%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT018_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 : n018.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 0.42s 0.67s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT018_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 22:25:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.42/0.67 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.67 % SZS status Theorem % 0.42/0.67 % SZS output start Proof % 0.42/0.67 ( % 0.42/0.67 (declare-sort tptp.array 0) % 0.42/0.67 (declare-const tptp.read (-> tptp.array Int Int)) % 0.42/0.67 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.42/0.67 (define @t1 () (@var "W" Int)) % 0.42/0.67 (define @t2 () (@var "V" Int)) % 0.42/0.67 (define @t3 () (@var "U" tptp.array)) % 0.42/0.67 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.42/0.67 (define @t5 () (= @t4 @t1)) % 0.42/0.67 (define @t6 () (@list @t3 @t2 @t1)) % 0.42/0.67 (define @t7 () (forall @t6 @t5)) % 0.42/0.67 (define @t8 () (@var "Z" Int)) % 0.42/0.67 (define @t9 () (@var "X" tptp.array)) % 0.42/0.67 (define @t10 () (@var "X1" Int)) % 0.42/0.67 (define @t11 () (@var "Y" Int)) % 0.42/0.67 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.42/0.67 (define @t13 () (tptp.read @t3 @t11)) % 0.42/0.67 (define @t14 () (@var "X" Int)) % 0.42/0.67 (define @t15 () (+ @t14 3)) % 0.42/0.67 (define @t16 () (<= @t11 @t15)) % 0.42/0.67 (define @t17 () (and (<= @t14 @t11) @t16 (<= @t13 3))) % 0.42/0.67 (define @t18 () (@list @t11)) % 0.42/0.67 (define @t19 () (exists @t18 @t17)) % 0.42/0.67 (define @t20 () (+ @t1 3)) % 0.42/0.67 (define @t21 () (<= @t14 @t20)) % 0.42/0.67 (define @t22 () (+ @t1 4)) % 0.42/0.67 (define @t23 () (+ @t1 2)) % 0.42/0.67 (define @t24 () (@var "V" tptp.array)) % 0.42/0.67 (define @t25 () (tptp.write @t24 @t1 3)) % 0.42/0.67 (define @t26 () (tptp.write @t25 @t23 2)) % 0.42/0.67 (define @t27 () (tptp.write @t26 @t22 1)) % 0.42/0.67 (define @t28 () (= @t3 @t27)) % 0.42/0.67 (define @t29 () (and @t28 (<= @t1 @t14) @t21)) % 0.42/0.67 (define @t30 () (=> @t29 @t19)) % 0.42/0.67 (define @t31 () (@list @t3 @t24 @t1 @t14)) % 0.42/0.67 (define @t32 () (forall @t31 @t30)) % 0.42/0.67 (define @t33 () (not @t32)) % 0.42/0.67 (define @t34 () (= @t1 @t4)) % 0.42/0.67 (define @t35 () (+ 4 @t1)) % 0.42/0.67 (define @t36 () (+ 2 @t1)) % 0.42/0.67 (define @t37 () (tptp.write (tptp.write @t25 @t36 2) @t35 1)) % 0.42/0.67 (define @t38 () (* -1 @t14)) % 0.42/0.67 (define @t39 () (+ @t11 @t38)) % 0.42/0.67 (define @t40 () (>= @t39 4)) % 0.42/0.67 (define @t41 () (>= @t39 0)) % 0.42/0.67 (define @t42 () (not @t41)) % 0.42/0.67 (define @t43 () (not (forall @t18 (or @t42 @t40 (>= (tptp.read @t37 @t11) 4))))) % 0.42/0.67 (define @t44 () (+ @t1 @t38)) % 0.42/0.67 (define @t45 () (>= @t44 -3)) % 0.42/0.67 (define @t46 () (not @t45)) % 0.42/0.67 (define @t47 () (>= @t44 1)) % 0.42/0.67 (define @t48 () (or @t47 @t46 @t43)) % 0.42/0.67 (define @t49 () (@list @t24 @t1 @t14)) % 0.42/0.67 (define @t50 () (forall @t49 @t48)) % 0.42/0.67 (define @t51 () (@quantifiers_skolemize @t50 1)) % 0.42/0.67 (define @t52 () (+ 4 @t51)) % 0.42/0.67 (define @t53 () (+ 2 @t51)) % 0.42/0.67 (define @t54 () (@quantifiers_skolemize @t50 0)) % 0.42/0.67 (define @t55 () (tptp.write @t54 @t51 3)) % 0.42/0.67 (define @t56 () (tptp.write @t55 @t53 2)) % 0.42/0.67 (define @t57 () (tptp.write @t56 @t52 1)) % 0.42/0.67 (define @t58 () (tptp.read @t57 @t52)) % 0.42/0.67 (define @t59 () (= @t58 1)) % 0.42/0.67 (define @t60 () (= 1 @t58)) % 0.42/0.67 (define @t61 () (forall @t6 @t34)) % 0.42/0.67 (define @t62 () (@list false)) % 0.42/0.67 (define @t63 () (@list @t61)) % 0.42/0.67 (define @t64 () (not (= @t37 @t37))) % 0.42/0.67 (define @t65 () (or @t64 @t47 @t46 @t43)) % 0.42/0.67 (define @t66 () (>= @t13 4)) % 0.42/0.67 (define @t67 () (not (forall @t18 (or @t42 @t40 @t66)))) % 0.42/0.67 (define @t68 () (= @t3 @t37)) % 0.42/0.67 (define @t69 () (not @t68)) % 0.42/0.67 (define @t70 () (or @t69 @t69 @t47 @t46 @t67)) % 0.42/0.67 (define @t71 () (@list @t3)) % 0.42/0.67 (define @t72 () (or @t69 @t47 @t46 @t67)) % 0.42/0.67 (define @t73 () (forall @t71 @t72)) % 0.42/0.67 (define @t74 () (forall @t49 @t73)) % 0.42/0.67 (define @t75 () (forall (@list @t24 @t1 @t14 @t3) @t72)) % 0.42/0.67 (define @t76 () (not @t47)) % 0.42/0.67 (define @t77 () (not @t76)) % 0.42/0.67 (define @t78 () (or @t69 @t77 @t46)) % 0.42/0.67 (define @t79 () (and @t68 @t76 @t45)) % 0.42/0.67 (define @t80 () (not @t66)) % 0.42/0.67 (define @t81 () (not @t80)) % 0.42/0.67 (define @t82 () (not @t40)) % 0.42/0.67 (define @t83 () (not @t82)) % 0.42/0.67 (define @t84 () (or @t42 @t83 @t81)) % 0.42/0.67 (define @t85 () (and @t41 @t82 @t80)) % 0.42/0.67 (define @t86 () (forall @t18 (not @t85))) % 0.42/0.67 (define @t87 () (not @t86)) % 0.42/0.67 (define @t88 () (+ 3 1)) % 0.42/0.67 (define @t89 () (>= @t13 @t88)) % 0.42/0.67 (define @t90 () (+ 3 @t14)) % 0.42/0.67 (define @t91 () (+ @t90 1)) % 0.42/0.67 (define @t92 () (>= @t11 @t91)) % 0.42/0.67 (define @t93 () (+ 3 @t1)) % 0.42/0.67 (define @t94 () (+ @t14 1)) % 0.42/0.67 (define @t95 () (>= @t1 @t94)) % 0.42/0.67 (define @t96 () (@quantifiers_skolemize @t50 2)) % 0.42/0.67 (define @t97 () (* -1 @t96)) % 0.42/0.67 (define @t98 () (+ @t11 @t97)) % 0.42/0.67 (define @t99 () (forall @t18 (or (not (>= @t98 0)) (>= @t98 4) (>= (tptp.read @t57 @t11) 4)))) % 0.42/0.67 (define @t100 () (not @t99)) % 0.42/0.67 (define @t101 () (+ @t51 @t97)) % 0.42/0.67 (define @t102 () (>= @t101 -3)) % 0.42/0.67 (define @t103 () (not @t102)) % 0.42/0.67 (define @t104 () (>= @t101 1)) % 0.42/0.67 (define @t105 () (or @t104 @t103 @t100)) % 0.42/0.67 (define @t106 () (@list true)) % 0.42/0.67 (define @t107 () (@list @t105)) % 0.42/0.67 (define @t108 () (>= @t58 4)) % 0.42/0.67 (define @t109 () (+ 4 @t51 @t97)) % 0.42/0.67 (define @t110 () (>= @t101 0)) % 0.42/0.67 (define @t111 () (+ @t97 @t51 4)) % 0.42/0.67 (define @t112 () (+ @t52 @t97)) % 0.42/0.67 (define @t113 () (>= @t112 4)) % 0.42/0.67 (define @t114 () (>= @t101 -4)) % 0.42/0.67 (define @t115 () (>= @t112 0)) % 0.42/0.67 (define @t116 () (not @t115)) % 0.42/0.67 (define @t117 () (or @t116 @t113 @t108)) % 0.42/0.67 (define @t118 () (not @t114)) % 0.42/0.67 (define @t119 () (or @t118 @t110 @t108)) % 0.42/0.67 (define @t120 () (tptp.read @t56 @t51)) % 0.42/0.67 (define @t121 () (tptp.read @t55 @t51)) % 0.42/0.67 (define @t122 () (= @t121 @t120)) % 0.42/0.67 (define @t123 () (= @t120 @t121)) % 0.42/0.67 (define @t124 () (- @t51 @t53)) % 0.42/0.67 (define @t125 () (- @t53 @t51)) % 0.42/0.67 (define @t126 () (or (= @t53 @t51) @t123)) % 0.42/0.67 (define @t127 () (@list @t12)) % 0.42/0.67 (define @t128 () (tptp.read @t57 @t51)) % 0.42/0.67 (define @t129 () (= @t128 @t120)) % 0.42/0.67 (define @t130 () (- @t51 @t52)) % 0.42/0.67 (define @t131 () (- @t52 @t51)) % 0.42/0.67 (define @t132 () (or (= @t52 @t51) @t129)) % 0.42/0.67 (define @t133 () (= @t121 3)) % 0.42/0.67 (define @t134 () (= 3 @t121)) % 0.42/0.67 (define @t135 () (@list @t54 @t51 3)) % 0.42/0.67 (define @t136 () (>= @t128 4)) % 0.42/0.67 (define @t137 () (* -1 4)) % 0.42/0.67 (define @t138 () (+ @t137 3)) % 0.42/0.67 (define @t139 () (+ (* -1 @t128) @t128)) % 0.42/0.67 (define @t140 () (< -1 0)) % 0.42/0.67 (define @t141 () (not @t136)) % 0.42/0.67 (define @t142 () (and @t133 @t129 @t122)) % 0.42/0.67 (define @t143 () (not @t104)) % 0.42/0.67 (define @t144 () (>= @t101 4)) % 0.42/0.67 (define @t145 () (not @t144)) % 0.42/0.67 (define @t146 () (+ @t137 0)) % 0.42/0.67 (define @t147 () (+ 0 0)) % 0.42/0.67 (define @t148 () (* 0 @t51)) % 0.42/0.67 (define @t149 () (= @t148 0)) % 0.42/0.67 (define @t150 () (* 0 @t96)) % 0.42/0.67 (define @t151 () (= @t150 0)) % 0.42/0.67 (define @t152 () (+ @t150 @t148)) % 0.42/0.67 (define @t153 () (* -1 @t101)) % 0.42/0.67 (define @t154 () (+ @t153 @t101)) % 0.42/0.67 (define @t155 () (and @t144 @t143)) % 0.42/0.67 (define @t156 () (not @t110)) % 0.42/0.67 (define @t157 () (or @t156 @t144 @t136)) % 0.42/0.67 (define @t158 () (+ -5 1)) % 0.42/0.67 (define @t159 () (>= @t101 @t158)) % 0.42/0.67 (define @t160 () (<= @t101 -5)) % 0.42/0.67 (define @t161 () (* -1 -3)) % 0.42/0.67 (define @t162 () (+ -5 @t161)) % 0.42/0.67 (define @t163 () (+ @t101 @t153)) % 0.42/0.67 (define @t164 () (and @t118 @t102)) % 0.42/0.67 (define @t165 () (+ @t137 1)) % 0.42/0.67 (define @t166 () (+ (* -1 @t58) @t58)) % 0.42/0.67 (define @t167 () (and @t108 @t59)) % 0.42/0.67 (assume @p1 @t7) % 0.42/0.67 (assume @p2 @t12) % 0.42/0.67 (assume @p3 @t33) % 0.42/0.67 (assume @p4 true) % 0.42/0.67 (step @p5 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.42/0.67 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= @t5 @t34))) % 0.42/0.67 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 0.42/0.67 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.42/0.67 (step @p9 :rule arith_poly_norm :args ((= (* -1 (- 1 @t58)) (* 1 (- @t58 1))))) % 0.42/0.67 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= @t60 @t59))) % 0.42/0.67 (step @p11 :rule refl :args (@t61)) % 0.42/0.67 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t61 @t60))) % 0.42/0.67 (assume-push @p447 @t61) % 0.42/0.67 (step @p14 :rule instantiate :premises (@p8) :args ((@list @t56 @t52 1))) % 