%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT011_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 : n012.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 0.14s 0.41s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT011_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 22:25:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_ARI % 0.14/0.41 --- Run --finite-model-find --decision=internal at 45... % 0.14/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.14/0.41 % SZS status Theorem % 0.14/0.41 % SZS output start Proof % 0.14/0.41 ( % 0.14/0.41 (declare-sort tptp.array 0) % 0.14/0.41 (declare-const tptp.read (-> tptp.array Int Int)) % 0.14/0.41 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.14/0.41 (define @t1 () (@var "W" Int)) % 0.14/0.41 (define @t2 () (@var "V" Int)) % 0.14/0.41 (define @t3 () (@var "U" tptp.array)) % 0.14/0.41 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.14/0.41 (define @t5 () (= @t4 @t1)) % 0.14/0.41 (define @t6 () (@list @t3 @t2 @t1)) % 0.14/0.41 (define @t7 () (forall @t6 @t5)) % 0.14/0.41 (define @t8 () (@var "Z" Int)) % 0.14/0.41 (define @t9 () (@var "X" tptp.array)) % 0.14/0.41 (define @t10 () (@var "X1" Int)) % 0.14/0.41 (define @t11 () (@var "Y" Int)) % 0.14/0.41 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.14/0.41 (define @t13 () (tptp.read @t3 @t8)) % 0.14/0.41 (define @t14 () (@var "X" Int)) % 0.14/0.41 (define @t15 () (+ @t14 1)) % 0.14/0.41 (define @t16 () (<= @t8 @t15)) % 0.14/0.41 (define @t17 () (and (<= @t1 @t8) @t16)) % 0.14/0.41 (define @t18 () (=> @t17 (> @t13 0))) % 0.14/0.41 (define @t19 () (@list @t8)) % 0.14/0.41 (define @t20 () (forall @t19 @t18)) % 0.14/0.41 (define @t21 () (@var "V" tptp.array)) % 0.14/0.41 (define @t22 () (tptp.write @t21 @t15 3)) % 0.14/0.41 (define @t23 () (= @t3 @t22)) % 0.14/0.41 (define @t24 () (tptp.read @t21 @t11)) % 0.14/0.41 (define @t25 () (and (<= @t1 @t11) (<= @t11 @t14))) % 0.14/0.41 (define @t26 () (=> @t25 (> @t24 0))) % 0.14/0.41 (define @t27 () (@list @t11)) % 0.14/0.41 (define @t28 () (forall @t27 @t26)) % 0.14/0.41 (define @t29 () (and @t28 @t23)) % 0.14/0.41 (define @t30 () (=> @t29 @t20)) % 0.14/0.41 (define @t31 () (@list @t3 @t21 @t1 @t14)) % 0.14/0.41 (define @t32 () (forall @t31 @t30)) % 0.14/0.41 (define @t33 () (not @t32)) % 0.14/0.41 (define @t34 () (@var "BOUND_VARIABLE_7523" Int)) % 0.14/0.41 (define @t35 () (+ 1 @t14)) % 0.14/0.41 (define @t36 () (tptp.write @t21 @t35 3)) % 0.14/0.41 (define @t37 () (>= (tptp.read @t36 @t34) 1)) % 0.14/0.41 (define @t38 () (* -1 @t34)) % 0.14/0.41 (define @t39 () (+ @t14 @t38)) % 0.14/0.41 (define @t40 () (not (>= @t39 -1))) % 0.14/0.41 (define @t41 () (>= (+ @t1 @t38) 1)) % 0.14/0.41 (define @t42 () (>= @t24 1)) % 0.14/0.41 (define @t43 () (* -1 @t14)) % 0.14/0.41 (define @t44 () (+ @t11 @t43)) % 0.14/0.41 (define @t45 () (>= @t44 1)) % 0.14/0.41 (define @t46 () (* -1 @t11)) % 0.14/0.41 (define @t47 () (+ @t1 @t46)) % 0.14/0.41 (define @t48 () (>= @t47 1)) % 0.14/0.41 (define @t49 () (or @t48 @t45 @t42)) % 0.14/0.41 (define @t50 () (forall @t27 @t49)) % 0.14/0.41 (define @t51 () (not @t50)) % 0.14/0.41 (define @t52 () (or @t51 @t41 @t40 @t37)) % 0.14/0.41 (define @t53 () (not (= @t36 @t36))) % 0.14/0.41 (define @t54 () (or @t51 @t53 @t41 @t40 @t37)) % 0.14/0.41 (define @t55 () (@list @t21 @t1 @t14 @t34)) % 0.14/0.41 (define @t56 () (>= (tptp.read @t3 @t34) 1)) % 0.14/0.41 (define @t57 () (= @t3 @t36)) % 0.14/0.41 (define @t58 () (not @t57)) % 0.14/0.41 (define @t59 () (or @t58 @t51 @t58 @t41 @t40 @t56)) % 0.14/0.41 (define @t60 () (@list @t3)) % 0.14/0.41 (define @t61 () (or @t51 @t58 @t41 @t40 @t56)) % 0.14/0.41 (define @t62 () (forall @t60 @t61)) % 0.14/0.41 (define @t63 () (forall @t55 @t62)) % 0.14/0.41 (define @t64 () (forall (@list @t21 @t1 @t14 @t34 @t3) @t61)) % 0.14/0.41 (define @t65 () (@list @t3 @t21 @t1 @t14 @t34)) % 0.14/0.41 (define @t66 () (+ @t43 @t34)) % 0.14/0.41 (define @t67 () (+ @t39 1)) % 0.14/0.41 (define @t68 () (+ @t34 @t43)) % 0.14/0.41 (define @t69 () (>= @t68 2)) % 0.14/0.41 (define @t70 () (or @t51 @t58 @t41 @t69 @t56)) % 0.14/0.41 (define @t71 () (or @t41 @t69 @t56)) % 0.14/0.41 (define @t72 () (or @t51 @t58 @t71)) % 0.14/0.41 (define @t73 () (forall @t65 @t72)) % 0.14/0.41 (define @t74 () (@list @t34)) % 0.14/0.41 (define @t75 () (forall @t74 @t72)) % 0.14/0.41 (define @t76 () (forall @t74 @t71)) % 0.14/0.41 (define @t77 () (or @t51 @t58 @t76)) % 0.14/0.41 (define @t78 () (>= @t13 1)) % 0.14/0.41 (define @t79 () (+ @t8 @t43)) % 0.14/0.41 (define @t80 () (>= @t79 2)) % 0.14/0.41 (define @t81 () (+ @t1 (* -1 @t8))) % 0.14/0.41 (define @t82 () (>= @t81 1)) % 0.14/0.41 (define @t83 () (or @t82 @t80 @t78)) % 0.14/0.41 (define @t84 () (forall @t19 @t83)) % 0.14/0.41 (define @t85 () (or @t51 @t58 @t84)) % 0.14/0.41 (define @t86 () (and @t50 @t57)) % 0.14/0.41 (define @t87 () (not @t80)) % 0.14/0.41 (define @t88 () (not @t82)) % 0.14/0.41 (define @t89 () (and @t88 @t87)) % 0.14/0.41 (define @t90 () (+ 0 1)) % 0.14/0.41 (define @t91 () (>= @t13 @t90)) % 0.14/0.41 (define @t92 () (+ @t35 1)) % 0.14/0.41 (define @t93 () (>= @t8 @t92)) % 0.14/0.41 (define @t94 () (+ @t8 1)) % 0.14/0.41 (define @t95 () (>= @t1 @t94)) % 0.14/0.41 (define @t96 () (not @t45)) % 0.14/0.41 (define @t97 () (not @t48)) % 0.14/0.41 (define @t98 () (and @t97 @t96)) % 0.14/0.41 (define @t99 () (>= @t24 @t90)) % 0.14/0.41 (define @t100 () (>= @t11 @t15)) % 0.14/0.41 (define @t101 () (+ @t11 1)) % 0.14/0.41 (define @t102 () (>= @t1 @t101)) % 0.14/0.41 (define @t103 () (forall @t55 @t52)) % 0.14/0.41 (define @t104 () (@quantifiers_skolemize @t103 3)) % 0.14/0.41 (define @t105 () (@quantifiers_skolemize @t103 2)) % 0.14/0.41 (define @t106 () (+ 1 @t105)) % 0.14/0.41 (define @t107 () (@quantifiers_skolemize @t103 