88 @p67) :args (@t29)) % 0.42/0.64 (step @p90 :rule cong :premises (@p89) :args (@t30)) % 0.42/0.64 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.42/0.64 (step @p92 :rule not_implies_elim1 :premises (@p91)) % 0.42/0.64 (step @p93 :rule bool-double-not-elim :args (@t87)) % 0.42/0.64 (step @p94 :rule arith_poly_norm :args ((= (* -1 (- 0 @t90)) (* -1 (- @t89 1))))) % 0.42/0.64 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= (>= 0 @t90) (>= @t89 1)))) % 0.42/0.64 (step @p96 :rule arith-geq-tighten :args (@t86 0)) % 0.42/0.64 (step @p97 :rule trans :premises (@p96 @p95)) % 0.42/0.64 (step @p98 :rule symm :premises (@p97)) % 0.42/0.64 (step @p99 :rule arith_poly_norm :args ((= @t91 @t89))) % 0.42/0.64 (step @p100 :rule cong :premises (@p99 @p6) :args (@t92)) % 0.42/0.64 (step @p101 :rule trans :premises (@p100 @p98)) % 0.42/0.64 (step @p102 :rule cong :premises (@p101) :args (@t93)) % 0.42/0.64 (step @p103 :rule trans :premises (@p102 @p93)) % 0.42/0.64 (step @p104 :rule arith_poly_norm :args ((= (* -1 (- 1 @t95)) (* -1 (- @t94 0))))) % 0.42/0.64 (step @p105 :rule arith_poly_norm_rel :premises (@p104) :args ((= (>= 1 @t95) (>= @t94 0)))) % 0.42/0.64 (step @p106 :rule arith-geq-tighten :args (@t57 1)) % 0.42/0.64 (step @p107 :rule trans :premises (@p106 @p105)) % 0.42/0.64 (step @p108 :rule symm :premises (@p107)) % 0.42/0.64 (step @p109 :rule refl :args (0)) % 0.42/0.64 (step @p110 :rule arith_poly_norm :args ((= @t96 @t94))) % 0.42/0.64 (step @p111 :rule cong :premises (@p110 @p109) :args (@t97)) % 0.42/0.64 (step @p112 :rule trans :premises (@p111 @p108)) % 0.42/0.64 (step @p113 :rule nary_cong :premises (@p112 @p103) :args (@t98)) % 0.42/0.64 (step @p114 :rule refl :args (@t99)) % 0.42/0.64 (step @p115 :rule cong :premises (@p114 @p113) :args (@t100)) % 0.42/0.64 (step @p116 :rule refl :args (@t101)) % 0.42/0.64 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t101 @t100))) % 0.42/0.64 (assume-push @p199 @t101) % 0.42/0.64 (step @p119 :rule instantiate :premises (@p92) :args ((@list @t52 @t48 @t50))) % 0.42/0.64 (step-pop @p200 :rule scope :premises (@p119)) % 0.42/0.64 (step @p120 :rule process_scope :premises (@p200) :args (@t100)) % 0.42/0.64 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.42/0.64 (step @p123 :rule implies_elim :premises (@p122)) % 0.42/0.64 (step @p124 :rule chain_m_resolution :premises (@p123 @p92) :args (@t104 @t105 @t106)) % 0.42/0.64 (step @p125 :rule not_implies_elim2 :premises (@p91)) % 0.42/0.64 (step @p126 :rule skolemize :premises (@p125)) % 0.42/0.64 (step @p127 :rule bool-double-not-elim :args (@t99)) % 0.42/0.64 (step @p128 :rule refl :args (@t112)) % 0.42/0.64 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t112 (not @t109)))) % 0.42/0.64 (step @p130 :rule cnf_or_neg :args (@t112 1)) % 0.42/0.64 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.42/0.64 (step @p132 :rule reordering :premises (@p131) :args ((or @t99 @t112))) % 0.42/0.64 (step @p133 :rule chain_m_resolution :premises (@p132 @p126) :args (@t99 @t113 @t114)) % 0.42/0.64 (step @p134 :rule cnf_equiv_pos1 :args (@t104)) % 0.42/0.64 (step @p135 :rule reordering :premises (@p134) :args ((or @t109 @t103 (not @t104)))) % 0.42/0.64 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p124) :args (@t103 @t115 (@list @t99 @t104))) % 0.42/0.64 (step @p137 :rule cnf_and_pos :args (@t103 0)) % 0.42/0.64 (step @p138 :rule reordering :premises (@p137) :args ((or @t102 (not @t103)))) % 0.42/0.64 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t102 @t105 (@list @t103))) % 0.42/0.64 (step @p140 :rule eq_resolve :premises (@p139 @p30)) % 0.42/0.64 (step @p141 :rule arith_mult_neg :args (-1 @t110)) % 0.42/0.64 (step @p142 :rule bool-double-not-elim :args (@t110)) % 0.42/0.64 (step @p143 :rule nary_cong :premises (@p128 @p142) :args ((or @t112 (not @t111)))) % 0.42/0.64 (step @p144 :rule cnf_or_neg :args (@t112 0)) % 0.42/0.64 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.42/0.