%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW642_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:05:24 AM UTC 2026 % Result : Theorem 60.91s 61.18s % Output : Proof 60.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW642_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:20:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_ARI % 60.91/61.18 --- Run --finite-model-find --decision=internal at 45... % 60.91/61.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.91/61.18 --- Run --no-e-matching --full-saturate-quant at 45... % 60.91/61.18 % SZS status Theorem % 60.91/61.18 % SZS output start Proof % 60.91/61.18 ( % 60.91/61.18 (declare-sort tptp.tuple02 0) % 60.91/61.18 (declare-sort tptp.bool1 0) % 60.91/61.18 (declare-sort tptp.ty 0) % 60.91/61.18 (declare-sort tptp.uni 0) % 60.91/61.18 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 60.91/61.18 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 60.91/61.18 (declare-const tptp.false1 tptp.bool1) % 60.91/61.18 (declare-const tptp.fact1 (-> Int Int)) % 60.91/61.18 (declare-const tptp.true1 tptp.bool1) % 60.91/61.18 (declare-const tptp.even1 (-> Int Bool)) % 60.91/61.18 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 60.91/61.18 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 60.91/61.18 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 60.91/61.18 (declare-const tptp.tuple03 tptp.tuple02) % 60.91/61.18 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 60.91/61.18 (define @t1 () (@var "A" tptp.ty)) % 60.91/61.18 (define @t2 () (@var "X2" tptp.uni)) % 60.91/61.18 (define @t3 () (@var "X1" tptp.uni)) % 60.91/61.18 (define @t4 () (@var "X" tptp.bool1)) % 60.91/61.18 (define @t5 () (@var "Z" tptp.uni)) % 60.91/61.18 (define @t6 () (@var "Z1" tptp.uni)) % 60.91/61.18 (define @t7 () (@list @t1 @t5 @t6)) % 60.91/61.18 (define @t8 () (@var "U" tptp.bool1)) % 60.91/61.18 (define @t9 () (@var "U" tptp.tuple02)) % 60.91/61.18 (define @t10 () (@var "Z" Int)) % 60.91/61.18 (define @t11 () (@var "Y" Int)) % 60.91/61.18 (define @t12 () (@var "X" Int)) % 60.91/61.18 (define @t13 () (<= 0 @t10)) % 60.91/61.18 (define @t14 () (@var "X" tptp.uni)) % 60.91/61.18 (define @t15 () (tptp.ref @t1)) % 60.91/61.18 (define @t16 () (@list @t1 @t14)) % 60.91/61.18 (define @t17 () (@var "U" tptp.uni)) % 60.91/61.18 (define @t18 () (@list @t1 @t17)) % 60.91/61.18 (define @t19 () (+ @t12 2)) % 60.91/61.18 (define @t20 () (tptp.even1 @t12)) % 60.91/61.18 (define @t21 () (@list @t12)) % 60.91/61.18 (define @t22 () (@list @t10)) % 60.91/61.18 (define @t23 () (tptp.fact1 0)) % 60.91/61.18 (define @t24 () (= @t23 1)) % 60.91/61.18 (define @t25 () (@var "N" Int)) % 60.91/61.18 (define @t26 () (- @t25 1)) % 60.91/61.18 (define @t27 () (tptp.fact1 @t26)) % 60.91/61.18 (define @t28 () (* @t25 @t27)) % 60.91/61.18 (define @t29 () (tptp.fact1 @t25)) % 60.91/61.18 (define @t30 () (= @t29 @t28)) % 60.91/61.18 (define @t31 () (=> (< 0 @t25) @t30)) % 60.91/61.18 (define @t32 () (@list @t25)) % 60.91/61.18 (define @t33 () (forall @t32 @t31)) % 60.91/61.18 (define @t34 () (tptp.fact1 @t12)) % 60.91/61.18 (define @t35 () (@var "Y1" Int)) % 60.91/61.18 (define @t36 () (= @t35 @t34)) % 60.91/61.18 (define @t37 () (@var "Z1" Int)) % 60.91/61.18 (define @t38 () (= @t37 0)) % 60.91/61.18 (define @t39 () (not @t38)) % 60.91/61.18 (define @t40 () (not @t39)) % 60.91/61.18 (define @t41 () (=> @t40 @t36)) % 60.91/61.18 (define @t42 () (@var "Z2" Int)) % 60.91/61.18 (define @t43 () (<= 0 @t37)) % 60.91/61.18 (define @t44 () (tptp.fact1 @t42)) % 60.91/61.18 (define @t45 () (@var "Y2" Int)) % 60.91/61.18 (define @t46 () (* @t45 @t44)) % 60.91/61.18 (define @t47 () (= @t46 @t34)) % 60.91/61.18 (define @t48 () (and (<= 0 @t42) @t47 @t43 (< @t42 @t37))) % 60.91/61.18 (define @t49 () (- @t37 1)) % 60.91/61.18 (define @t50 () (= @t42 @t49)) % 60.91/61.18 (define @t51 () (=> @t50 @t48)) % 60.91/61.18 (define @t52 () (@list @t42)) % 60.91/61.18 (define @t53 () (forall @t52 @t51)) % 60.91/61.18 (define @t54 () (* @t35 @t37)) % 60.91/61.18 (define @t55 () (= @t45 @t54)) % 60.91/61.18 (define @t56 () (=> @t55 @t53)) % 60.91/61.18 (define @t57 () (@list @t45)) % 60.91/61.18 (define @t58 () (forall @t57 @t56)) % 60.91/61.18 (define @t59 () (=> @t39 @t58)) % 60.91/61.18 (define @t60 () (and @t59 @t41)) % 60.91/61.18 (define @t61 () (tptp.fact1 @t37)) % 60.91/61.18 (define @t62 () (* @t35 @t61)) % 60.91/61.18 (define @t63 () (= @t62 @t34)) % 60.91/61.18 (define @t64 () (and @t43 @t63)) % 60.91/61.18 (define @t65 () (=> @t64 @t60)) % 60.91/61.18 (define @t66 () (@list @t37 @t35)) % 60.91/61.18 (define @t67 () (forall @t66 @t65)) % 60.91/61.18 (define @t68 () (tptp.fact1 @t10)) % 60.91/61.18 (define @t69 () (* @t11 @t68)) % 