%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT013_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:14:21 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT013_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 22:25:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.39/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort tptp.array 0) % 0.39/0.62 (declare-const tptp.read (-> tptp.array Int Int)) % 0.39/0.62 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.39/0.62 (define @t1 () (@var "W" Int)) % 0.39/0.62 (define @t2 () (@var "V" Int)) % 0.39/0.62 (define @t3 () (@var "U" tptp.array)) % 0.39/0.62 (define @t4 () (@list @t3 @t2 @t1)) % 0.39/0.62 (define @t5 () (@var "Z" Int)) % 0.39/0.62 (define @t6 () (@var "X" tptp.array)) % 0.39/0.62 (define @t7 () (@var "X1" Int)) % 0.39/0.62 (define @t8 () (@var "Y" Int)) % 0.39/0.62 (define @t9 () (tptp.read @t3 @t8)) % 0.39/0.62 (define @t10 () (+ @t2 3)) % 0.39/0.62 (define @t11 () (<= @t10 @t8)) % 0.39/0.62 (define @t12 () (and @t11 (<= @t8 @t1))) % 0.39/0.62 (define @t13 () (=> @t12 (> @t9 0))) % 0.39/0.62 (define @t14 () (@list @t8)) % 0.39/0.62 (define @t15 () (forall @t14 @t13)) % 0.39/0.62 (define @t16 () (@var "X" Int)) % 0.39/0.62 (define @t17 () (tptp.read @t3 @t16)) % 0.39/0.62 (define @t18 () (and (<= @t2 @t16) (<= @t16 @t1))) % 0.39/0.62 (define @t19 () (=> @t18 (> @t17 0))) % 0.39/0.62 (define @t20 () (@list @t16)) % 0.39/0.62 (define @t21 () (forall @t20 @t19)) % 0.39/0.62 (define @t22 () (=> @t21 @t15)) % 0.39/0.62 (define @t23 () (forall @t4 @t22)) % 0.39/0.62 (define @t24 () (not @t23)) % 0.39/0.62 (define @t25 () (* -1 1)) % 0.39/0.62 (define @t26 () (+ @t25 -3)) % 0.39/0.62 (define @t27 () (@var "BOUND_VARIABLE_7509" Int)) % 0.39/0.62 (define @t28 () (>= (tptp.read @t3 @t27) 1)) % 0.39/0.62 (define @t29 () (* -1 @t27)) % 0.39/0.62 (define @t30 () (not (>= (+ @t1 @t29) 0))) % 0.39/0.62 (define @t31 () (>= (+ @t2 @t29) -2)) % 0.39/0.62 (define @t32 () (>= @t17 1)) % 0.39/0.62 (define @t33 () (* -1 @t16)) % 0.39/0.62 (define @t34 () (+ @t1 @t33)) % 0.39/0.62 (define @t35 () (>= @t34 0)) % 0.39/0.62 (define @t36 () (not @t35)) % 0.39/0.62 (define @t37 () (+ @t2 @t33)) % 0.39/0.62 (define @t38 () (>= @t37 1)) % 0.39/0.62 (define @t39 () (or @t38 @t36 @t32)) % 0.39/0.62 (define @t40 () (forall @t20 @t39)) % 0.39/0.62 (define @t41 () (not @t40)) % 0.39/0.62 (define @t42 () (or @t41 @t31 @t30 @t28)) % 0.39/0.62 (define @t43 () (@list @t3 @t2 @t1 @t27)) % 0.39/0.62 (define @t44 () (forall @t43 @t42)) % 0.39/0.62 (define @t45 () (@quantifiers_skolemize @t44 1)) % 0.39/0.62 (define @t46 () (* 0 @t45)) % 0.39/0.62 (define @t47 () (@quantifiers_skolemize @t44 3)) % 0.39/0.62 (define @t48 () (* 0 @t47)) % 0.39/0.62 (define @t49 () (+ @t48 @t46)) % 0.39/0.62 (define @t50 () (* -1 @t47)) % 0.39/0.62 (define @t51 () (+ @t45 @t50)) % 0.39/0.62 (define @t52 () (+ (* -1 @t51) @t51)) % 0.39/0.62 (define @t53 () (or @t31 @t30 @t28)) % 0.39/0.62 (define @t54 () (or @t41 @t53)) % 0.39/0.62 (define @t55 () (forall @t43 @t54)) % 0.39/0.62 (define @t56 () (@list @t27)) % 0.39/0.62 (define @t57 () (forall @t56 @t54)) % 0.39/0.62 (define @t58 () (forall @t56 @t53)) % 0.39/0.62 (define @t59 () (or @t41 @t58)) % 0.39/0.62 (define @t60 () (>= @t9 1)) % 0.39/0.62 (define @t61 () (* -1 @t8)) % 0.39/0.62 (define @t62 () (+ @t1 @t61)) % 0.39/0.62 (define @t63 () (>= @t62 0)) % 0.39/0.62 (define @t64 () (not @t63)) % 0.39/0.62 (define @t65 () (+ @t2 @t61)) % 0.39/0.62 (define @t66 () (>= @t65 -2)) % 0.39/0.62 (define @t67 () (or @t66 @t64 @t60)) % 0.39/0.62 (define @t68 () (forall @t14 @t67)) % 0.39/0.62 (define @t69 () (not @t66)) % 0.39/0.62 (define @t70 () (and @t69 @t63)) % 0.39/0.62 (define @t71 () (+ 0 1)) % 0.39/0.62 (define @t72 () (>= @t9 @t71)) % 0.39/0.62 (define @t73 () (+ @t8 1)) % 0.39/0.62 (define @t74 () (+ 3 @t2)) % 0.39/0.62 (define @t75 () (>= @t74 @t73)) % 0.39/0.62 (define @t76 () (not @t38)) % 0.39/0.62 (define @t77 () (and @t76 @t35)) % 0.39/0.62 (define @t78 () (>= @t17 @t71)) % 0.39/0.62 (define @t79 () (+ @t16 1)) % 0.39/0.62 (define @t80 () (>= @t2 @t79)) % 0.39/0.62 (define @t81 () (@quantifiers_skolemize @t44 0)) % 0.39/0.62 (define @t82 () (>= (tptp.read @t81 @t47) 1)) % 0.39/0.62 (define @t83 () (@quantifiers_skolemize @t44 2)) % 0.39/0.62 (define @t84 () (+ @t83 @t50)) % 0.39/0.62 (define @t85 () (>= @t84 0)) % 0.39/0.62 (define @t86 () (not @t85)) % 0.39/0.62 (define @t87 () (>= @t51 -2)) % 0.39/0.62 (define @t88 () (>= (tptp.read @t81 @t16) 1)) % 0.39/0.62 (define @t89 () (* -1 @t83)) % 0.39/0.62 (define @t90 () (+ @t16 @t89)) % 0.39/0.62 (define @t91 () (>= @t90 1)) % 0.39/0.62 (define @t92 () (* -1 @t45)) % 0.39/0.62 (define @t93 () (+ @t16 @t92)) % 0.39/0.62 (define @t94 () (forall @t20 (or (not (>= @t93 0)) @t91 @t88))) % 0.39/0.62 (define @t95 () (not @t94)) % 0.39/0.62 (define @t96 () (or @t95 @t87 @t86 @t82)) % 0.39/0.62 (define @t97 () (not @t96)) % 0.39/0.62 (define @t98 () (not @t44)) % 0.39/0.62 (define @t99 () (+ @t33 @t83)) % 0.39/0.62 (define @t100 () (+ @t90 1)) % 0.39/0.62 (define @t101 () (+ @t83 @t33)) % 0.39/0.62 (define @t102 () (>= @t101 0)) % 0.39/0.62 (define @t103 () (not @t102)) % 0.39/0.62 (define @t104 () (+ @t33 @t45)) % 0.39/0.62 (define @t105 () (+ @t93 1)) % 0.39/0.62 (define @t106 () (+ @t45 @t33)) % 0.39/0.62 (define @t107 () (>= @t106 1)) % 0.39/0.62 (define @t108 () (or @t107 @t103 @t88)) % 0.39/0.62 (define @t109 () (forall @t20 @t108)) % 0.39/0.62 (define @t110 () (not @t109)) % 0.39/0.62 (define @t111 () (or @t110 @t87 @t86 @t82)) % 0.39/0.62 (define @t112 () (not @t111)) % 0.39/0.62 (define @t113 () (@list true)) % 0.39/0.62 (define @t114 () (@list @t96)) % 0.39/0.62 (define @t115 () (>= @t51 1)) % 0.39/0.62 (define @t116 () (+ @t89 @t47)) % 0.39/0.62 (define @t117 () (+ @t84 1)) % 0.39/0.62 (define @t118 () (+ @t47 @t89)) % 0.39/0.62 (define @t119 () (>= @t118 1)) % 0.39/0.62 (define @t120 () (+ @t92 @t47)) % 0.39/0.62 (define @t121 () (+ @t51 1)) % 0.39/0.62 (define @t122 () (+ @t47 @t92)) % 0.39/0.62 (define @t123 () (>= @t122 0)) % 0.39/0.62 (define @t124 () (not @t123)) % 0.39/0.62 (define @t125 () (or @t124 @t119 @t82)) % 0.39/0.62 (define @t126 () (or @t115 @t86 @t82)) % 0.39/0.62 (assume @p1 (forall @t4 (= (tptp.read (tptp.write @t3 @t2 @t1) @t2) @t1))) % 0.39/0.62 (assume @p2 (forall (@list @t6 @t8 @t5 @t7) (or (= @t8 @t5) (= (tptp.read (tptp.write @t6 @t8 @t7) @t5) (tptp.read @t6 @t5))))) % 0.39/0.62 (assume @p3 @t24) % 0.39/0.62 (assume @p4 true) % 0.39/0.62 (step @p5 :rule evaluate :args ((<= 0 -4))) % 0.39/0.62 (step @p6 :rule evaluate :args ((+ -1 -3))) % 0.39/0.62 (step @p7 :rule refl :args (-3)) % 0.39/0.62 (step @p8 :rule evaluate :args (@t25)) % 0.39/0.62 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t26)) % 0.39/0.62 (step @p10 :rule trans :premises (@p9 @p6)) % 0.39/0.62 (step @p11 :rule evaluate :args ((+ 0 0))) % 0.39/0.62 (step @p12 :rule arith_poly_norm :args ((= @t46 0))) % 0.39/0.62 (step @p13 :rule arith_poly_norm :args ((= @t48 0))) % 0.39/0.62 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t49)) % 0.39/0.62 (step @p15 :rule trans :premises (@p14 @p11)) % 0.39/0.62 (step @p16 :rule arith_poly_norm :args ((= @t52 @t49))) % 0.39/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.62 (step @p18 :rule cong :premises (@p17 @p10) :args ((<= @t52 @t26))) % 0.39/0.62 (step @p19 :rule trans :premises (@p18 @p5)) % 0.39/0.62 (step @p20 :rule arith-elim-lt :args (@t51 -2)) % 0.39/0.62 (step @p21 :rule symm :premises (@p20)) % 0.39/0.62 (step @p22 :rule aci_norm :args ((= @t54 @t42))) % 0.39/0.62 (step @p23 :rule cong :premises (@p22) :args (@t55)) % 0.39/0.62 (step @p24 :rule quant-merge-prenex :args ((= (forall @t4 @t57) @t55))) % 0.39/0.62 (step @p25 :rule alpha_equiv :args (@t58 (@list @t27) (@list @t8))) % 0.39/0.62 (step @p26 :rule refl :args (@t41)) % 0.39/0.62 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t59)) % 0.39/0.62 (step @p28 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.39/0.62 (step @p29 :rule trans :premises (@p28 @p27)) % 0.39/0.62 (step @p30 :rule symm :premises (@p29)) % 0.39/0.62 (step @p31 :rule cong :premises (@p30) :args ((forall @t4 (or @t41 @t68)))) % 0.39/0.62 (step @p32 :rule trans :premises (@p31 @p24)) % 0.39/0.62 (step @p33 :rule trans :premises (@p32 @p23)) % 0.39/0.62 (step @p34 :rule bool-impl-elim :args (@t40 @t68)) % 0.39/0.62 (step @p35 :rule cong :premises (@p34) :args ((forall @t4 (=> @t40 @t68)))) % 0.39/0.62 (step @p36 :rule trans :premises (@p35 @p33)) % 0.39/0.62 (step @p37 :rule aci_norm :args ((= (or (or @t66 @t64) @t60) @t67))) % 0.39/0.62 (step @p38 :rule refl :args (@t60)) % 0.39/0.62 (step @p39 :rule refl :args (@t64)) % 0.39/0.62 (step @p40 :rule bool-double-not-elim :args (@t66)) % 0.39/0.62 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t69) @t64))) % 0.39/0.62 (step @p42 :rule bool-and-de-morgan :args (@t69 @t63 true)) % 0.39/0.62 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.62 (step @p44 :rule nary_cong :premises (@p43 @p38) :args ((or (not @t70) @t60))) % 0.39/0.62 (step @p45 :rule trans :premises (@p44 @p37)) % 0.39/0.62 (step @p46 :rule bool-impl-elim :args (@t70 @t60)) % 0.39/0.62 (step @p47 :rule trans :premises (@p46 @p45)) % 0.39/0.62 (step @p48 :rule cong :premises (@p47) :args ((forall @t14 (=> @t70 @t60)))) % 0.39/0.62 (step @p49 :rule bool-double-not-elim :args (@t60)) % 0.39/0.62 (step @p50 :rule evaluate :args (@t71)) % 0.39/0.62 (step @p51 :rule refl :args (@t9)) % 0.39/0.62 (step @p52 :rule cong :premises (@p51 @p50) :args (@t72)) % 0.39/0.62 (step @p53 :rule cong :premises (@p52) :args ((not @t72))) % 0.39/0.62 (step @p54 :rule arith-leq-norm :args (@t9 0)) % 0.39/0.62 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55) :args ((not (<= @t9 0)))) % 0.39/0.62 (step @p57 :rule trans :premises (@p56 @p49)) % 0.39/0.62 (step @p58 :rule arith-elim-leq :args (@t9 0)) % 0.39/0.62 (step @p59 :rule symm :premises (@p58)) % 0.39/0.62 (step @p60 :rule cong :premises (@p59) :args ((not (>= 0 @t9)))) % 0.39/0.62 (step @p61 :rule arith-elim-gt :args (@t9 0)) % 0.39/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.62 (step @p63 :rule trans :premises (@p62 @p57)) % 0.39/0.62 (step @p64 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t8)) (* 1 (- @t62 0))))) % 0.39/0.62 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= (>= @t1 @t8) @t63))) % 0.39/0.62 (step @p66 :rule arith-elim-leq :args (@t8 @t1)) % 0.39/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.62 (step @p68 :rule arith_poly_norm :args ((= (* 2 (- @t74 @t73)) (* 2 (- @t65 -2))))) % 0.39/0.62 (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= @t75 @t66))) % 0.39/0.62 (step @p70 :rule cong :premises (@p69) :args ((not @t75))) % 0.39/0.62 (step @p71 :rule arith-leq-norm :args (@t74 @t8)) % 0.39/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.39/0.62 (step @p73 :rule refl :args (@t8)) % 0.39/0.62 (step @p74 :rule arith_poly_norm :args ((= @t10 @t74))) % 0.39/0.62 (step @p75 :rule cong :premises (@p74 @p73) :args (@t11)) % 0.39/0.62 (step @p76 :rule trans :premises (@p75 @p72)) % 0.39/0.62 (step @p77 :rule nary_cong :premises (@p76 @p67) :args (@t12)) % 0.39/0.62 (step @p78 :rule cong :premises (@p77 @p63) :args (@t13)) % 0.39/0.62 (step @p79 :rule cong :premises (@p78) :args (@t15)) % 0.39/0.62 (step @p80 :rule trans :premises (@p79 @p48)) % 0.39/0.62 (step @p81 :rule aci_norm :args ((= (or (or @t38 @t36) @t32) @t39))) % 0.39/0.62 (step @p82 :rule refl :args (@t32)) % 0.39/0.62 (step @p83 :rule refl :args (@t36)) % 0.39/0.62 (step @p84 :rule bool-double-not-elim :args (@t38)) % 0.39/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t76) @t36))) % 0.39/0.62 (step @p86 :rule bool-and-de-morgan :args (@t76 @t35 true)) % 0.39/0.62 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.62 (step @p88 :rule nary_cong :premises (@p87 @p82) :args ((or (not @t77) @t32))) % 0.39/0.62 (step @p89 :rule trans :premises (@p88 @p81)) % 0.39/0.62 (step @p90 :rule bool-impl-elim :args (@t77 @t32)) % 0.39/0.62 (step @p91 :rule trans :premises (@p90 @p89)) % 0.39/0.62 (step @p92 :rule cong :premises (@p91) :args ((forall @t20 (=> @t77 @t32)))) % 0.39/0.62 (step @p93 :rule bool-double-not-elim :args (@t32)) % 0.39/0.62 (step @p94 :rule refl :args (@t17)) % 0.39/0.62 (step @p95 :rule cong :premises (@p94 @p50) :args (@t78)) % 0.39/0.62 (step @p96 :rule cong :premises (@p95) :args ((not @t78))) % 0.39/0.62 (step @p97 :rule arith-leq-norm :args (@t17 0)) % 0.39/0.62 (step @p98 :rule trans :premises (@p97 @p96)) % 0.39/0.62 (step @p99 :rule cong :premises (@p98) :args ((not (<= @t17 0)))) % 0.39/0.62 (step @p100 :rule trans :premises (@p99 @p93)) % 0.39/0.62 (step @p101 :rule arith-elim-leq :args (@t17 0)) % 0.39/0.62 (step @p102 :rule symm :premises (@p101)) % 0.39/0.62 (step @p103 :rule cong :premises (@p102) :args ((not (>= 0 @t17)))) % 0.39/0.62 (step @p104 :rule arith-elim-gt :args (@t17 0)) % 0.39/0.62 (step @p105 :rule trans :premises (@p104 @p103)) % 0.39/0.62 (step @p106 :rule trans :premises (@p105 @p100)) % 0.39/0.62 (step @p107 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t16)) (* 1 (- @t34 0))))) % 0.39/0.62 (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= (>= @t1 @t16) @t35))) % 0.39/0.62 (step @p109 :rule arith-elim-leq :args (@t16 @t1)) % 0.39/0.62 (step @p110 :rule trans :premises (@p109 @p108)) % 0.39/0.62 (step @p111 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t79)) (* -1 (- @t37 1))))) % 0.39/0.62 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= @t80 @t38))) % 0.39/0.62 (step @p113 :rule cong :premises (@p112) :args ((not @t80))) % 0.39/0.62 (step @p114 :rule arith-leq-norm :args (@t2 @t16)) % 0.39/0.62 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.62 (step @p116 :rule nary_cong :premises (@p115 @p110) :args (@t18)) % 0.39/0.62 (step @p117 :rule cong :premises (@p116 @p106) :args (@t19)) % 0.39/0.62 (step @p118 :rule cong :premises (@p117) :args (@t21)) % 0.39/0.62 (step @p119 :rule trans :premises (@p118 @p92)) % 0.39/0.62 (step @p120 :rule cong :premises (@p119 @p80) :args (@t22)) % 0.39/0.62 (step @p121 :rule cong :premises (@p120) :args (@t23)) % 0.39/0.62 (step @p122 :rule trans :premises (@p121 @p36)) % 0.39/0.62 (step @p123 :rule cong :premises (@p122) :args (@t24)) % 0.39/0.62 (step @p124 :rule eq_resolve :premises (@p3 @p123)) % 0.39/0.62 (step @p125 :rule refl :args (@t97)) % 0.39/0.62 (step @p126 :rule bool-double-not-elim :args (@t44)) % 0.39/0.62 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t98) @t97))) % 0.39/0.62 (step @p128 :rule refl :args (@t82)) % 0.39/0.62 (step @p129 :rule refl :args (@t86)) % 0.39/0.62 (step @p130 :rule refl :args (@t87)) % 0.39/0.62 (step @p131 :rule refl :args (@t88)) % 0.39/0.62 (step @p132 :rule bool-double-not-elim :args (@t91)) % 0.39/0.62 (step @p133 :rule arith_poly_norm :args ((= (* -1 (- 1 @t100)) (* -1 (- @t99 0))))) % 0.39/0.62 (step @p134 :rule arith_poly_norm_rel :premises (@p133) :args ((= (>= 1 @t100) (>= @t99 0)))) % 0.39/0.62 (step @p135 :rule arith-geq-tighten :args (@t90 1)) % 0.39/0.62 (step @p136 :rule trans :premises (@p135 @p134)) % 0.39/0.62 (step @p137 :rule symm :premises (@p136)) % 0.39/0.62 (step @p138 :rule refl :args (0)) % 0.39/0.62 (step @p139 :rule arith_poly_norm :args ((= @t101 @t99))) % 0.39/0.62 (step @p140 :rule cong :premises (@p139 @p138) :args (@t102)) % 