0.42/0.67 (step-pop @p448 :rule scope :premises (@p14)) % 0.42/0.67 (step @p15 :rule process_scope :premises (@p448) :args (@t60)) % 0.42/0.67 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.42/0.67 (step @p18 :rule implies_elim :premises (@p17)) % 0.42/0.67 (step @p19 :rule chain_m_resolution :premises (@p18 @p8) :args (@t59 @t62 @t63)) % 0.42/0.67 (step @p20 :rule aci_norm :args ((= (or false @t47 @t46 @t43) @t48))) % 0.42/0.67 (step @p21 :rule refl :args (@t43)) % 0.42/0.67 (step @p22 :rule refl :args (@t46)) % 0.42/0.67 (step @p23 :rule refl :args (@t47)) % 0.42/0.67 (step @p24 :rule evaluate :args ((not true))) % 0.42/0.67 (step @p25 :rule eq-refl :args (@t37)) % 0.42/0.67 (step @p26 :rule cong :premises (@p25) :args (@t64)) % 0.42/0.67 (step @p27 :rule trans :premises (@p26 @p24)) % 0.42/0.67 (step @p28 :rule nary_cong :premises (@p27 @p23 @p22 @p21) :args (@t65)) % 0.42/0.67 (step @p29 :rule trans :premises (@p28 @p20)) % 0.42/0.67 (step @p30 :rule cong :premises (@p29) :args ((forall @t49 @t65))) % 0.42/0.67 (step @p31 :rule quant-var-elim-eq :args ((= (forall @t71 @t70) @t65))) % 0.42/0.67 (step @p32 :rule aci_norm :args ((= @t72 @t70))) % 0.42/0.67 (step @p33 :rule cong :premises (@p32) :args (@t73)) % 0.42/0.67 (step @p34 :rule trans :premises (@p33 @p31)) % 0.42/0.67 (step @p35 :rule cong :premises (@p34) :args (@t74)) % 0.42/0.67 (step @p36 :rule quant-merge-prenex :args ((= @t74 @t75))) % 0.42/0.67 (step @p37 :rule symm :premises (@p36)) % 0.42/0.67 (step @p38 :rule quant_var_reordering :args ((= (forall @t31 @t72) @t75))) % 0.42/0.67 (step @p39 :rule trans :premises (@p38 @p37 @p35)) % 0.42/0.67 (step @p40 :rule trans :premises (@p39 @p30)) % 0.42/0.67 (step @p41 :rule aci_norm :args ((= (or (or @t69 @t47 @t46) @t67) @t72))) % 0.42/0.67 (step @p42 :rule refl :args (@t67)) % 0.42/0.67 (step @p43 :rule refl :args (@t46)) % 0.42/0.67 (step @p44 :rule bool-double-not-elim :args (@t47)) % 0.42/0.67 (step @p45 :rule refl :args (@t69)) % 0.42/0.67 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t78)) % 0.42/0.67 (step @p47 :rule aci_norm :args ((= (or @t69 (or @t77 @t46)) @t78))) % 0.42/0.67 (step @p48 :rule trans :premises (@p47 @p46)) % 0.42/0.67 (step @p49 :rule bool-and-de-morgan :args (@t76 @t45 true)) % 0.42/0.67 (step @p50 :rule nary_cong :premises (@p45 @p49) :args ((or @t69 (not (and @t76 @t45))))) % 0.42/0.67 (step @p51 :rule bool-and-de-morgan :args (@t68 @t76 (and @t45))) % 0.42/0.67 (step @p52 :rule trans :premises (@p51 @p50)) % 0.42/0.67 (step @p53 :rule trans :premises (@p52 @p48)) % 0.42/0.67 (step @p54 :rule nary_cong :premises (@p53 @p42) :args ((or (not @t79) @t67))) % 0.42/0.67 (step @p55 :rule trans :premises (@p54 @p41)) % 0.42/0.67 (step @p56 :rule bool-impl-elim :args (@t79 @t67)) % 0.42/0.67 (step @p57 :rule trans :premises (@p56 @p55)) % 0.42/0.67 (step @p58 :rule cong :premises (@p57) :args ((forall @t31 (=> @t79 @t67)))) % 0.42/0.67 (step @p59 :rule trans :premises (@p58 @p40)) % 0.42/0.67 (step @p60 :rule bool-double-not-elim :args (@t66)) % 0.42/0.67 (step @p61 :rule bool-double-not-elim :args (@t40)) % 0.42/0.67 (step @p62 :rule refl :args (@t42)) % 0.42/0.67 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t84)) % 0.42/0.67 (step @p64 :rule aci_norm :args ((= (or @t42 (or @t83 @t81)) @t84))) % 0.42/0.67 (step @p65 :rule trans :premises (@p64 @p63)) % 0.42/0.67 (step @p66 :rule bool-and-de-morgan :args (@t82 @t80 true)) % 0.42/0.67 (step @p67 :rule nary_cong :premises (@p62 @p66) :args ((or @t42 (not (and @t82 @t80))))) % 0.42/0.67 (step @p68 :rule bool-and-de-morgan :args (@t41 @t82 (and @t80))) % 0.42/0.67 (step @p69 :rule trans :premises (@p68 @p67)) % 0.42/0.67 (step @p70 :rule trans :premises (@p69 @p65)) % 0.42/0.67 (step @p71 :rule cong :premises (@p70) :args (@t86)) % 0.42/0.67 (step @p72 :rule cong :premises (@p71) :args (@t87)) % 0.42/0.67 (step @p73 :rule exists-elim :args ((= (exists @t18 @t85) @t87))) % 0.42/0.67 (step @p74 :rule trans :premises (@p73 @p72)) % 0.42/0.67 (step @p75 :rule evaluate :args (@t88)) % 0.42/0.67 (step @p76 :rule refl :args (@t13)) % 0.42/0.67 (step @p77 :rule cong :premises (@p76 @p75) :args (@t89)) % 0.42/0.67 (step @p78 :rule cong :premises (@p77) :args 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(step @p352 :rule trans :premises (@p351 @p350)) % 0.42/0.67 (step @p353 :rule cong :premises (@p352) :args ((not @t160))) % 0.42/0.67 (step @p354 :rule trans :premises (@p353 @p342)) % 0.42/0.67 (step @p355 :rule arith-elim-leq :args (@t101 -5)) % 0.42/0.67 (step @p356 :rule symm :premises (@p355)) % 0.42/0.67 (step @p357 :rule cong :premises (@p356) :args ((not (>= -5 @t101)))) % 0.42/0.67 (step @p358 :rule arith-elim-gt :args (@t101 -5)) % 0.42/0.67 (step @p359 :rule trans :premises (@p358 @p357)) % 0.42/0.67 (step @p360 :rule trans :premises (@p359 @p354)) % 0.42/0.67 (step @p361 :rule cong :premises (@p360) :args ((not (> @t101 -5)))) % 0.42/0.67 (step @p362 :rule symm :premises (@p361)) % 0.42/0.67 (step @p363 :rule trans :premises (@p352 @p362)) % 0.42/0.67 (step @p364 :rule arith-elim-lt :args (@t101 -4)) % 0.42/0.67 (step @p365 :rule symm :premises (@p364)) % 0.42/0.67 (step @p366 :rule eq_resolve :premises (@p477 @p365)) % 0.42/0.67 (step @p367 :rule int_tight_ub :premises (@p366)) % 0.42/0.67 (step @p368 :rule eq_resolve :premises (@p367 @p363)) % 0.42/0.67 (step @p369 :rule symm :premises (@p360)) % 0.42/0.67 (step @p370 :rule trans :premises (@p354 @p369)) % 0.42/0.67 (assume-push @p479 @t160) % 0.42/0.67 (step @p372 :rule evaluate :args ((<= 0 -2))) % 0.42/0.67 (step @p373 :rule evaluate :args ((+ -5 3))) % 0.42/0.67 (step @p374 :rule evaluate :args (@t161)) % 0.42/0.67 (step @p375 :rule refl :args (-5)) % 0.42/0.67 (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t162)) % 0.42/0.67 (step @p377 :rule trans :premises (@p376 @p373)) % 0.42/0.67 (step @p297 :rule evaluate :args (@t147)) % 0.42/0.67 (step @p298 :rule arith_poly_norm :args (@t149)) % 0.42/0.67 (step @p299 :rule arith_poly_norm :args (@t151)) % 0.42/0.67 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (@t152)) % 0.42/0.67 (step @p301 :rule trans :premises (@p300 @p297)) % 