60.91/61.18 (define @t70 () (= @t69 @t34)) % 60.91/61.18 (define @t71 () (and @t13 @t70 @t67)) % 60.91/61.18 (define @t72 () (= @t10 @t12)) % 60.91/61.18 (define @t73 () (=> @t72 @t71)) % 60.91/61.18 (define @t74 () (forall @t22 @t73)) % 60.91/61.18 (define @t75 () (= @t11 1)) % 60.91/61.18 (define @t76 () (=> @t75 @t74)) % 60.91/61.18 (define @t77 () (@list @t11)) % 60.91/61.18 (define @t78 () (forall @t77 @t76)) % 60.91/61.18 (define @t79 () (=> (<= 0 @t12) @t78)) % 60.91/61.18 (define @t80 () (forall @t21 @t79)) % 60.91/61.18 (define @t81 () (not @t80)) % 60.91/61.18 (define @t82 () (@var "BOUND_VARIABLE_7941" Int)) % 60.91/61.18 (define @t83 () (@var "BOUND_VARIABLE_7939" Int)) % 60.91/61.18 (define @t84 () (= @t83 0)) % 60.91/61.18 (define @t85 () (>= @t83 0)) % 60.91/61.18 (define @t86 () (or (not @t85) (not (= @t34 (* @t82 (tptp.fact1 @t83)))) (and (or @t84 (and (>= @t83 1) (= @t34 (* @t83 @t82 (tptp.fact1 (+ -1 @t83)))) @t85)) (or (not @t84) (= @t82 @t34))))) % 60.91/61.18 (define @t87 () (>= @t12 0)) % 60.91/61.18 (define @t88 () (and @t87 @t86)) % 60.91/61.18 (define @t89 () (not @t87)) % 60.91/61.18 (define @t90 () (or @t89 @t88)) % 60.91/61.18 (define @t91 () (forall (@list @t12 @t83 @t82) @t90)) % 60.91/61.18 (define @t92 () (@list @t83 @t82)) % 60.91/61.18 (define @t93 () (forall @t92 @t90)) % 60.91/61.18 (define @t94 () (forall @t92 @t86)) % 60.91/61.18 (define @t95 () (@var "BOUND_VARIABLE_7910" Int)) % 60.91/61.18 (define @t96 () (@var "BOUND_VARIABLE_7908" Int)) % 60.91/61.18 (define @t97 () (@list @t96 @t95)) % 60.91/61.18 (define @t98 () (forall @t92 @t87)) % 60.91/61.18 (define @t99 () (and @t98 @t94)) % 60.91/61.18 (define @t100 () (forall @t92 @t88)) % 60.91/61.18 (define @t101 () (or @t89 @t100)) % 60.91/61.18 (define @t102 () (= @t96 0)) % 60.91/61.18 (define @t103 () (>= @t96 0)) % 60.91/61.18 (define @t104 () (and @t87 (forall (@list @t96 @t95) (or (not @t103) (not (= @t34 (* @t95 (tptp.fact1 @t96)))) (and (or @t102 (and (>= @t96 1) (= @t34 (* @t96 @t95 (tptp.fact1 (+ -1 @t96)))) @t103)) (or (not @t102) (= @t95 @t34))))))) % 60.91/61.18 (define @t105 () (@var "BOUND_VARIABLE_7870" Int)) % 60.91/61.18 (define @t106 () (@var "BOUND_VARIABLE_7868" Int)) % 60.91/61.18 (define @t107 () (= @t106 0)) % 60.91/61.18 (define @t108 () (>= @t106 0)) % 60.91/61.18 (define @t109 () (or (not @t108) (not (= @t34 (* @t105 (tptp.fact1 @t106)))) (and (or @t107 (and (>= @t106 1) (= @t34 (* @t106 @t105 (tptp.fact1 (+ -1 @t106)))) @t108)) (or (not @t107) (= @t105 @t34))))) % 60.91/61.18 (define @t110 () (@list @t106 @t105)) % 60.91/61.18 (define @t111 () (forall @t110 @t109)) % 60.91/61.18 (define @t112 () (@list @t106 @t105)) % 60.91/61.18 (define @t113 () (forall @t110 @t87)) % 60.91/61.18 (define @t114 () (and @t113 @t111)) % 60.91/61.18 (define @t115 () (and @t87 @t109)) % 60.91/61.18 (define @t116 () (* 1 @t34)) % 60.91/61.18 (define @t117 () (= @t34 @t116)) % 60.91/61.18 (define @t118 () (and @t87 @t117 @t109)) % 60.91/61.18 (define @t119 () (= 1 1)) % 60.91/61.18 (define @t120 () (not @t119)) % 60.91/61.18 (define @t121 () (or @t120 @t118)) % 60.91/61.18 (define @t122 () (= @t34 (* @t11 @t34))) % 60.91/61.18 (define @t123 () (and @t87 @t122 @t109)) % 60.91/61.18 (define @t124 () (not @t75)) % 60.91/61.18 (define @t125 () (or @t124 @t124 @t123)) % 60.91/61.18 (define @t126 () (or @t124 @t123)) % 60.91/61.18 (define @t127 () (forall @t77 @t126)) % 60.91/61.18 (define @t128 () (forall @t110 @t127)) % 60.91/61.18 (define @t129 () (forall (@list @t106 @t105 @t11) @t126)) % 60.91/61.18 (define @t130 () (forall (@list @t11 @t106 @t105) @t126)) % 60.91/61.18 (define @t131 () (forall @t110 @t126)) % 60.91/61.18 (define @t132 () (@var "BOUND_VARIABLE_7839" Int)) % 60.91/61.18 (define @t133 () (@var "BOUND_VARIABLE_7837" Int)) % 60.91/61.18 (define @t134 () (@list @t133 @t132)) % 60.91/61.18 (define @t135 () (forall @t110 @t122)) % 60.91/61.18 (define @t136 () (and @t113 @t135 @t111)) % 60.91/61.18 (define @t137 () (forall @t110 @t123)) % 60.91/61.18 (define @t138 () (or @t124 @t137)) % 60.91/61.18 (define @t139 () (= @t133 0)) % 60.91/61.18 (define @t140 () (>= @t133 0)) % 60.91/61.18 (define @t141 () (and @t87 @t122 (forall (@list @t133 @t132) (or (not @t140) (not (= @t34 (* @t132 (tptp.fact1 @t133)))) (and (or @t139 (and (>= @t133 1) (= @t34 (* @t133 @t132 (tptp.fact1 (+ -1 @t133)))) @t140)) (or (not @t139) (= @t132 @t34))))))) % 60.91/61.18 (define @t142 () (@var "BOUND_VARIABLE_7802" Int)) % 60.91/61.18 (define @t143 () (@var "BOUND_VARIABLE_7800" Int)) % 60.91/61.18 (define @t144 () (= @t143 0)) % 60.91/61.18 (define @t145 () (>= @t143 0)) % 60.91/61.18 (define @t146 () (or (not @t145) (not (= @t34 (* @t142 (tptp.fact1 @t143)))) (and (or @t144 (and (>= @t143 1) (= @t34 (* @t143 @t142 (tptp.fact1 (+ -1 @t143)))) @t145)) (or (not @t144) (= @t142 @t34))))) % 60.91/61.18 (define @t147 () (@list @t143 @t142)) % 60.91/61.18 (define @t148 () (forall @t147 @t146)) % 60.91/61.18 (define @t149 () (@list @t143 @t142)) % 60.91/61.18 (define @t150 () (forall @t147 @t122)) % 60.91/61.18 (define @t151 () (forall @t147 @t87)) % 60.91/61.18 (define @t152 () (and @t151 @t150 @t148)) % 60.91/61.18 (define @t153 () (and @t87 @t122 @t146)) % 60.91/61.18 (define @t154 () (not (= @t12 @t12))) % 60.91/61.18 (define @t155 () (or @t154 @t153)) % 60.91/61.18 (define @t156 () (* @t11 @t68)) % 60.91/61.18 (define @t157 () (= @t34 @t156)) % 60.91/61.18 (define @t158 () (>= @t10 0)) % 60.91/61.18 (define @t159 () (and @t158 @t157 @t146)) % 60.91/61.18 (define @t160 () (= @t12 @t10)) % 60.91/61.18 (define @t161 () (not @t160)) % 60.91/61.18 (define @t162 () (* 1 (- @t10 @t12))) % 60.91/61.18 (define @t163 () (* -1 (- @t12 @t10))) % 60.91/61.18 (define @t164 () (or @t161 @t161 @t159)) % 60.91/61.18 (define @t165 () (or @t161 @t159)) % 60.91/61.18 (define @t166 () (forall @t22 @t165)) % 60.91/61.18 (define @t167 () (forall @t147 @t166)) % 60.91/61.18 (define @t168 () (forall (@list @t143 @t142 @t10) @t165)) % 60.91/61.18 (define @t169 () (forall (@list @t10 @t143 @t142) @t165)) % 60.91/61.18 (define @t170 () (forall @t147 @t165)) % 60.91/61.18 (define @t171 () (forall @t147 @t157)) % 60.91/61.18 (define @t172 () (forall @t147 @t158)) % 60.91/61.18 (define @t173 () (and @t172 @t171 @t148)) % 60.91/61.18 (define @t174 () (forall @t147 @t159)) % 60.91/61.18 (define @t175 () (or @t161 @t174)) % 60.91/61.18 (define @t176 () (>= @t37 0)) % 60.91/61.18 (define @t177 () (+ -1 @t37)) % 60.91/61.18 (define @t178 () (tptp.fact1 @t177)) % 60.91/61.18 (define @t179 () (* @t37 @t35 @t178)) % 60.91/61.18 (define @t180 () (>= @t37 1)) % 60.91/61.18 (define @t181 () (and @t180 (= @t34 @t179) @t176)) % 60.91/61.18 (define @t182 () (and (or @t38 @t181) (or @t39 @t36))) % 60.91/61.18 (define @t183 () (* @t35 @t61)) % 60.91/61.18 (define @t184 () (= @t34 @t183)) % 60.91/61.18 (define @t185 () (not @t184)) % 60.91/61.18 (define @t186 () (not @t176)) % 60.91/61.18 (define @t187 () (or @t186 @t185 @t182)) % 60.91/61.18 (define @t188 () (and @t158 @t157 (forall @t66 @t187))) % 60.91/61.18 (define @t189 () (and (=> @t39 @t181) (=> @t38 @t36))) % 60.91/61.18 (define @t190 () (and @t176 @t184)) % 60.91/61.18 (define @t191 () (* @t37 @t35)) % 60.91/61.18 (define @t192 () (* @t191 @t178)) % 60.91/61.18 (define @t193 () (= @t34 @t192)) % 60.91/61.18 (define @t194 () (and @t180 @t193 @t176)) % 60.91/61.18 (define @t195 () (not (= @t191 @t191))) % 60.91/61.18 (define @t196 () (or @t195 @t194)) % 60.91/61.18 (define @t197 () (= @t34 (* @t45 @t178))) % 60.91/61.18 (define @t198 () (and @t180 @t197 @t176)) % 60.91/61.18 (define @t199 () (= @t45 @t191)) % 60.91/61.18 (define @t200 () (not @t199)) % 60.91/61.18 (define @t201 () (or @t200 @t200 @t198)) % 60.91/61.18 (define @t202 () (or @t200 @t198)) % 60.91/61.18 (define @t203 () (+ 1 (* -1 @t37))) % 60.91/61.18 (define @t204 () (* -1 @t177)) % 60.91/61.18 (define @t205 () (+ @t37 @t204)) % 60.91/61.18 (define @t206 () (>= @t205 1)) % 60.91/61.18 (define @t207 () (>= @t177 0)) % 60.91/61.18 (define @t208 () (and @t207 @t197 @t176 @t206)) % 60.91/61.18 (define @t209 () (+ 1 @t177)) % 60.91/61.18 (define @t210 () (= @t37 @t209)) % 60.91/61.18 (define @t211 () (not @t210)) % 60.91/61.18 (define @t212 () (or @t211 @t208)) % 60.91/61.18 (define @t213 () (+ @t37 (* -1 @t42))) % 60.91/61.18 (define @t214 () (>= @t213 1)) % 60.91/61.18 (define @t215 () (* @t45 @t44)) % 60.91/61.18 (define @t216 () (= @t34 @t215)) % 60.91/61.18 (define @t217 () (and (>= @t42 0) @t216 @t176 @t214)) % 60.91/61.18 (define @t218 () (+ 1 @t42)) % 60.91/61.18 (define @t219 () (= @t37 @t218)) % 60.91/61.18 (define @t220 () (not @t219)) % 60.91/61.18 (define @t221 () (= @t42 @t177)) % 60.91/61.18 (define @t222 () (* -1 (- @t42 @t177))) % 60.91/61.18 (define @t223 () (* 1 (- @t37 @t218))) % 60.91/61.18 (define @t224 () (or @t220 @t220 @t217)) % 60.91/61.18 (define @t225 () (or @t220 @t217)) % 60.91/61.18 (define @t226 () (+ @t213 1)) % 60.91/61.18 (define @t227 () (>= @t42 @t37)) % 60.91/61.18 (define @t228 () (* -1 1)) % 60.91/61.18 (define @t229 () (+ @t37 @t228)) % 60.91/61.18 (define @t230 () (@quantifiers_skolemize @t91 0)) % 60.91/61.18 (define @t231 () (tptp.fact1 @t230)) % 60.91/61.18 (define @t232 () (@quantifiers_skolemize @t91 2)) % 60.91/61.18 (define @t233 () (= @t232 @t231)) % 60.91/61.18 (define @t234 () (@quantifiers_skolemize @t91 1)) % 60.91/61.18 (define @t235 () (= @t234 0)) % 60.91/61.18 (define @t236 () (not @t235)) % 60.91/61.18 (define @t237 () (or @t236 @t233)) % 60.91/61.18 (define @t238 () (>= @t234 0)) % 60.91/61.18 (define @t239 () (+ -1 @t234)) % 60.91/61.18 (define @t240 () (tptp.fact1 @t239)) % 60.91/61.18 (define @t241 () (* @t234 @t232 @t240)) % 60.91/61.18 (define @t242 () (= @t231 @t241)) % 60.91/61.18 (define @t243 () (>= @t234 1)) % 60.91/61.18 (define @t244 () (and @t243 @t242 @t238)) % 60.91/61.18 (define @t245 () (or @t235 @t244)) % 60.91/61.18 (define @t246 () (and @t245 @t237)) % 60.91/61.18 (define @t247 () (tptp.fact1 @t234)) % 60.91/61.18 (define @t248 () (* @t232 @t247)) % 60.91/61.18 (define @t249 () (= @t231 @t248)) % 60.91/61.18 (define @t250 () (not @t249)) % 60.91/61.18 (define @t251 () (not @t238)) % 60.91/61.18 (define @t252 () (or @t251 @t250 @t246)) % 60.91/61.18 (define @t253 () (>= @t230 0)) % 60.91/61.18 (define @t254 () (and @t253 @t252)) % 60.91/61.18 (define @t255 () (not @t253)) % 60.91/61.18 (define @t256 () (or @t255 @t254)) % 60.91/61.18 (define @t257 () (@list true)) % 60.91/61.18 (define @t258 () (@list @t256)) % 60.91/61.18 (define @t259 () (not @t252)) % 60.91/61.18 (define @t260 () (@list false true)) % 60.91/61.18 (define @t261 () (@list @t252)) % 60.91/61.18 (define @t262 () (not @t236)) % 60.91/61.18 (define @t263 () (and @t238 @t236)) % 60.91/61.18 (define @t264 () (>= @t25 1)) % 60.91/61.18 (define @t265 () (+ -1 @t25)) % 60.91/61.18 (define @t266 () (tptp.fact1 @t265)) % 60.91/61.18 (define @t267 () (* @t25 @t266)) % 60.91/61.18 (define @t268 () (= @t29 @t267)) % 60.91/61.18 (define @t269 () (+ @t25 @t228)) % 60.91/61.18 (define @t270 () (+ @t25 1)) % 60.91/61.18 (define @t271 () (>= 0 @t25)) % 60.91/61.18 (define @t272 () (* @t234 @t240)) % 60.91/61.18 (define @t273 () (= @t247 @t272)) % 60.91/61.18 (define @t274 () (not @t243)) % 60.91/61.18 (define @t275 () (or @t274 @t273)) % 60.91/61.18 (define @t276 () (not @t242)) % 60.91/61.18 (define @t277 () (= @t248 @t241)) % 60.91/61.18 (define @t278 () (not @t277)) % 60.91/61.18 (define @t279 () (= false true)) % 60.91/61.18 (define @t280 () (and @t249 @t277 @t276)) % 60.91/61.18 (define @t281 () (= 1 @t247)) % 60.91/61.18 (define @t282 () (= @t247 1)) % 60.91/61.18 (define @t283 () (= 0 @t234)) % 60.91/61.18 (define @t284 () (= 1 @t23)) % 60.91/61.18 (define @t285 () (and @t24 @t235)) % 60.91/61.18 (define @t286 () (@list false false)) % 60.91/61.18 (define @t287 () (@list @t24 @t235)) % 60.91/61.18 (define @t288 () (= @t247 -1)) % 60.91/61.18 (define @t289 () (or @t282 @t288)) % 60.91/61.18 (define @t290 () (@list false)) % 60.91/61.18 (define @t291 () (* -1 @t248)) % 60.91/61.18 (define @t292 () (* 1 (- @t232 @t291))) % 60.91/61.18 (define @t293 () (* -1 @t232)) % 60.91/61.18 (define @t294 () (= @t232 @t291)) % 60.91/61.18 (define @t295 () (- @t232)) % 60.91/61.18 (define @t296 () (= @t248 @t295)) % 60.91/61.18 (define @t297 () (= @t232 @t248)) % 60.91/61.18 (define @t298 () (= @t248 @t232)) % 60.91/61.18 (define @t299 () (or @t298 @t296)) % 60.91/61.18 (define @t300 () (- 1)) % 60.91/61.18 (define @t301 () (= @t247 @t300)) % 60.91/61.18 (define @t302 () (or @t282 @t301)) % 60.91/61.18 (define @t303 () (* 1 @t232)) % 60.91/61.18 (define @t304 () (abs @t303)) % 60.91/61.18 (define @t305 () (* @t247 @t232)) % 60.91/61.18 (define @t306 () (abs @t305)) % 60.91/61.18 (define @t307 () (or @t297 @t294)) % 60.91/61.18 (define @t308 () (@list @t235)) % 60.91/61.18 (define @t309 () (@list true false)) % 60.91/61.18 (define @t310 () (not @t233)) % 60.91/61.18 (define @t311 () (not @t297)) % 60.91/61.18 (define @t312 () (not @t310)) % 60.91/61.18 (define @t313 () (and @t249 @t310)) % 60.91/61.18 (define @t314 () (= 0 0)) % 60.91/61.18 (define @t315 () (+ -1 0)) % 60.91/61.18 (define @t316 () (= (* 0 @t232 (tptp.fact1 @t315)) 0)) % 60.91/61.18 (define @t317 () (= @t241 0)) % 60.91/61.18 (define @t318 () (>= @t241 1)) % 60.91/61.18 (define @t319 () (<= 0 -1)) % 60.91/61.18 (define @t320 () (+ @t228 0)) % 60.91/61.18 (define @t321 () (* -1 @t241)) % 60.91/61.18 (define @t322 () (+ @t321 @t241)) % 60.91/61.18 (define @t323 () (= @t322 0)) % 60.91/61.18 (define @t324 () (< -1 0)) % 60.91/61.18 (define @t325 () (not @t318)) % 60.91/61.18 (define @t326 () (@list @t317)) % 60.91/61.18 (define @t327 () (+ @t231 @t321)) % 60.91/61.18 (define @t328 () (>= @t327 1)) % 60.91/61.18 (define @t329 () (= @t231 1)) % 60.91/61.18 (define @t330 () (not @t329)) % 60.91/61.18 (define @t331 () (not @t328)) % 60.91/61.18 (define @t332 () (not @t331)) % 60.91/61.18 (define @t333 () (>= 0 0)) % 60.91/61.18 (define @t334 () (+ 1 -1 0)) % 60.91/61.18 (define @t335 () (+ 1 @t228 0)) % 60.91/61.18 (define @t336 () (* -1 @t231)) % 60.91/61.18 (define @t337 () (+ @t336 @t321 @t241 @t231)) % 60.91/61.18 (define @t338 () (+ @t241 @t336 @t327)) % 60.91/61.18 (define @t339 () (>= @t338 @t335)) % 60.91/61.18 (define @t340 () (>= @t241 2)) % 60.91/61.18 (define @t341 () (<= 0 -2)) % 60.91/61.18 (define @t342 () (* -1 2)) % 60.91/61.18 (define @t343 () (+ @t342 0)) % 60.91/61.18 (define @t344 () (not @t340)) % 60.91/61.18 (define @t345 () (>= @t248 2)) % 60.91/61.18 (define @t346 () (not @t345)) % 60.91/61.18 (define @t347 () (* -1 0)) % 60.91/61.18 (define @t348 () (+ 2 @t347 @t342 0)) % 60.91/61.18 (define @t349 () (* 0 @t231)) % 60.91/61.18 (define @t350 () (= @t349 0)) % 60.91/61.18 (define @t351 () (* 0 @t248)) % 60.91/61.18 (define @t352 () (+ @t321 @t351 @t241 @t349)) % 60.91/61.18 (define @t353 () (+ @t231 @t291)) % 60.91/61.18 (define @t354 () (* -1 @t353)) % 60.91/61.18 (define @t355 () (+ @t241 @t354 @t291 @t327)) % 60.91/61.18 (define @t356 () (>= @t355 @t348)) % 60.91/61.18 (define @t357 () (= @t353 0)) % 60.91/61.18 (define @t358 () (= (* 1 (- @t353 0)) (* 1 (- @t231 @t248)))) % 60.91/61.18 (define @t359 () (= @t357 @t249)) % 60.91/61.18 (define @t360 () (= @t247 @t248)) % 60.91/61.18 (define @t361 () (not @t360)) % 60.91/61.18 (define @t362 () (not @t24)) % 60.91/61.18 (define @t363 () (and @t24 @t281 @t360 @t249 @t330)) % 60.91/61.18 (define @t364 () (= @t232 0)) % 60.91/61.18 (define @t365 () (= (* 0 @t247) 0)) % 60.91/61.18 (define @t366 () (= @t248 0)) % 60.91/61.18 (define @t367 () (not @t364)) % 60.91/61.18 (define @t368 () (not @t366)) % 60.91/61.18 (define @t369 () (and @t235 @t364 @t366 @t249 @t310)) % 60.91/61.18 (define @t370 () (not @t256)) % 60.91/61.18 (define @t371 () (not @t91)) % 60.91/61.18 (define @t372 () (>= @t232 -1)) % 60.91/61.18 (define @t373 () (not @t294)) % 60.91/61.18 (define @t374 () (not @t372)) % 60.91/61.18 (define @t375 () (+ -1 @t347 1)) % 60.91/61.18 (define @t376 () (+ @t293 @t291)) % 60.91/61.18 (define @t377 () (+ @t232 @t248)) % 60.91/61.18 (define @t378 () (* -1 @t377)) % 60.91/61.18 (define @t379 () (+ @t232 @t378 @t248)) % 60.91/61.18 (define @t380 () (>= @t379 @t375)) % 60.91/61.18 (define @t381 () (= @t377 0)) % 60.91/61.18 (define @t382 () (= (* 1 (- @t377 0)) @t292)) % 60.91/61.18 (define @t383 () (= @t381 @t294)) % 60.91/61.18 (define @t384 () (* 1 (- @t247 @t291))) % 60.91/61.18 (define @t385 () (* -1 @t247)) % 60.91/61.18 (define @t386 () (= @t247 @t291)) % 60.91/61.18 (define @t387 () (= @t248 @t385)) % 60.91/61.18 (define @t388 () (= @t232 -1)) % 60.91/61.18 (define @t389 () (= (* -1 @t247) @t385)) % 60.91/61.18 (define @t390 () (>= @t231 0)) % 60.91/61.18 (define @t391 () (+ @t247 @t248)) % 60.91/61.18 (define @t392 () (= @t391 0)) % 60.91/61.18 (define @t393 () (+ 0 @t228 0 @t347)) % 60.91/61.18 (define @t394 () (+ @t385 @t336 @t291 @t248 @t247 @t231)) % 60.91/61.18 (define @t395 () (+ @t391 @t385 @t353 @t336)) % 60.91/61.18 (define @t396 () (= (* 1 (- @t391 0)) @t384)) % 60.91/61.18 (define @t397 () (= @t392 @t386)) % 60.91/61.18 (define @t398 () (and @t390 @t249 @t281 @t386)) % 60.91/61.18 (define @t399 () (>= @t247 2)) % 60.91/61.18 (define @t400 () (+ @t342 1)) % 60.91/61.18 (define @t401 () (+ @t385 @t247)) % 60.91/61.18 (define @t402 () (not @t399)) % 60.91/61.18 (define @t403 () (not @t386)) % 60.91/61.18 (define @t404 () (not @t388)) % 60.91/61.18 (define @t405 () (not @t390)) % 60.91/61.18 (define @t406 () (not @t405)) % 60.91/61.18 (define @t407 () (not @t402)) % 60.91/61.18 (define @t408 () (= -1 @t231)) % 60.91/61.18 (define @t409 () (not @t408)) % 60.91/61.18 (define @t410 () (+ @t347 2 @t347 -2)) % 60.91/61.18 (define @t411 () (+ @t336 @t248)) % 60.91/61.18 (define @t412 () (+ @t385 @t291)) % 60.91/61.18 (define @t413 () (* -1 @t391)) % 60.91/61.18 (define @t414 () (+ @t413 @t247 @t354 @t231)) % 60.91/61.18 (define @t415 () (>= @t414 @t410)) % 60.91/61.18 (define @t416 () (and @t409 @t405 @t249 @t402 @t386)) % 60.91/61.18 (define @t417 () (>= @t232 0)) % 60.91/61.18 (define @t418 () (not @t417)) % 60.91/61.18 (define @t419 () (not @t418)) % 60.91/61.18 (define @t420 () (and @t418 @t372)) % 60.91/61.18 (define @t421 () (>= @t232 1)) % 60.91/61.18 (define @t422 () (not @t367)) % 60.91/61.18 (define @t423 () (and @t367 @t417)) % 60.91/61.18 (define @t424 () (= @t232 1)) % 60.91/61.18 (define @t425 () (>= @t232 2)) % 60.91/61.18 (define @t426 () (not @t421)) % 60.91/61.18 (define @t427 () (not @t425)) % 60.91/61.18 (define @t428 () (and @t421 @t427)) % 60.91/61.18 (define @t429 () (ite @t417 @t425 @t374)) % 60.91/61.18 (define @t430 () (= @t247 0)) % 60.91/61.18 (define @t431 () (not @t430)) % 60.91/61.18 (define @t432 () (>= @t248 -1)) % 60.91/61.18 (define @t433 () (not @t432)) % 60.91/61.18 (define @t434 () (>= @t248 1)) % 60.91/61.18 (define @t435 () (not @t434)) % 60.91/61.18 (define @t436 () (- @t248)) % 60.91/61.18 (define @t437 () (<= @t436 @t300)) % 60.91/61.18 (define @t438 () (<= @t436 1)) % 60.91/61.18 (define @t439 () (>= 1 0)) % 60.91/61.18 (define @t440 () (ite @t439 (> @t436 1) (> @t436 @t300))) % 60.91/61.18 (define @t441 () (>= @t248 0)) % 60.91/61.18 (define @t442 () (+ -1 1)) % 60.91/61.18 (define @t443 () (>= @t248 @t442)) % 60.91/61.18 (define @t444 () (<= @t248 @t300)) % 60.91/61.18 (define @t445 () (+ 1 1)) % 60.91/61.18 (define @t446 () (>= @t248 @t445)) % 60.91/61.18 (define @t447 () (ite @t439 (> @t248 1) (> @t248 @t300))) % 60.91/61.18 (define @t448 () (ite @t441 @t447 @t440)) % 60.91/61.18 (define @t449 () (<= @t295 @t300)) % 60.91/61.18 (define @t450 () (<= @t295 1)) % 60.91/61.18 (define @t451 () (ite @t439 (> @t295 1) (> @t295 @t300))) % 60.91/61.18 (define @t452 () (>= @t232 @t442)) % 60.91/61.18 (define @t453 () (<= @t232 @t300)) % 60.91/61.18 (define @t454 () (>= @t232 @t445)) % 60.91/61.18 (define @t455 () (ite @t439 (> @t232 1) (> @t232 @t300))) % 60.91/61.18 (define @t456 () (ite @t417 @t455 @t451)) % 60.91/61.18 (define @t457 () (and @t456 @t302 @t367 @t431)) % 60.91/61.18 (define @t458 () (abs @t248)) % 60.91/61.18 (define @t459 () (>= @t458 2)) % 60.91/61.18 (define @t460 () (>= @t458 @t445)) % 60.91/61.18 (define @t461 () (not @t460)) % 60.91/61.18 (define @t462 () (abs 1)) % 60.91/61.18 (define @t463 () (<= @t458 @t462)) % 60.91/61.18 (define @t464 () (not @t463)) % 60.91/61.18 (define @t465 () (not (>= @t462 @t458))) % 60.91/61.18 (define @t466 () (* 1 1)) % 60.91/61.18 (define @t467 () (abs @t466)) % 60.91/61.18 (define @t468 () (<= @t458 @t467)) % 60.91/61.18 (define @t469 () (not @t468)) % 60.91/61.18 (define @t470 () (not (>= @t467 @t458))) % 60.91/61.18 (define @t471 () (and @t429 @t289 @t367 @t431)) % 60.91/61.18 (define @t472 () (ite @t441 @t345 @t433)) % 60.91/61.18 (define @t473 () (>= @t247 -1)) % 60.91/61.18 (define @t474 () (not @t473)) % 60.91/61.18 (define @t475 () (>= @t247 1)) % 60.91/61.18 (define @t476 () (not @t475)) % 60.91/61.18 (define @t477 () (- @t247)) % 60.91/61.18 (define @t478 () (<= @t477 @t300)) % 60.91/61.18 (define @t479 () (<= @t477 1)) % 60.91/61.18 (define @t480 () (ite @t439 (> @t477 1) (> @t477 @t300))) % 60.91/61.18 (define @t481 () (>= @t247 0)) % 60.91/61.18 (define @t482 () (>= @t247 @t442)) % 60.91/61.18 (define @t483 () (<= @t247 @t300)) % 60.91/61.18 (define @t484 () (>= @t247 @t445)) % 60.91/61.18 (define @t485 () (> @t247 1)) % 60.91/61.18 (define @t486 () (ite @t439 @t485 (> @t247 @t300))) % 60.91/61.18 (define @t487 () (ite @t481 @t486 @t480)) % 60.91/61.18 (define @t488 () (and @t456 @t487 @t367 @t431)) % 60.91/61.18 (define @t489 () (ite @t481 @t399 @t474)) % 60.91/61.18 (define @t490 () (and @t429 @t489 @t367 @t431)) % 60.91/61.18 (define @t491 () (not @t289)) % 60.91/61.18 (define @t492 () (not @t429)) % 60.91/61.18 (define @t493 () (not @t431)) % 60.91/61.18 (define @t494 () (not @t489)) % 60.91/61.18 (define @t495 () (not @t481)) % 60.91/61.18 (define @t496 () (and @t431 @t481)) % 60.91/61.18 (define @t497 () (not @t282)) % 60.91/61.18 (define @t498 () (and @t402 @t475 @t497)) % 60.91/61.18 (define @t499 () (not @t288)) % 60.91/61.18 (define @t500 () (not @t441)) % 60.91/61.18 (define @t501 () (+ @t228 -1)) % 60.91/61.18 (define @t502 () (+ @t291 @t248)) % 60.91/61.18 (define @t503 () (< @t247 0)) % 60.91/61.18 (define @t504 () (+ 0 @t228)) % 60.91/61.18 (define @t505 () (+ @t247 @t385)) % 60.91/61.18 (define @t506 () (>= @t505 @t504)) % 60.91/61.18 (define @t507 () (and @t421 @t475)) % 60.91/61.18 (define @t508 () (+ 0 1)) % 60.91/61.18 (define @t509 () (>= @t248 @t508)) % 60.91/61.18 (define @t510 () (>= @t247 @t508)) % 60.91/61.18 (define @t511 () (>= @t232 @t508)) % 60.91/61.18 (define @t512 () (> @t247 0)) % 60.91/61.18 (define @t513 () (and (> @t232 0) @t512)) % 60.91/61.18 (define @t514 () (= @t248 @t247)) % 60.91/61.18 (define @t515 () (= (* 1 @t247) @t247)) % 60.91/61.18 (define @t516 () (>= @t231 1)) % 60.91/61.18 (define @t517 () (not @t317)) % 60.91/61.18 (define @t518 () (not @t516)) % 60.91/61.18 (define @t519 () (+ 1 @t228 @t347)) % 60.91/61.18 (define @t520 () (+ @t336 @t241)) % 60.91/61.18 (define @t521 () (* -1 @t327)) % 60.91/61.18 (define @t522 () (+ @t231 @t521 @t321)) % 60.91/61.18 (define @t523 () (>= @t522 @t519)) % 60.91/61.18 (define @t524 () (>= @t231 @t508)) % 60.91/61.18 (define @t525 () (<= @t231 0)) % 60.91/61.18 (define @t526 () (not @t525)) % 60.91/61.18 (define @t527 () (+ @t347 0)) % 60.91/61.18 (define @t528 () (+ @t336 @t231)) % 60.91/61.18 (define @t529 () (>= @t528 @t527)) % 60.91/61.18 (define @t530 () (+ 1 0 @t347 @t228)) % 60.91/61.18 (define @t531 () (* 0 @t241)) % 60.91/61.18 (define @t532 () (+ @t531 @t291 @t248 @t349)) % 60.91/61.18 (define @t533 () (+ @t248 @t353 @t321 @t521)) % 60.91/61.18 (define @t534 () (>= @t533 @t530)) % 60.91/61.18 (define @t535 () (and (< @t232 0) @t512)) % 60.91/61.18 (define @t536 () (and @t418 @t475)) % 60.91/61.18 (define @t537 () (not @t536)) % 60.91/61.18 (define @t538 () (+ @t347 0 0 @t228)) % 60.91/61.18 (define @t539 () (+ @t293 @t336 @t291 @t248 @t231 @t232)) % 60.91/61.18 (define @t540 () (+ @t336 @t353 @t377 @t293)) % 60.91/61.18 (define @t541 () (and @t421 @t294 @t249 @t390)) % 60.91/61.18 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 60.91/61.18 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 60.91/61.18 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 60.91/61.18 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 60.91/61.18 (assume @p5 (not (= tptp.true1 tptp.false1))) % 60.91/61.18 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 60.91/61.18 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 60.91/61.18 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 60.91/61.18 (assume @p9 (forall @t16 (tptp.sort1 @t15 (tptp.mk_ref @t1 @t14)))) % 60.91/61.18 (assume @p10 (forall @t16 (tptp.sort1 @t1 (tptp.contents @t1 @t14)))) % 60.91/61.18 (assume @p11 (forall @t18 (=> (tptp.sort1 @t1 @t17) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t17)) @t17)))) % 60.91/61.18 (assume @p12 (forall @t18 (=> (tptp.sort1 @t15 @t17) (= @t17 (tptp.mk_ref @t1 (tptp.contents @t1 @t17)))))) % 60.91/61.18 (assume @p13 (tptp.even1 0)) % 60.91/61.18 (assume @p14 (forall @t21 (=> @t20 (tptp.even1 @t19)))) % 60.91/61.18 (assume @p15 (forall @t22 (=> (tptp.even1 @t10) (or (= @t10 0) (exists @t21 (and @t20 (= @t10 @t19))))))) % 60.91/61.18 (assume @p16 (forall @t21 (=> @t20 (=> (tptp.even1 (+ @t12 1)) false)))) % 60.91/61.18 (assume @p17 @t24) % 60.91/61.18 (assume @p18 @t33) % 60.91/61.18 (assume @p19 @t81) % 60.91/61.18 (assume @p20 true) % 60.91/61.18 (step @p21 :rule quant-merge-prenex :args ((= (forall @t21 @t93) @t91))) % 60.91/61.18 (step @p22 :rule alpha_equiv :args (@t94 (@list @t83 @t82) @t97)) % 60.91/61.18 (step @p23 :rule quant-unused-vars :args ((= @t98 @t87))) % 60.91/61.18 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t99)) % 60.91/61.18 (step @p25 :rule quant-miniscope-and :args ((= @t100 @t99))) % 60.91/61.18 (step @p26 :rule trans :premises (@p25 @p24)) % 60.91/61.18 (step @p27 :rule refl :args (@t89)) % 60.91/61.18 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t101)) % 60.91/61.18 (step @p29 :rule quant-miniscope-or :args ((= @t93 @t101))) % 60.91/61.18 (step @p30 :rule trans :premises (@p29 @p28)) % 60.91/61.18 (step @p31 :rule symm :premises (@p30)) % 60.91/61.18 (step @p32 :rule cong :premises (@p31) :args ((forall @t21 (or @t89 @t104)))) % 60.91/61.18 (step @p33 :rule trans :premises (@p32 @p21)) % 60.91/61.18 (step @p34 :rule bool-impl-elim :args (@t87 @t104)) % 60.91/61.18 (step @p35 :rule cong :premises (@p34) :args ((forall @t21 (=> @t87 @t104)))) % 60.91/61.18 (step @p36 :rule trans :premises (@p35 @p33)) % 60.91/61.18 (step @p37 :rule alpha_equiv :args (@t111 @t112 @t97)) % 60.91/61.18 (step @p38 :rule quant-unused-vars :args ((= @t113 @t87))) % 60.91/61.18 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t114)) % 60.91/61.18 (step @p40 :rule quant-miniscope-and :args ((= (forall @t110 @t115) @t114))) % 60.91/61.18 (step @p41 :rule trans :premises (@p40 @p39)) % 60.91/61.18 (step @p42 :rule aci_norm :args ((= (or false @t115) @t115))) % 60.91/61.18 (step @p43 :rule aci_norm :args ((= (and @t87 true @t109) @t115))) % 60.91/61.18 (step @p44 :rule refl :args (@t109)) % 60.91/61.18 (step @p45 :rule eq-refl :args (@t34)) % 60.91/61.18 (step @p46 :rule arith_poly_norm :args ((= @t116 @t34))) % 60.91/61.18 (step @p47 :rule refl :args (@t34)) % 60.91/61.18 (step @p48 :rule cong :premises (@p47 @p46) :args (@t117)) % 60.91/61.18 (step @p49 :rule trans :premises (@p48 @p45)) % 60.91/61.18 (step @p50 :rule refl :args (@t87)) % 60.91/61.18 (step @p51 :rule nary_cong :premises (@p50 @p49 @p44) :args (@t118)) % 60.91/61.18 (step @p52 :rule trans :premises (@p51 @p43)) % 60.91/61.18 (step @p53 :rule evaluate :args ((not true))) % 60.91/61.18 (step @p54 :rule evaluate :args (@t119)) % 60.91/61.18 (step @p55 :rule cong :premises (@p54) :args (@t120)) % 60.91/61.18 (step @p56 :rule trans :premises (@p55 @p53)) % 60.91/61.18 (step @p57 :rule nary_cong :premises (@p56 @p52) :args (@t121)) % 60.91/61.18 (step @p58 :rule trans :premises (@p57 @p42)) % 60.91/61.18 (step @p59 :rule cong :premises (@p58) :args ((forall @t110 @t121))) % 60.91/61.18 (step @p60 :rule trans :premises (@p59 @p41)) % 60.91/61.18 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t77 @t125) @t121))) % 