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t110 @t112))) % 0.42/0.64 (step @p147 :rule chain_m_resolution :premises (@p146 @p126) :args (@t110 @t113 @t114)) % 0.42/0.64 (step @p148 :rule evaluate :args ((< -1 0))) % 0.42/0.64 (step @p149 :rule true_elim :premises (@p148)) % 0.42/0.64 (step @p150 :rule and_intro :premises (@p149 @p147)) % 0.42/0.64 (step @p151 :rule modus_ponens :premises (@p150 @p141)) % 0.42/0.64 (step @p152 :rule arith_mult_neg :args (-1 @t116)) % 0.42/0.64 (step @p153 :rule bool-double-not-elim :args (@t116)) % 0.42/0.64 (step @p154 :rule arith_poly_norm :args ((= (* -1 (- 0 @t118)) (* -1 (- @t117 1))))) % 0.42/0.64 (step @p155 :rule arith_poly_norm_rel :premises (@p154) :args ((= (>= 0 @t118) (>= @t117 1)))) % 0.42/0.64 (step @p156 :rule arith-geq-tighten :args (@t59 0)) % 0.42/0.64 (step @p157 :rule trans :premises (@p156 @p155)) % 0.42/0.64 (step @p158 :rule symm :premises (@p157)) % 0.42/0.64 (step @p159 :rule arith_poly_norm :args ((= @t119 @t117))) % 0.42/0.64 (step @p160 :rule cong :premises (@p159 @p6) :args (@t120)) % 0.42/0.64 (step @p161 :rule trans :premises (@p160 @p158)) % 0.42/0.64 (step @p162 :rule cong :premises (@p161) :args (@t121)) % 0.42/0.64 (step @p163 :rule trans :premises (@p162 @p153)) % 0.42/0.64 (step @p164 :rule arith_poly_norm :args ((= (* -1 (- 1 @t124)) (* -1 (- @t122 0))))) % 0.42/0.64 (step @p165 :rule arith_poly_norm_rel :premises (@p164) :args ((= (>= 1 @t124) (>= @t122 0)))) % 0.42/0.64 (step @p166 :rule arith-geq-tighten :args (@t123 1)) % 0.42/0.64 (step @p167 :rule trans :premises (@p166 @p165)) % 0.42/0.64 (step @p168 :rule symm :premises (@p167)) % 0.42/0.64 (step @p169 :rule arith_poly_norm :args ((= @t125 @t122))) % 0.42/0.64 (step @p170 :rule cong :premises (@p169 @p109) :args (@t126)) % 0.42/0.64 (step @p171 :rule trans :premises (@p170 @p168)) % 0.42/0.64 (step @p172 :rule nary_cong :premises (@p171 @p163) :args (@t127)) % 0.42/0.64 (step @p173 :rule refl :args (@t107)) % 0.42/0.64 (step @p174 :rule cong :premises (@p173 @p172) :args (@t128)) % 0.42/0.64 (step @p175 :rule cong :premises (@p116 @p174) :args ((=> @t101 @t128))) % 0.42/0.64 (assume-push @p201 @t101) % 0.42/0.64 (step @p177 :rule instantiate :premises (@p92) :args ((@list @t52 @t44 @t46))) % 0.42/0.64 (step-pop @p202 :rule scope :premises (@p177)) % 0.42/0.64 (step @p178 :rule process_scope :premises (@p202) :args (@t128)) % 0.42/0.64 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.42/0.64 (step @p181 :rule implies_elim :premises (@p180)) % 0.42/0.64 (step @p182 :rule chain_m_resolution :premises (@p181 @p92) :args (@t130 @t105 @t106)) % 0.42/0.64 (step @p183 :rule bool-double-not-elim :args (@t107)) % 0.42/0.64 (step @p184 :rule nary_cong :premises (@p128 @p183) :args ((or @t112 (not @t108)))) % 0.42/0.64 (step @p185 :rule cnf_or_neg :args (@t112 2)) % 0.42/0.64 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.42/0.64 (step @p187 :rule reordering :premises (@p186) :args ((or @t107 @t112))) % 0.42/0.64 (step @p188 :rule chain_m_resolution :premises (@p187 @p126) :args (@t107 @t113 @t114)) % 0.42/0.64 (step @p189 :rule cnf_equiv_pos1 :args (@t130)) % 0.42/0.64 (step @p190 :rule reordering :premises (@p189) :args ((or @t108 @t129 (not @t130)))) % 0.42/0.64 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p182) :args (@t129 @t115 (@list @t107 @t130))) % 0.42/0.64 (step @p192 :rule cnf_and_pos :args (@t129 1)) % 0.42/0.64 (step @p193 :rule reordering :premises (@p192) :args ((or @t116 (not @t129)))) % 0.42/0.64 (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t116 @t105 (@list @t129))) % 0.42/0.64 (step @p195 :rule and_intro :premises (@p149 @p194)) % 0.42/0.64 (step @p196 :rule modus_ponens :premises (@p195 @p152)) % 0.42/0.64 (step @p197 :rule arith_sum_ub :premises (@p196 @p151 @p140)) % 0.42/0.64 (step @p198 false :rule eq_resolve :premises (@p197 @p28)) % 0.42/0.64 ) % 0.42/0.64 % SZS output end Proof % 0.42/0.64 % cvc5 exiting %------------------------------------------------------------------------------