0.42/0.67 (step @p378 :rule arith_poly_norm :args ((= @t163 @t152))) % 0.42/0.67 (step @p379 :rule 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chain_m_resolution :premises (@p406 @p404 @p335 @p157) :args (@t108 (@list false true false) (@list @t114 @t110 @t119))) % 0.42/0.67 (assume-push @p487 @t108) % 0.42/0.67 (assume-push @p488 @t59) % 0.42/0.67 (step @p410 :rule bool-double-not-elim :args (@t108)) % 0.42/0.67 (step @p411 :rule arith-elim-lt :args (@t58 4)) % 0.42/0.67 (step @p412 :rule cong :premises (@p411) :args ((not (< @t58 4)))) % 0.42/0.67 (step @p413 :rule trans :premises (@p412 @p410)) % 0.42/0.67 (step @p414 :rule symm :premises (@p413)) % 0.42/0.67 (step @p415 :rule eq_resolve :premises (@p487 @p414)) % 0.42/0.67 (step @p416 :rule symm :premises (@p411)) % 0.42/0.67 (assume-push @p489 @t108) % 0.42/0.67 (step @p418 :rule evaluate :args ((<= 0 -3))) % 0.42/0.67 (step @p419 :rule evaluate :args ((+ -4 1))) % 0.42/0.67 (step @p243 :rule evaluate :args (@t137)) % 0.42/0.67 (step @p420 :rule nary_cong :premises (@p243 @p110) :args (@t165)) % 0.42/0.67 (step @p421 :rule trans :premises (@p420 @p419)) % 0.42/0.67 (step @p422 :rule arith_poly_norm :args ((= @t166 0))) % 0.42/0.67 (step @p423 :rule cong :premises (@p422 @p421) :args ((<= @t166 @t165))) % 0.42/0.67 (step @p424 :rule trans :premises (@p423 @p418)) % 0.42/0.67 (step @p425 :rule arith_mult_neg :args (-1 @t108)) % 0.42/0.67 (step @p255 :rule evaluate :args (@t140)) % 0.42/0.67 (step @p256 :rule true_elim :premises (@p255)) % 0.42/0.67 (step @p426 :rule and_intro :premises (@p256 @p487)) % 0.42/0.67 (step @p427 :rule modus_ponens :premises (@p426 @p425)) % 0.42/0.67 (step @p428 :rule arith_sum_ub :premises (@p427 @p19)) % 0.42/0.67 (step @p429 false :rule eq_resolve :premises (@p428 @p424)) % 0.42/0.67 (step-pop @p490 :rule scope :premises (@p429)) % 0.42/0.67 (step @p430 :rule process_scope :premises (@p490) :args (false)) % 0.42/0.67 (step @p432 :rule eq_resolve :premises (@p430 @p416)) % 0.42/0.67 (step @p433 false :rule contra :premises (@p432 @p415)) % 0.42/0.67 (step-pop @p491 :rule scope :premises (@p433)) % 0.42/0.67 (step-pop @p492 :rule scope :premises (@p491)) % 0.42/0.67 (step @p434 :rule process_scope :premises (@p492) :args (false)) % 0.42/0.67 (assume-push @p493 @t59) % 0.42/0.67 (assume-push @p494 @t108) % 0.42/0.67 (step @p439 :rule and_intro :premises (@p494 @p19)) % 0.42/0.67 (step-pop @p495 :rule scope :premises (@p439)) % 0.42/0.67 (step-pop @p496 :rule scope :premises (@p495)) % 0.42/0.67 (step @p440 :rule process_scope :premises (@p496) :args (@t167)) % 0.42/0.67 (step @p443 :rule implies_elim :premises (@p440)) % 0.42/0.67 (step @p444 :rule resolution :premises (@p443 @p434) :args (true @t167)) % 0.42/0.67 (step @p445 :rule not_and :premises (@p444)) % 0.42/0.67 (step @p446 false :rule chain_m_resolution :premises (@p445 @p407 @p19) :args (false (@list false false) (@list @t108 @t59))) % 0.42/0.67 ) % 0.42/0.67 % SZS output end Proof % 0.42/0.67 % cvc5 exiting %------------------------------------------------------------------------------