%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT005_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 : 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 08:14:20 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT005_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 % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:25:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----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 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.39/0.62 (define @t5 () (= @t4 @t1)) % 0.39/0.62 (define @t6 () (@list @t3 @t2 @t1)) % 0.39/0.62 (define @t7 () (forall @t6 @t5)) % 0.39/0.62 (define @t8 () (@var "Z" Int)) % 0.39/0.62 (define @t9 () (@var "X" tptp.array)) % 0.39/0.62 (define @t10 () (@var "X1" Int)) % 0.39/0.62 (define @t11 () (@var "Y" Int)) % 0.39/0.62 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.39/0.62 (define @t13 () (tptp.read @t3 @t1)) % 0.39/0.62 (define @t14 () (and (<= 33 @t13) (<= @t13 44))) % 0.39/0.62 (define @t15 () (@var "V" tptp.array)) % 0.39/0.62 (define @t16 () (tptp.write (tptp.write (tptp.write (tptp.write @t15 3 33) 4 444) 5 55) 4 44)) % 0.39/0.62 (define @t17 () (= @t3 @t16)) % 0.39/0.62 (define @t18 () (and @t17 (<= 3 @t1) (<= @t1 4))) % 0.39/0.62 (define @t19 () (=> @t18 @t14)) % 0.39/0.62 (define @t20 () (@list @t3 @t15 @t1)) % 0.39/0.62 (define @t21 () (forall @t20 @t19)) % 0.39/0.62 (define @t22 () (not @t21)) % 0.39/0.62 (define @t23 () (tptp.read @t16 @t1)) % 0.39/0.62 (define @t24 () (and (>= @t23 33) (not (>= @t23 45)))) % 0.39/0.62 (define @t25 () (>= @t1 5)) % 0.39/0.62 (define @t26 () (>= @t1 3)) % 0.39/0.62 (define @t27 () (not @t26)) % 0.39/0.62 (define @t28 () (or @t27 @t25 @t24)) % 0.39/0.62 (define @t29 () (not (= @t16 @t16))) % 0.39/0.62 (define @t30 () (or @t29 @t27 @t25 @t24)) % 0.39/0.62 (define @t31 () (@list @t15 @t1)) % 0.39/0.62 (define @t32 () (and (>= @t13 33) (not (>= @t13 45)))) % 0.39/0.62 (define @t33 () (not @t17)) % 0.39/0.62 (define @t34 () (or @t33 @t33 @t27 @t25 @t32)) % 0.39/0.62 (define @t35 () (@list @t3)) % 0.39/0.62 (define @t36 () (or @t33 @t27 @t25 @t32)) % 0.39/0.62 (define @t37 () (forall @t35 @t36)) % 0.39/0.62 (define @t38 () (forall @t31 @t37)) % 0.39/0.62 (define @t39 () (forall (@list @t15 @t1 @t3) @t36)) % 0.39/0.62 (define @t40 () (not @t25)) % 0.39/0.62 (define @t41 () (not @t40)) % 0.39/0.62 (define @t42 () (or @t33 @t27 @t41)) % 0.39/0.62 (define @t43 () (and @t17 @t26 @t40)) % 0.39/0.62 (define @t44 () (+ 44 1)) % 0.39/0.62 (define @t45 () (>= @t13 @t44)) % 0.39/0.62 (define @t46 () (+ 4 1)) % 0.39/0.62 (define @t47 () (>= @t1 @t46)) % 0.39/0.62 (define @t48 () (forall @t31 @t28)) % 0.39/0.62 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.39/0.62 (define @t50 () (>= @t49 3)) % 0.39/0.62 (define @t51 () (@quantifiers_skolemize @t48 