0)) % 0.14/0.41 (define @t108 () (tptp.write @t107 @t106 3)) % 0.14/0.41 (define @t109 () (tptp.read @t108 @t104)) % 0.14/0.41 (define @t110 () (>= @t109 1)) % 0.14/0.41 (define @t111 () (* -1 @t104)) % 0.14/0.41 (define @t112 () (+ @t105 @t111)) % 0.14/0.41 (define @t113 () (>= @t112 -1)) % 0.14/0.41 (define @t114 () (not @t113)) % 0.14/0.41 (define @t115 () (@quantifiers_skolemize @t103 1)) % 0.14/0.41 (define @t116 () (+ @t115 @t111)) % 0.14/0.41 (define @t117 () (>= @t116 1)) % 0.14/0.41 (define @t118 () (>= (tptp.read @t107 @t11) 1)) % 0.14/0.41 (define @t119 () (* -1 @t105)) % 0.14/0.41 (define @t120 () (>= (+ @t11 @t119) 1)) % 0.14/0.41 (define @t121 () (* -1 @t115)) % 0.14/0.41 (define @t122 () (+ @t11 @t121)) % 0.14/0.41 (define @t123 () (forall @t27 (or (not (>= @t122 0)) @t120 @t118))) % 0.14/0.41 (define @t124 () (not @t123)) % 0.14/0.41 (define @t125 () (or @t124 @t117 @t114 @t110)) % 0.14/0.41 (define @t126 () (not @t125)) % 0.14/0.41 (define @t127 () (not @t103)) % 0.14/0.41 (define @t128 () (+ @t46 @t115)) % 0.14/0.41 (define @t129 () (+ @t122 1)) % 0.14/0.41 (define @t130 () (+ @t115 @t46)) % 0.14/0.41 (define @t131 () (>= @t130 1)) % 0.14/0.41 (define @t132 () (or @t131 @t120 @t118)) % 0.14/0.41 (define @t133 () (forall @t27 @t132)) % 0.14/0.41 (define @t134 () (not @t133)) % 0.14/0.41 (define @t135 () (or @t134 @t117 @t114 @t110)) % 0.14/0.41 (define @t136 () (not @t135)) % 0.14/0.41 (define @t137 () (@list true)) % 0.14/0.41 (define @t138 () (not @t110)) % 0.14/0.41 (define @t139 () (@list @t125)) % 0.14/0.41 (define @t140 () (tptp.read @t107 @t104)) % 0.14/0.41 (define @t141 () (= @t109 @t140)) % 0.14/0.41 (define @t142 () (+ -1 @t104)) % 0.14/0.41 (define @t143 () (- @t105 @t142)) % 0.14/0.41 (define @t144 () (* 1 @t143)) % 0.14/0.41 (define @t145 () (= @t105 @t142)) % 0.14/0.41 (define @t146 () (= @t106 @t104)) % 0.14/0.41 (define @t147 () (or @t146 @t141)) % 0.14/0.41 (define @t148 () (or @t145 @t141)) % 0.14/0.41 (define @t149 () (@list false)) % 0.14/0.41 (define @t150 () (= @t1 @t4)) % 0.14/0.41 (define @t151 () (tptp.read @t108 @t106)) % 0.14/0.41 (define @t152 () (= @t151 3)) % 0.14/0.41 (define @t153 () (= 3 @t151)) % 0.14/0.41 (define @t154 () (forall @t6 @t150)) % 0.14/0.41 (define @t155 () (@list @t107 @t106 3)) % 0.14/0.41 (define @t156 () (not @t145)) % 0.14/0.41 (define @t157 () (not @t152)) % 0.14/0.41 (define @t158 () (not @t138)) % 0.14/0.41 (define @t159 () (= 3 @t109)) % 0.14/0.41 (define @t160 () (= @t109 3)) % 0.14/0.41 (define @t161 () (* -1 3)) % 0.14/0.41 (define @t162 () (+ @t161 0)) % 0.14/0.41 (define @t163 () (* -1 @t109)) % 0.14/0.41 (define @t164 () (+ @t163 @t109)) % 0.14/0.41 (define @t165 () (< -1 0)) % 0.14/0.41 (define @t166 () (= @t104 @t106)) % 0.14/0.41 (define @t167 () (and @t159 @t138)) % 0.14/0.41 (define @t168 () (@list true false)) % 0.14/0.41 (define @t169 () (>= @t140 1)) % 0.14/0.41 (define @t170 () (+ @t119 @t104)) % 0.14/0.41 (define @t171 () (+ @t112 1)) % 0.14/0.41 (define @t172 () (+ @t104 @t119)) % 0.14/0.41 (define @t173 () (>= @t172 1)) % 0.14/0.41 (define @t174 () (+ @t121 @t104)) % 0.14/0.41 (define @t175 () (+ @t116 1)) % 0.14/0.41 (define @t176 () (+ @t104 @t121)) % 0.14/0.41 (define @t177 () (>= @t176 0)) % 0.14/0.41 (define @t178 () (not @t177)) % 0.14/0.41 (define @t179 () (or @t178 @t173 @t169)) % 0.14/0.41 (define @t180 () (>= @t112 0)) % 0.14/0.41 (define @t181 () (not @t180)) % 0.14/0.41 (define @t182 () (or @t117 @t181 @t169)) % 0.14/0.41 (define @t183 () (= @t112 -1)) % 0.14/0.41 (define @t184 () (and @t113 @t156)) % 0.14/0.41 (define @t185 () (not @t169)) % 0.14/0.41 (define @t186 () (not @t141)) % 0.14/0.41 (define @t187 () (* -1 0)) % 0.14/0.41 (define @t188 () (* -1 1)) % 0.14/0.41 (define @t189 () (+ @t188 @t187 1)) % 0.14/0.41 (define @t190 () (+ @t163 @t140)) % 0.14/0.41 (define @t191 () (* -1 @t140)) % 0.14/0.41 (define @t192 () (+ @t109 @t191)) % 0.14/0.41 (define @t193 () (* -1 @t192)) % 0.14/0.41 (define @t194 () (+ @t191 @t193 @t109)) % 0.14/0.41 (define @t195 () (>= @t194 @t189)) % 0.14/0.41 (define @t196 () (= @t192 0)) % 0.14/0.41 (assume @p1 @t7) % 0.14/0.41 (assume @p2 @t12) % 0.14/0.41 (assume @p3 @t33) % 0.14/0.41 (assume @p4 true) % 0.14/0.41 (step @p5 :rule aci_norm :args ((= (or @t51 false @t41 @t40 @t37) @t52))) % 0.14/0.41 (step @p6 :rule refl :args (@t37)) % 0.14/0.41 (step @p7 :rule refl :args (@t40)) % 0.14/0.41 (step @p8 :rule refl :args (@t41)) % 0.14/0.41 (step @p9 :rule evaluate :args ((not true))) % 0.14/0.41 (step @p10 :rule eq-refl :args (@t36)) % 0.14/0.41 (step @p11 :rule cong :premises (@p10) :args (@t53)) % 0.14/0.41 (step @p12 :rule trans :premises (@p11 @p9)) % 0.14/0.41 (step @p13 :rule refl :args (@t51)) % 0.14/0.41 (step @p14 :rule nary_cong :premises (@p13 @p12 @p8 @p7 @p6) :args (@t54)) % 0.14/0.41 (step @p15 :rule trans :premises (@p14 @p5)) % 0.14/0.41 (step @p16 :rule cong :premises (@p15) :args ((forall @t55 @t54))) % 0.14/0.41 (step @p17 :rule quant-var-elim-eq :args ((= (forall @t60 @t59) @t54))) % 0.14/0.41 (step @p18 :rule aci_norm :args ((= @t61 @t59))) % 0.14/0.41 (step @p19 :rule cong :premises (@p18) :args (@t62)) % 0.14/0.41 (step @p20 :rule trans :premises (@p19 @p17)) % 0.14/0.41 (step @p21 :rule cong :premises (@p20) :args (@t63)) % 0.14/0.41 (step @p22 :rule quant-merge-prenex :args ((= @t63 @t64))) % 0.14/0.41 (step @p23 :rule symm :premises (@p22)) % 0.14/0.41 (step @p24 :rule quant_var_reordering :args ((= (forall @t65 @t61) @t64))) % 0.14/0.41 (step @p25 :rule trans :premises (@p24 @p23 @p21)) % 0.14/0.41 (step @p26 :rule trans :premises (@p25 @p16)) % 0.14/0.41 (step @p27 :rule refl :args (@t56)) % 0.14/0.41 (step @p28 :rule arith_poly_norm :args ((= (* -2 (- -1 @t67)) (* -2 (- @t66 2))))) % 0.14/0.41 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= (>= -1 @t67) (>= @t66 2)))) % 0.14/0.41 (step @p30 :rule arith-geq-tighten :args (@t39 -1)) % 0.14/0.41 (step @p31 :rule trans :premises (@p30 @p29)) % 0.14/0.41 (step @p32 :rule symm :premises (@p31)) % 0.14/0.41 (step @p33 :rule refl :args (2)) % 0.14/0.41 (step @p34 :rule arith_poly_norm :args ((= @t68 @t66))) % 0.14/0.41 (step @p35 :rule cong :premises (@p34 @p33) :args (@t69)) % 0.14/0.41 (step @p36 :rule trans :premises (@p35 @p32)) % 0.14/0.41 (step @p37 :rule refl :args (@t58)) % 0.14/0.41 (step @p38 :rule nary_cong :premises (@p13 @p37 @p8 @p36 @p27) :args (@t70)) % 0.14/0.41 (step @p39 :rule aci_norm :args ((= @t72 @t70))) % 0.14/0.41 (step @p40 :rule trans :premises (@p39 @p38)) % 0.14/0.41 (step @p41 :rule cong :premises (@p40) :args (@t73)) % 0.14/0.41 (step @p42 :rule trans :premises (@p41 @p26)) % 0.14/0.41 (step @p43 :rule quant-merge-prenex :args ((= (forall @t31 @t75) @t73))) % 0.14/0.41 (step @p44 :rule alpha_equiv :args (@t76 (@list @t34) (@list @t8))) % 0.14/0.41 (step @p45 :rule refl :args (@t58)) % 0.14/0.41 (step @p46 :rule refl :args (@t51)) % 0.14/0.41 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t77)) % 0.14/0.41 (step @p48 :rule quant-miniscope-or :args ((= @t75 @t77))) % 0.14/0.41 (step @p49 :rule trans :premises (@p48 @p47)) % 0.14/0.41 (step @p50 :rule symm :premises (@p49)) % 0.14/0.41 (step @p51 :rule cong :premises (@p50) :args ((forall @t31 @t85))) % 0.14/0.41 (step @p52 :rule trans :premises (@p51 @p43)) % 0.14/0.41 (step @p53 :rule trans :premises (@p52 @p42)) % 0.14/0.41 (step @p54 :rule aci_norm :args ((= (or (or @t51 @t58) @t84) @t85))) % 0.14/0.41 (step @p55 :rule refl :args (@t84)) % 0.14/0.41 (step @p56 :rule bool-and-de-morgan :args (@t50 @t57 true)) % 0.14/0.41 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t86) @t84))) % 0.14/0.41 (step @p58 :rule trans :premises (@p57 @p54)) % 0.14/0.41 (step @p59 :rule bool-impl-elim :args (@t86 @t84)) % 0.14/0.41 (step @p60 :rule trans :premises (@p59 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(@p320)) % 0.14/0.41 (step @p322 :rule chain_m_resolution :premises (@p321 @p292) :args (@t182 @t149 (@list @t123))) % 0.14/0.41 (step @p323 :rule bool-double-not-elim :args (@t113)) % 0.14/0.41 (step @p324 :rule nary_cong :premises (@p287 @p323) :args ((or @t125 (not @t114)))) % 0.14/0.41 (step @p325 :rule cnf_or_neg :args (@t125 2)) % 0.14/0.41 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.14/0.41 (step @p327 :rule reordering :premises (@p326) :args ((or @t113 @t125))) % 0.14/0.41 (step @p328 :rule chain_m_resolution :premises (@p327 @p190) :args (@t113 @t137 @t139)) % 0.14/0.41 (step @p329 :rule refl :args (@t180)) % 0.14/0.41 (step @p330 :rule bool-double-not-elim :args (@t145)) % 0.14/0.41 (step @p331 :rule nary_cong :premises (@p163 @p330 @p329) :args ((or @t114 (not @t156) @t180))) % 0.14/0.41 (assume-push @p436 @t113) % 