0.39/0.62 (step @p141 :rule trans :premises (@p140 @p137)) % 0.39/0.62 (step @p142 :rule cong :premises (@p141) :args (@t103)) % 0.39/0.62 (step @p143 :rule trans :premises (@p142 @p132)) % 0.39/0.62 (step @p144 :rule arith_poly_norm :args ((= (* -1 (- 0 @t105)) (* -1 (- @t104 1))))) % 0.39/0.62 (step @p145 :rule arith_poly_norm_rel :premises (@p144) :args ((= (>= 0 @t105) (>= @t104 1)))) % 0.39/0.62 (step @p146 :rule arith-geq-tighten :args (@t93 0)) % 0.39/0.62 (step @p147 :rule trans :premises (@p146 @p145)) % 0.39/0.62 (step @p148 :rule symm :premises (@p147)) % 0.39/0.62 (step @p149 :rule refl :args (1)) % 0.39/0.62 (step @p150 :rule arith_poly_norm :args ((= @t106 @t104))) % 0.39/0.62 (step @p151 :rule cong :premises (@p150 @p149) :args (@t107)) % 0.39/0.62 (step @p152 :rule trans :premises (@p151 @p148)) % 0.39/0.62 (step @p153 :rule nary_cong :premises (@p152 @p143 @p131) :args (@t108)) % 0.39/0.62 (step @p154 :rule cong :premises (@p153) :args (@t109)) % 0.39/0.62 (step @p155 :rule cong :premises (@p154) :args (@t110)) % 0.39/0.62 (step @p156 :rule nary_cong :premises (@p155 @p130 @p129 @p128) :args (@t111)) % 0.39/0.62 (step @p157 :rule cong :premises (@p156) :args (@t112)) % 0.39/0.62 (step @p158 :rule refl :args (@t98)) % 0.39/0.62 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t98 @t112))) % 0.39/0.62 (assume-push @p226 @t98) % 0.39/0.62 (step @p161 :rule skolemize :premises (@p124)) % 0.39/0.62 (step-pop @p227 :rule scope :premises (@p161)) % 0.39/0.62 (step @p162 :rule process_scope :premises (@p227) :args (@t112)) % 0.39/0.62 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.39/0.62 (step @p165 :rule implies_elim :premises (@p164)) % 0.39/0.62 (step @p166 :rule eq_resolve :premises (@p165 @p127)) % 0.39/0.62 (step @p167 :rule chain_m_resolution :premises (@p166 @p124) :args (@t97 @t113 (@list @t44))) % 0.39/0.62 (step @p168 :rule cnf_or_neg :args (@t96 1)) % 0.39/0.62 (step @p169 :rule chain_m_resolution :premises (@p168 @p167) :args ((not @t87) @t113 @t114)) % 0.39/0.62 (step @p170 :rule eq_resolve :premises (@p169 @p21)) % 0.39/0.62 (step @p171 :rule int_tight_ub :premises (@p170)) % 0.39/0.62 (step @p172 :rule arith_mult_neg :args (-1 @t115)) % 0.39/0.62 (step @p173 :rule bool-double-not-elim :args (@t94)) % 0.39/0.62 (step @p174 :rule refl :args (@t96)) % 0.39/0.62 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t96 (not @t95)))) % 0.39/0.62 (step @p176 :rule cnf_or_neg :args (@t96 0)) % 0.39/0.62 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.39/0.62 (step @p178 :rule reordering :premises (@p177) :args ((or @t94 @t96))) % 0.39/0.62 (step @p179 :rule chain_m_resolution :premises (@p178 @p167) :args (@t94 @t113 @t114)) % 0.39/0.62 (step @p180 :rule arith_poly_norm :args ((= (* -1 (- 0 @t117)) (* -1 (- @t116 1))))) % 0.39/0.62 (step @p181 :rule arith_poly_norm_rel :premises (@p180) :args ((= (>= 0 @t117) (>= @t116 1)))) % 0.39/0.62 (step @p182 :rule arith-geq-tighten :args (@t84 0)) % 0.39/0.62 (step @p183 :rule trans :premises (@p182 @p181)) % 0.39/0.62 (step @p184 :rule symm :premises (@p183)) % 0.39/0.62 (step @p185 :rule arith_poly_norm :args ((= @t118 @t116))) % 0.39/0.62 (step @p186 :rule cong :premises (@p185 @p149) :args (@t119)) % 0.39/0.62 (step @p187 :rule trans :premises (@p186 @p184)) % 0.39/0.62 (step @p188 :rule bool-double-not-elim :args (@t115)) % 0.39/0.62 (step @p189 :rule arith_poly_norm :args ((= (* -1 (- 1 @t121)) (* -1 (- @t120 0))))) % 0.39/0.62 (step @p190 :rule arith_poly_norm_rel :premises (@p189) :args ((= (>= 1 @t121) (>= @t120 0)))) % 0.39/0.62 (step @p191 :rule arith-geq-tighten :args (@t51 1)) % 0.39/0.62 (step @p192 :rule trans :premises (@p191 @p190)) % 0.39/0.62 (step @p193 :rule symm :premises (@p192)) % 0.39/0.62 (step @p194 :rule arith_poly_norm :args ((= @t122 @t120))) % 0.39/0.62 (step @p195 :rule cong :premises (@p194 @p138) :args (@t123)) % 0.39/0.62 (step @p196 :rule trans :premises (@p195 @p193)) % 0.39/0.62 (step @p197 :rule cong :premises (@p196) :args (@t124)) % 0.39/0.62 (step @p198 :rule trans :premises (@p197 @p188)) % 0.39/0.62 (step @p199 :rule nary_cong :premises (@p198 @p187 @p128) :args (@t125)) % 0.39/0.62 (step @p200 :rule refl :args (@t94)) % 0.39/0.62 (step @p201 :rule cong :premises (@p200 @p199) :args ((=> @t94 @t125))) % 0.39/0.62 (assume-push @p228 @t94) % 0.39/0.62 (step @p203 :rule instantiate :premises (@p179) :args ((@list @t47))) % 0.39/0.62 (step-pop @p229 :rule scope :premises (@p203)) % 0.39/0.62 (step @p204 :rule process_scope :premises (@p229) :args (@t125)) % 0.39/0.62 (step @p206 :rule eq_resolve :premises (@p204 @p201)) % 0.39/0.62 (step @p207 :rule implies_elim :premises (@p206)) % 0.39/0.62 (step @p208 :rule chain_m_resolution :premises (@p207 @p179) :args (@t126 (@list false) (@list @t94))) % 0.39/0.62 (step @p209 :rule cnf_or_neg :args (@t96 3)) % 0.39/0.62 (step @p210 :rule chain_m_resolution :premises (@p209 @p167) :args ((not @t82) @t113 @t114)) % 0.39/0.62 (step @p211 :rule bool-double-not-elim :args (@t85)) % 0.39/0.62 (step @p212 :rule nary_cong :premises (@p174 @p211) :args ((or @t96 (not @t86)))) % 0.39/0.62 (step @p213 :rule cnf_or_neg :args (@t96 2)) % 0.39/0.62 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.39/0.62 (step @p215 :rule reordering :premises (@p214) :args ((or @t85 @t96))) % 0.39/0.62 (step @p216 :rule chain_m_resolution :premises (@p215 @p167) :args (@t85 @t113 @t114)) % 0.39/0.62 (step @p217 :rule cnf_or_pos :args (@t126)) % 0.39/0.62 (step @p218 :rule reordering :premises (@p217) :args ((or @t86 @t82 @t115 (not @t126)))) % 0.39/0.62 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p210 @p208) :args (@t115 (@list false true false) (@list @t85 @t82 @t126))) % 0.39/0.62 (step @p220 :rule evaluate :args ((< -1 0))) % 0.39/0.62 (step @p221 :rule true_elim :premises (@p220)) % 0.39/0.62 (step @p222 :rule and_intro :premises (@p221 @p219)) % 0.39/0.62 (step @p223 :rule modus_ponens :premises (@p222 @p172)) % 0.39/0.62 (step @p224 :rule arith_sum_ub :premises (@p223 @p171)) % 0.39/0.62 (step @p225 false :rule eq_resolve :premises (@p224 @p19)) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------