0)) % 0.39/0.62 (define @t52 () (tptp.write @t51 3 33)) % 0.39/0.62 (define @t53 () (tptp.write @t52 4 444)) % 0.39/0.62 (define @t54 () (tptp.write @t53 5 55)) % 0.39/0.62 (define @t55 () (tptp.write @t54 4 44)) % 0.39/0.62 (define @t56 () (tptp.read @t55 @t49)) % 0.39/0.62 (define @t57 () (>= @t56 45)) % 0.39/0.62 (define @t58 () (not @t57)) % 0.39/0.62 (define @t59 () (>= @t56 33)) % 0.39/0.62 (define @t60 () (and @t59 @t58)) % 0.39/0.62 (define @t61 () (>= @t49 5)) % 0.39/0.62 (define @t62 () (not @t50)) % 0.39/0.62 (define @t63 () (or @t62 @t61 @t60)) % 0.39/0.62 (define @t64 () (@list true)) % 0.39/0.62 (define @t65 () (@list @t63)) % 0.39/0.62 (define @t66 () (not @t61)) % 0.39/0.62 (define @t67 () (= @t1 @t4)) % 0.39/0.62 (define @t68 () (tptp.read @t52 3)) % 0.39/0.62 (define @t69 () (= @t68 33)) % 0.39/0.62 (define @t70 () (= 33 @t68)) % 0.39/0.62 (define @t71 () (forall @t6 @t67)) % 0.39/0.62 (define @t72 () (@list @t51 3 33)) % 0.39/0.62 (define @t73 () (@list false)) % 0.39/0.62 (define @t74 () (@list @t71)) % 0.39/0.62 (define @t75 () (tptp.read @t55 4)) % 0.39/0.62 (define @t76 () (= @t75 44)) % 0.39/0.62 (define @t77 () (= 44 @t75)) % 0.39/0.62 (define @t78 () (@list @t54 4 44)) % 0.39/0.62 (define @t79 () (= @t49 4)) % 0.39/0.62 (define @t80 () (not @t79)) % 0.39/0.62 (define @t81 () (not @t76)) % 0.39/0.62 (define @t82 () (not @t59)) % 0.39/0.62 (define @t83 () (not @t82)) % 0.39/0.62 (define @t84 () (= 44 @t56)) % 0.39/0.62 (define @t85 () (= @t56 44)) % 0.39/0.62 (define @t86 () (<= 0 -12)) % 0.39/0.62 (define @t87 () (* -1 44)) % 0.39/0.62 (define @t88 () (+ @t87 32)) % 0.39/0.62 (define @t89 () (* -1 @t56)) % 0.39/0.62 (define @t90 () (+ @t89 @t56)) % 0.39/0.62 (define @t91 () (= @t90 0)) % 0.39/0.62 (define @t92 () (< -1 0)) % 0.39/0.62 (define @t93 () (= 4 @t49)) % 0.39/0.62 (define @t94 () (and @t84 @t82)) % 0.39/0.62 (define @t95 () (<= 0 -1)) % 0.39/0.62 (define @t96 () (* -1 45)) % 0.39/0.62 (define @t97 () (+ 44 @t96)) % 0.39/0.62 (define @t98 () (+ @t56 @t89)) % 0.39/0.62 (define @t99 () (= @t98 0)) % 0.39/0.62 (define @t100 () (and @t84 @t57)) % 0.39/0.62 (define @t101 () (tptp.read @t54 @t49)) % 0.39/0.62 (define @t102 () (= @t56 @t101)) % 0.39/0.62 (define @t103 () (or @t93 @t102)) % 0.39/0.62 (define @t104 () (or @t79 @t102)) % 0.39/0.62 (define @t105 () (@list @t12)) % 0.39/0.62 (define @t106 () (@list true false)) % 0.39/0.62 (define @t107 () (tptp.read @t53 @t49)) % 0.39/0.62 (define @t108 () (= @t107 (tptp.read @t52 @t49))) % 0.39/0.62 (define @t109 () (or @t93 @t108)) % 0.39/0.62 (define @t110 () (or @t79 @t108)) % 0.39/0.62 (define @t111 () (= @t101 @t107)) % 0.39/0.62 (define @t112 () (= @t49 5)) % 0.39/0.62 (define @t113 () (= 5 @t49)) % 0.39/0.62 (define @t114 () (or @t113 @t111)) % 0.39/0.62 (define @t115 () (or @t112 @t111)) % 0.39/0.62 (define @t116 () (not @t112)) % 0.39/0.62 (define @t117 () (not @t80)) % 0.39/0.62 (define @t118 () (not @t66)) % 0.39/0.62 (define @t119 () (= 3 @t49)) % 0.39/0.62 (define @t120 () (and @t50 @t66 @t80)) % 0.39/0.62 (define @t121 () (not @t108)) % 0.39/0.62 (define @t122 () (not @t111)) % 0.39/0.62 (define @t123 () (not @t102)) % 0.39/0.62 (define @t124 () (not @t69)) % 0.39/0.62 (define @t125 () (= 33 @t56)) % 0.39/0.62 (define @t126 () (+ @t96 33)) % 0.39/0.62 (define @t127 () (= 33 @t107)) % 0.39/0.62 (define @t128 () (and @t50 @t66 @t69 @t102 @t80 @t111 @t108)) % 0.39/0.62 (define @t129 () (+ 32 1)) % 0.39/0.62 (define @t130 () (>= @t56 @t129)) % 0.39/0.62 (define @t131 () (<= @t56 32)) % 0.39/0.62 (define @t132 () (* -1 33)) % 0.39/0.62 (define @t133 () (+ 32 @t132)) % 0.39/0.62 (define @t134 () (and @t82 @t125)) % 0.39/0.62 (assume @p1 @t7) % 0.39/0.62 (assume @p2 @t12) % 0.39/0.62 (assume @p3 @t22) % 0.39/0.62 (assume @p4 true) % 0.39/0.62 (step @p5 :rule aci_norm :args ((= (or false @t27 @t25 @t24) @t28))) % 0.39/0.62 (step @p6 :rule refl :args (@t24)) % 0.39/0.62 (step @p7 :rule refl :args (@t25)) % 0.39/0.62 (step @p8 :rule refl :args (@t27)) % 0.39/0.62 (step @p9 :rule evaluate :args ((not true))) % 0.39/0.62 (step @p10 :rule eq-refl :args (@t16)) % 0.39/0.62 (step @p11 :rule cong :premises (@p10) :args (@t29)) % 0.39/0.62 (step @p12 :rule trans :premises (@p11 @p9)) % 0.39/0.62 (step @p13 :rule nary_cong :premises (@p12 @p8 @p7 @p6) :args (@t30)) % 0.39/0.62 (step @p14 :rule trans :premises (@p13 @p5)) % 0.39/0.62 (step @p15 :rule cong :premises (@p14) :args ((forall @t31 @t30))) % 0.39/0.62 (step @p16 :rule quant-var-elim-eq :args ((= (forall @t35 @t34) @t30))) % 0.39/0.62 (step @p17 :rule aci_norm :args ((= @t36 @t34))) % 0.39/0.62 (step @p18 :rule cong :premises (@p17) :args (@t37)) % 0.39/0.62 (step @p19 :rule trans :premises (@p18 @p16)) % 0.39/0.62 (step @p20 :rule cong :premises (@p19) :args (@t38)) % 0.39/0.62 (step @p21 :rule quant-merge-prenex :args ((= @t38 @t39))) % 0.39/0.62 (step @p22 :rule symm :premises (@p21)) % 0.39/0.62 (step @p23 :rule quant_var_reordering :args ((= (forall @t20 @t36) @t39))) % 0.39/0.62 (step @p24 :rule trans :premises (@p23 @p22 @p20)) % 0.39/0.62 (step @p25 :rule trans :premises (@p24 @p15)) % 0.39/0.62 (step @p26 :rule aci_norm :args ((= (or (or @t33 @t27 @t25) @t32) @t36))) % 0.39/0.62 (step @p27 :rule refl :args (@t32)) % 0.39/0.62 (step @p28 :rule bool-double-not-elim :args (@t25)) % 0.39/0.62 (step @p29 :rule refl :args (@t27)) % 0.39/0.62 (step @p30 :rule refl :args (@t33)) % 0.39/0.62 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t42)) % 0.39/0.62 (step @p32 :rule aci_norm :args ((= (or @t33 (or @t27 @t41)) @t42))) % 0.39/0.62 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.62 (step @p34 :rule bool-and-de-morgan :args (@t26 @t40 