0.14/0.41 (assume-push @p437 @t156) % 0.14/0.41 (assume-push @p438 @t113) % 0.14/0.41 (assume-push @p439 @t156) % 0.14/0.41 (step @p336 :rule arith_poly_norm :args ((= (* 1 (- @t112 -1)) @t144))) % 0.14/0.41 (step @p337 :rule arith_poly_norm_rel :premises (@p336) :args ((= @t183 @t145))) % 0.14/0.41 (step @p338 :rule cong :premises (@p337) :args ((not @t183))) % 0.14/0.41 (step @p339 :rule symm :premises (@p338)) % 0.14/0.41 (step @p340 :rule eq_resolve :premises (@p437 @p339)) % 0.14/0.41 (step @p341 :rule arith_trichotomy :premises (@p328 @p340)) % 0.14/0.41 (step @p342 :rule int_tight_lb :premises (@p341)) % 0.14/0.41 (step-pop @p440 :rule scope :premises (@p342)) % 0.14/0.41 (step-pop @p441 :rule scope :premises (@p440)) % 0.14/0.41 (step @p343 :rule process_scope :premises (@p441) :args (@t180)) % 0.14/0.41 (step @p346 :rule and_intro :premises (@p328 @p437)) % 0.14/0.41 (step @p347 :rule modus_ponens :premises (@p346 @p343)) % 0.14/0.41 (step-pop @p442 :rule scope :premises (@p347)) % 0.14/0.41 (step-pop @p443 :rule scope :premises (@p442)) % 0.14/0.41 (step @p348 :rule process_scope :premises (@p443) :args (@t180)) % 0.14/0.41 (step @p351 :rule implies_elim :premises (@p348)) % 0.14/0.41 (step @p352 :rule cnf_and_neg :args (@t184)) % 0.14/0.41 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t184)) % 0.14/0.41 (step @p354 :rule eq_resolve :premises (@p353 @p331)) % 0.14/0.41 (step @p355 :rule chain_m_resolution :premises (@p354 @p328 @p282) :args (@t180 (@list false true) (@list @t113 @t145))) % 0.14/0.41 (step @p356 :rule cnf_or_neg :args (@t125 1)) % 0.14/0.41 (step @p357 :rule chain_m_resolution :premises (@p356 @p190) :args ((not @t117) @t137 @t139)) % 0.14/0.41 (step @p358 :rule cnf_or_pos :args (@t182)) % 0.14/0.41 (step @p359 :rule reordering :premises (@p358) :args ((or @t117 @t181 @t169 (not @t182)))) % 0.14/0.41 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p355 @p322) :args (@t169 (@list true false false) (@list @t117 @t180 @t182))) % 0.14/0.41 (step @p361 :rule refl :args (@t185)) % 0.14/0.41 (step @p362 :rule refl :args (@t186)) % 0.14/0.41 (step @p363 :rule nary_cong :premises (@p223 @p362 @p361) :args ((or @t158 @t186 @t185))) % 0.14/0.41 (assume-push @p444 @t138) % 0.14/0.41 (assume-push @p445 @t141) % 0.14/0.41 (assume-push @p446 @t169) % 0.14/0.41 (step @p367 :rule arith-elim-lt :args (@t140 1)) % 0.14/0.41 (step @p368 :rule symm :premises (@p367)) % 0.14/0.41 (assume-push @p447 @t169) % 0.14/0.41 (step @p370 :rule evaluate :args ((>= 0 0))) % 0.14/0.41 (step @p371 :rule evaluate :args ((+ -1 0 1))) % 0.14/0.41 (step @p372 :rule evaluate :args (@t187)) % 0.14/0.41 (step @p373 :rule evaluate :args (@t188)) % 0.14/0.41 (step @p374 :rule nary_cong :premises (@p373 @p372 @p172) :args (@t189)) % 0.14/0.41 (step @p375 :rule trans :premises (@p374 @p371)) % 0.14/0.41 (step @p376 :rule arith_poly_norm :args ((= (+ @t191 @t190 @t109) 0))) % 0.14/0.41 (step @p377 :rule refl :args (@t109)) % 0.14/0.41 (step @p378 :rule arith_poly_norm :args ((= @t193 @t190))) % 0.14/0.41 (step @p379 :rule refl :args (@t191)) % 0.14/0.41 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377) :args (@t194)) % 0.14/0.41 (step @p381 :rule trans :premises (@p380 @p376)) % 0.14/0.41 (step @p382 :rule cong :premises (@p381 @p375) :args (@t195)) % 0.14/0.41 (step @p383 :rule trans :premises (@p382 @p370)) % 0.14/0.41 (step @p384 :rule cong :premises (@p383) :args ((not @t195))) % 0.14/0.41 (step @p385 :rule trans :premises (@p384 @p9)) % 0.14/0.42 (step @p386 :rule arith-elim-lt :args (@t194 @t189)) % 0.14/0.42 (step @p387 :rule trans :premises (@p386 @p385)) % 0.14/0.42 (step @p237 :rule arith-elim-lt :args (@t109 1)) % 0.14/0.42 (step @p238 :rule symm :premises (@p237)) % 0.14/0.42 (step @p239 :rule eq_resolve :premises (@p192 @p238)) % 0.14/0.42 (step @p388 :rule arith_mult_neg :args (-1 @t196)) % 0.14/0.42 (step @p389 :rule arith_poly_norm :args ((= (* 1 (- @t192 0)) (* 1 (- @t109 @t140))))) % 0.14/0.42 (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args ((= @t196 @t141))) % 0.14/0.42 (step @p391 :rule symm :premises (@p390)) % 0.14/0.42 (step @p392 :rule eq_resolve :premises (@p445 @p391)) % 0.14/0.42 (step @p242 :rule evaluate :args (@t165)) % 0.14/0.42 (step @p243 :rule true_elim :premises (@p242)) % 0.14/0.42 (step @p393 :rule and_intro :premises (@p243 @p392)) % 0.14/0.42 (step @p394 :rule modus_ponens :premises (@p393 @p388)) % 0.14/0.42 (step @p395 :rule arith_mult_neg :args (-1 @t169)) % 0.14/0.42 (step @p396 :rule and_intro :premises (@p243 @p446)) % 0.14/0.42 (step @p397 :rule modus_ponens :premises (@p396 @p395)) % 0.14/0.42 (step @p398 :rule arith_sum_ub :premises (@p397 @p394 @p239)) % 0.14/0.42 (step @p399 false :rule eq_resolve :premises (@p398 @p387)) % 0.14/0.42 (step-pop @p448 :rule scope :premises (@p399)) % 0.14/0.42 (step @p400 :rule process_scope :premises (@p448) :args (false)) % 0.14/0.42 (step @p402 :rule eq_resolve :premises (@p400 @p368)) % 0.14/0.42 (step @p403 :rule eq_resolve :premises (@p402 @p367)) % 0.14/0.42 (step @p404 false :rule contra :premises (@p446 @p403)) % 0.14/0.42 (step-pop @p449 :rule scope :premises (@p404)) % 0.14/0.42 (step-pop @p450 :rule scope :premises (@p449)) % 0.14/0.42 (step-pop @p451 :rule scope :premises (@p450)) % 0.14/0.42 (step @p405 :rule process_scope :premises (@p451) :args (false)) % 0.14/0.42 (step @p409 :rule not_and :premises (@p405)) % 0.14/0.42 (step @p410 :rule eq_resolve :premises (@p409 @p363)) % 0.14/0.42 (step @p411 false :rule chain_m_resolution :premises (@p410 @p360 @p285 @p192) :args (false (@list false false true) (@list @t169 @t141 @t110))) % 0.14/0.42 ) % 0.14/0.42 % SZS output end Proof % 0.14/0.42 % cvc5 exiting %------------------------------------------------------------------------------