true)) % 0.39/0.62 (step @p35 :rule nary_cong :premises (@p30 @p34) :args ((or @t33 (not (and @t26 @t40))))) % 0.39/0.62 (step @p36 :rule bool-and-de-morgan :args (@t17 @t26 (and @t40))) % 0.39/0.62 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.62 (step @p38 :rule trans :premises (@p37 @p33)) % 0.39/0.62 (step @p39 :rule nary_cong :premises (@p38 @p27) :args ((or (not @t43) @t32))) % 0.39/0.62 (step @p40 :rule trans :premises (@p39 @p26)) % 0.39/0.62 (step @p41 :rule bool-impl-elim :args (@t43 @t32)) % 0.39/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.62 (step @p43 :rule cong :premises (@p42) :args ((forall @t20 (=> @t43 @t32)))) % 0.39/0.62 (step @p44 :rule trans :premises (@p43 @p25)) % 0.39/0.62 (step @p45 :rule evaluate :args (@t44)) % 0.39/0.62 (step @p46 :rule refl :args (@t13)) % 0.39/0.62 (step @p47 :rule cong :premises (@p46 @p45) :args (@t45)) % 0.39/0.62 (step @p48 :rule cong :premises (@p47) :args ((not @t45))) % 0.39/0.62 (step @p49 :rule arith-leq-norm :args (@t13 44)) % 0.39/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.62 (step @p51 :rule arith-elim-leq :args (33 @t13)) % 0.39/0.62 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t14)) % 0.39/0.62 (step @p53 :rule evaluate :args (@t46)) % 0.39/0.62 (step @p54 :rule refl :args (@t1)) % 0.39/0.62 (step @p55 :rule cong :premises (@p54 @p53) :args (@t47)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55) :args ((not @t47))) % 0.39/0.62 (step @p57 :rule arith-leq-norm :args (@t1 4)) % 0.39/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.62 (step @p59 :rule arith-elim-leq :args (3 @t1)) % 0.39/0.62 (step @p60 :rule refl :args (@t17)) % 0.39/0.62 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t18)) % 0.39/0.62 (step @p62 :rule cong :premises (@p61 @p52) :args (@t19)) % 0.39/0.62 (step @p63 :rule cong :premises (@p62) :args (@t21)) % 0.39/0.62 (step @p64 :rule trans :premises (@p63 @p44)) % 0.39/0.62 (step @p65 :rule cong :premises (@p64) :args (@t22)) % 0.39/0.62 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 0.39/0.62 (step @p67 :rule skolemize :premises (@p66)) % 0.39/0.62 (step @p68 :rule bool-double-not-elim :args (@t50)) % 0.39/0.62 (step @p69 :rule refl :args (@t63)) % 0.39/0.62 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t63 (not @t62)))) % 0.39/0.62 (step @p71 :rule cnf_or_neg :args (@t63 0)) % 0.39/0.62 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.39/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t50 @t63))) % 0.39/0.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t50 @t64 @t65)) % 0.39/0.62 (step @p75 :rule cnf_or_neg :args (@t63 1)) % 0.39/0.62 (step @p76 :rule chain_m_resolution :premises (@p75 @p67) :args (@t66 @t64 @t65)) % 0.39/0.62 (step @p77 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.39/0.62 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= @t5 @t67))) % 0.39/0.62 (step @p79 :rule cong :premises (@p78) :args (@t7)) % 0.39/0.62 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 0.39/0.62 (step @p81 :rule arith_poly_norm :args ((= (* -33 (- 33 @t68)) (* 33 (- @t68 33))))) % 0.39/0.62 (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t70 @t69))) % 0.39/0.62 (step @p83 :rule refl :args (@t71)) % 0.39/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t71 @t70))) % 0.39/0.62 (assume-push @p487 @t71) % 0.39/0.62 (step @p86 :rule instantiate :premises (@p80) :args (@t72)) % 0.39/0.62 (step-pop @p488 :rule scope :premises (@p86)) % 0.39/0.62 (step @p87 :rule process_scope :premises (@p488) :args (@t70)) % 0.39/0.62 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.39/0.62 (step @p90 :rule implies_elim :premises (@p89)) % 0.39/0.62 (step @p91 :rule chain_m_resolution :premises (@p90 @p80) :args (@t69 @t73 @t74)) % 0.39/0.62 (step @p92 :rule arith_poly_norm :args ((= (* -44 (- 44 @t75)) (* 44 (- @t75 44))))) % 0.39/0.62 (step @p93 :rule arith_poly_norm_rel :premises (@p92) :args ((= @t77 @t76))) % 0.39/0.62 (step @p94 :rule cong :premises (@p83 @p93) :args ((=> @t71 @t77))) % 0.39/0.62 (assume-push @p489 @t71) % 0.39/0.62 (step @p96 :rule instantiate :premises (@p80) :args (@t78)) % 0.39/0.62 (step-pop @p490 :rule scope :premises (@p96)) % 0.39/0.62 (step @p97 :rule process_scope :premises (@p490) :args (@t77)) % 0.39/0.62 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.39/0.62 (step @p100 :rule implies_elim :premises (@p99)) % 0.39/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p80) :args (@t76 @t73 @t74)) % 0.39/0.62 (step @p102 :rule refl :args (@t80)) % 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(step @p286 :rule arith_trichotomy :premises (@p74 @p285)) % 0.39/0.63 (step @p287 :rule symm :premises (@p286)) % 0.39/0.63 (step-pop @p573 :rule scope :premises (@p287)) % 0.39/0.63 (step-pop @p574 :rule scope :premises (@p573)) % 0.39/0.63 (step-pop @p575 :rule scope :premises (@p574)) % 0.39/0.63 (step @p365 :rule process_scope :premises (@p575) :args (@t119)) % 0.39/0.63 (step @p369 :rule and_intro :premises (@p74 @p76 @p551)) % 0.39/0.63 (step @p370 :rule modus_ponens :premises (@p369 @p365)) % 0.39/0.63 (step @p371 :rule and_intro :premises (@p553 @p370 @p86)) % 0.39/0.63 (step @p372 :rule modus_ponens :premises (@p371 @p358)) % 0.39/0.63 (step @p373 :rule and_intro :premises (@p550 @p552 @p372)) % 0.39/0.63 (step @p374 :rule modus_ponens :premises (@p373 @p347)) % 0.39/0.63 (step @p375 :rule modus_ponens :premises (@p374 @p339)) % 0.39/0.63 (step-pop @p576 :rule scope :premises (@p375)) % 0.39/0.63 (step-pop @p577 :rule scope :premises (@p576)) % 0.39/0.63 (step-pop @p578 :rule scope :premises (@p577)) % 0.39/0.63 (step-pop @p579 :rule scope :premises (@p578)) % 0.39/0.63 (step-pop @p580 :rule scope :premises (@p579)) % 0.39/0.63 (step-pop @p581 :rule scope :premises (@p580)) % 0.39/0.63 (step-pop @p582 :rule scope :premises (@p581)) % 0.39/0.63 (step @p376 :rule process_scope :premises (@p582) :args (@t58)) % 0.39/0.63 (step @p384 :rule implies_elim :premises (@p376)) % 0.39/0.63 (step @p385 :rule cnf_and_neg :args (@t128)) % 0.39/0.63 (step @p386 :rule resolution :premises (@p385 @p384) :args (true @t128)) % 0.39/0.63 (step @p387 :rule eq_resolve :premises (@p386 @p312)) % 0.39/0.63 (step @p388 :rule reordering :premises (@p387) :args ((or @t62 @t61 @t58 @t79 @t124 @t123 @t122 @t121))) % 0.39/0.63 (step @p389 :rule chain_m_resolution :premises (@p388 @p74 @p76 @p218 @p91 @p234 @p306 @p247) :args (@t58 (@list false true true false false false false) (@list @t50 @t61 @t79 @t69 @t102 @t111 @t108))) % 0.39/0.63 (step @p390 :rule chain_m_resolution :premises (@p171 @p389 @p164) :args (@t82 (@list true true) (@list @t57 @t60))) % 0.39/0.63 (step @p391 :rule nary_cong :premises (@p263 @p262 @p104 @p311 @p310 @p261 @p309 @p308) :args ((or @t62 @t118 @t83 @t124 @t123 @t117 @t122 @t121))) % 0.39/0.63 (assume-push @p583 @t82) % 0.39/0.63 (assume-push @p584 @t125) % 0.39/0.63 (step @p394 :rule evaluate :args (@t129)) % 0.39/0.63 (step @p395 :rule refl :args (@t56)) % 0.39/0.63 (step @p396 :rule cong :premises (@p395 @p394) :args (@t130)) % 0.39/0.63 (step @p397 :rule cong :premises (@p396) :args ((not @t130))) % 0.39/0.63 (step @p398 :rule arith-leq-norm :args (@t56 32)) % 0.39/0.63 (step @p399 :rule trans :premises (@p398 @p397)) % 0.39/0.63 (step @p400 :rule cong :premises (@p399) :args ((not @t131))) % 0.39/0.63 (step @p401 :rule trans :premises (@p400 @p104)) % 0.39/0.63 (step @p402 :rule arith-elim-leq :args (@t56 32)) % 0.39/0.63 (step @p403 :rule symm :premises (@p402)) % 0.39/0.63 (step @p404 :rule cong :premises (@p403) :args ((not (>= 32 @t56)))) % 0.39/0.63 (step @p405 :rule arith-elim-gt :args (@t56 32)) % 0.39/0.63 (step @p406 :rule trans :premises (@p405 @p404)) % 0.39/0.63 (step @p407 :rule trans :premises (@p406 @p401)) % 0.39/0.63 (step @p408 :rule cong :premises (@p407) :args ((not (> @t56 32)))) % 0.39/0.63 (step @p409 :rule symm :premises (@p408)) % 0.39/0.63 (step @p410 :rule trans :premises (@p399 @p409)) % 0.39/0.63 (step @p118 :rule arith-elim-lt :args (@t56 33)) % 0.39/0.63 (step @p119 :rule symm :premises (@p118)) % 0.39/0.63 (step @p411 :rule eq_resolve :premises (@p583 @p119)) % 0.39/0.63 (step @p412 :rule int_tight_ub :premises (@p411)) % 0.39/0.63 (step @p413 :rule eq_resolve :premises (@p412 @p410)) % 0.39/0.63 (step @p414 :rule symm :premises (@p407)) % 0.39/0.63 (step @p415 :rule trans :premises (@p401 @p414)) % 0.39/0.63 (assume-push @p585 @t131) % 0.39/0.63 (step @p175 :rule evaluate :args (@t95)) % 0.39/0.63 (step @p417 :rule evaluate :args ((+ 32 -33))) % 0.39/0.63 (step @p418 :rule evaluate :args (@t132)) % 0.39/0.63 (step @p111 :rule refl :args (32)) % 0.39/0.63 (step @p419 :rule nary_cong :premises (@p111 @p418) :args (@t133)) % 0.39/0.63 (step @p420 :rule trans :premises (@p419 @p417)) % 0.39/0.63 (step @p181 :rule arith_poly_norm :args (@t99)) % 0.39/0.63 (step @p421 :rule cong :premises (@p181 @p420) :args ((<= @t98 @t133))) % 0.39/0.63 (step @p422 :rule trans :premises (@p421 @p175)) % 0.39/0.63 (step @p423 :rule arith_mult_neg :args (-1 (= @t56 33))) % 0.47/0.63 (step @p424 :rule symm :premises (@p584)) % 0.47/0.63 (step @p123 :rule evaluate :args (@t92)) % 0.47/0.63 (step @p124 :rule true_elim :premises (@p123)) % 0.47/0.63 (step @p425 :rule and_intro :premises (@p124 @p424)) % 0.47/0.63 (step @p426 :rule modus_ponens :premises (@p425 @p423)) % 0.47/0.63 (step @p427 :rule arith_sum_ub :premises (@p585 @p426)) % 0.47/0.63 (step @p428 false :rule eq_resolve :premises (@p427 @p422)) % 0.47/0.63 (step-pop @p586 :rule scope :premises (@p428)) % 0.47/0.63 (step @p429 :rule process_scope :premises (@p586) :args (false)) % 0.47/0.63 (step @p431 :rule eq_resolve :premises (@p429 @p415)) % 0.47/0.63 (step @p432 false :rule contra :premises (@p431 @p413)) % 0.47/0.63 (step-pop @p587 :rule scope :premises (@p432)) % 0.47/0.63 (step-pop @p588 :rule scope :premises (@p587)) % 0.47/0.63 (step @p433 :rule process_scope :premises (@p588) :args (false)) % 0.47/0.63 (assume-push @p589 @t50) % 0.47/0.63 (assume-push @p590 @t66) % 0.47/0.63 (assume-push @p591 @t82) % 0.47/0.63 (assume-push @p592 @t69) % 0.47/0.63 (assume-push @p593 @t102) % 0.47/0.63 (assume-push @p594 @t80) % 0.47/0.63 (assume-push @p595 @t111) % 0.47/0.63 (assume-push @p596 @t108) % 0.47/0.63 (assume-push @p597 @t102) % 0.47/0.63 (assume-push @p598 @t111) % 0.47/0.63 (assume-push @p599 @t127) % 0.47/0.63 (step @p344 :rule symm :premises (@p593)) % 0.47/0.63 (step @p345 :rule symm :premises (@p595)) % 0.47/0.63 (step @p346 :rule trans :premises (@p599 @p345 @p344)) % 0.47/0.63 (step-pop @p600 :rule scope :premises (@p346)) % 0.47/0.63 (step-pop @p601 :rule scope :premises (@p600)) % 0.47/0.63 (step-pop @p602 :rule scope :premises (@p601)) % 0.47/0.63 (step @p447 :rule process_scope :premises (@p602) :args (@t125)) % 0.47/0.63 (assume-push @p603 @t108) % 0.47/0.63 (assume-push @p604 @t119) % 0.47/0.63 (assume-push @p605 @t70) % 0.47/0.63 (step @p354 :rule symm :premises (@p596)) % 0.47/0.63 (step @p355 :rule refl :args (@t52)) % 0.47/0.63 (step @p356 :rule cong :premises (@p355 @p604) :args (@t68)) % 0.47/0.63 (step @p86 :rule instantiate :premises (@p80) :args (@t72)) % 0.47/0.63 (step @p357 :rule trans :premises (@p86 @p356 @p354)) % 0.47/0.63 (step-pop @p606 :rule scope :premises (@p357)) % 0.47/0.63 (step-pop @p607 :rule scope :premises (@p606)) % 0.47/0.63 (step-pop @p608 :rule scope :premises (@p607)) % 0.47/0.63 (step @p454 :rule process_scope :premises (@p608) :args (@t127)) % 0.47/0.63 (step @p86 :rule instantiate :premises (@p80) :args (@t72)) % 0.47/0.63 (assume-push @p609 @t50) % 0.47/0.63 (assume-push @p610 @t66) % 0.47/0.63 (assume-push @p611 @t80) % 0.47/0.63 (step @p280 :rule arith-elim-lt :args (@t49 5)) % 0.47/0.63 (step @p281 :rule symm :premises (@p280)) % 0.47/0.63 (step @p282 :rule eq_resolve :premises (@p76 @p281)) % 0.47/0.63 (step @p283 :rule int_tight_ub :premises (@p282)) % 0.47/0.63 (step @p284 :rule arith_trichotomy :premises (@p283 @p594)) % 0.47/0.63 (step @p285 :rule int_tight_ub :premises (@p284)) % 0.47/0.63 (step @p286 :rule arith_trichotomy :premises (@p74 @p285)) % 0.47/0.63 (step @p287 :rule symm :premises (@p286)) % 0.47/0.63 (step-pop @p612 :rule scope :premises (@p287)) % 0.47/0.63 (step-pop @p613 :rule scope :premises (@p612)) % 0.47/0.63 (step-pop @p614 :rule scope :premises (@p613)) % 0.47/0.63 (step @p461 :rule process_scope :premises (@p614) :args (@t119)) % 0.47/0.63 (step @p465 :rule and_intro :premises (@p74 @p76 @p594)) % 0.47/0.63 (step @p466 :rule modus_ponens :premises (@p465 @p461)) % 0.47/0.63 (step @p467 :rule and_intro :premises (@p596 @p466 @p86)) % 0.47/0.63 (step @p468 :rule modus_ponens :premises (@p467 @p454)) % 0.47/0.63 (step @p469 :rule and_intro :premises (@p593 @p595 @p468)) % 0.47/0.63 (step @p470 :rule modus_ponens :premises (@p469 @p447)) % 0.47/0.63 (step @p471 :rule and_intro :premises (@p591 @p470)) % 0.47/0.63 (step-pop @p615 :rule scope :premises (@p471)) % 0.47/0.63 (step-pop @p616 :rule scope :premises (@p615)) % 0.47/0.63 (step-pop @p617 :rule scope :premises (@p616)) % 0.47/0.63 (step-pop @p618 :rule scope :premises (@p617)) % 0.47/0.63 (step-pop @p619 :rule scope :premises (@p618)) % 0.47/0.63 (step-pop @p620 :rule scope :premises (@p619)) % 0.47/0.63 (step-pop @p621 :rule scope :premises (@p620)) % 0.47/0.63 (step-pop @p622 :rule scope :premises (@p621)) % 0.47/0.63 (step @p472 :rule process_scope :premises (@p622) :args (@t134)) % 0.47/0.63 (step @p481 :rule implies_elim :premises (@p472)) % 0.47/0.63 (step @p482 :rule resolution :premises (@p481 @p433) :args (true @t134)) % 0.47/0.63 (step @p483 :rule not_and :premises (@p482)) % 0.47/0.63 (step @p484 :rule eq_resolve :premises (@p483 @p391)) % 0.47/0.63 (step @p485 :rule reordering :premises (@p484) :args ((or @t62 @t61 @t59 @t79 @t124 @t123 @t122 @t121))) % 0.47/0.63 (step @p486 false :rule chain_m_resolution :premises (@p485 @p390 @p306 @p247 @p234 @p218 @p91 @p76 @p74) :args (false (@list true false false false true false true false) (@list @t59 @t111 @t108 @t102 @t79 @t69 @t61 @t50))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.63 % cvc5 exiting %------------------------------------------------------------------------------