60.91/61.18 (step @p62 :rule aci_norm :args ((= @t126 @t125))) % 60.91/61.18 (step @p63 :rule cong :premises (@p62) :args (@t127)) % 60.91/61.18 (step @p64 :rule trans :premises (@p63 @p61)) % 60.91/61.18 (step @p65 :rule cong :premises (@p64) :args (@t128)) % 60.91/61.18 (step @p66 :rule quant-merge-prenex :args ((= @t128 @t129))) % 60.91/61.18 (step @p67 :rule symm :premises (@p66)) % 60.91/61.18 (step @p68 :rule quant_var_reordering :args ((= @t130 @t129))) % 60.91/61.18 (step @p69 :rule trans :premises (@p68 @p67 @p65)) % 60.91/61.18 (step @p70 :rule trans :premises (@p69 @p60)) % 60.91/61.18 (step @p71 :rule quant-merge-prenex :args ((= (forall @t77 @t131) @t130))) % 60.91/61.18 (step @p72 :rule alpha_equiv :args (@t111 @t112 @t134)) % 60.91/61.18 (step @p73 :rule quant-unused-vars :args ((= @t135 @t122))) % 60.91/61.18 (step @p74 :rule nary_cong :premises (@p38 @p73 @p72) :args (@t136)) % 60.91/61.18 (step @p75 :rule quant-miniscope-and :args ((= @t137 @t136))) % 60.91/61.18 (step @p76 :rule trans :premises (@p75 @p74)) % 60.91/61.18 (step @p77 :rule refl :args (@t124)) % 60.91/61.18 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t138)) % 60.91/61.18 (step @p79 :rule quant-miniscope-or :args ((= @t131 @t138))) % 60.91/61.18 (step @p80 :rule trans :premises (@p79 @p78)) % 60.91/61.18 (step @p81 :rule symm :premises (@p80)) % 60.91/61.18 (step @p82 :rule cong :premises (@p81) :args ((forall @t77 (or @t124 @t141)))) % 60.91/61.18 (step @p83 :rule trans :premises (@p82 @p71)) % 60.91/61.18 (step @p84 :rule trans :premises (@p83 @p70)) % 60.91/61.18 (step @p85 :rule bool-impl-elim :args (@t75 @t141)) % 60.91/61.18 (step @p86 :rule cong :premises (@p85) :args ((forall @t77 (=> @t75 @t141)))) % 60.91/61.18 (step @p87 :rule trans :premises (@p86 @p84)) % 60.91/61.18 (step @p88 :rule alpha_equiv :args (@t148 @t149 @t134)) % 60.91/61.18 (step @p89 :rule quant-unused-vars :args ((= @t150 @t122))) % 60.91/61.18 (step @p90 :rule quant-unused-vars :args ((= @t151 @t87))) % 60.91/61.18 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t152)) % 60.91/61.18 (step @p92 :rule quant-miniscope-and :args ((= (forall @t147 @t153) @t152))) % 60.91/61.18 (step @p93 :rule trans :premises (@p92 @p91)) % 60.91/61.18 (step @p94 :rule aci_norm :args ((= (or false @t153) @t153))) % 60.91/61.18 (step @p95 :rule refl :args (@t153)) % 60.91/61.18 (step @p96 :rule eq-refl :args (@t12)) % 60.91/61.18 (step @p97 :rule cong :premises (@p96) :args (@t154)) % 60.91/61.18 (step @p98 :rule trans :premises (@p97 @p53)) % 60.91/61.18 (step @p99 :rule nary_cong :premises (@p98 @p95) :args (@t155)) % 60.91/61.18 (step @p100 :rule trans :premises (@p99 @p94)) % 60.91/61.18 (step @p101 :rule cong :premises (@p100) :args ((forall @t147 @t155))) % 60.91/61.18 (step @p102 :rule trans :premises (@p101 @p93)) % 60.91/61.18 (step @p103 :rule quant-var-elim-eq :args ((= (forall @t22 (or (not @t72) @t161 @t159)) @t155))) % 60.91/61.18 (step @p104 :rule refl :args (@t159)) % 60.91/61.18 (step @p105 :rule refl :args (@t161)) % 60.91/61.18 (step @p106 :rule arith_poly_norm :args ((= @t163 @t162))) % 60.91/61.18 (step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= @t160 @t72))) % 60.91/61.18 (step @p108 :rule cong :premises (@p107) :args (@t161)) % 60.91/61.18 (step @p109 :rule nary_cong :premises (@p108 @p105 @p104) :args (@t164)) % 60.91/61.18 (step @p110 :rule aci_norm :args ((= @t165 @t164))) % 60.91/61.18 (step @p111 :rule trans :premises (@p110 @p109)) % 60.91/61.18 (step @p112 :rule cong :premises (@p111) :args (@t166)) % 60.91/61.18 (step @p113 :rule trans :premises (@p112 @p103)) % 60.91/61.18 (step @p114 :rule cong :premises (@p113) :args (@t167)) % 60.91/61.18 (step @p115 :rule quant-merge-prenex :args ((= @t167 @t168))) % 60.91/61.18 (step @p116 :rule symm :premises (@p115)) % 60.91/61.18 (step @p117 :rule quant_var_reordering :args ((= @t169 @t168))) % 60.91/61.18 (step @p118 :rule trans :premises (@p117 @p116 @p114)) % 60.91/61.18 (step @p119 :rule trans :premises (@p118 @p102)) % 60.91/61.18 (step @p120 :rule quant-merge-prenex :args ((= (forall @t22 @t170) @t169))) % 60.91/61.18 (step @p121 :rule alpha_equiv :args (@t148 @t149 (@list @t37 @t35))) % 60.91/61.18 (step @p122 :rule quant-unused-vars :args ((= @t171 @t157))) % 60.91/61.18 (step @p123 :rule quant-unused-vars :args ((= @t172 @t158))) % 60.91/61.18 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t173)) % 60.91/61.18 (step @p125 :rule quant-miniscope-and :args ((= @t174 @t173))) % 60.91/61.18 (step @p126 :rule trans :premises (@p125 @p124)) % 60.91/61.18 (step @p127 :rule nary_cong :premises (@p105 @p126) :args (@t175)) % 60.91/61.18 (step @p128 :rule quant-miniscope-or :args ((= @t170 @t175))) % 60.91/61.18 (step @p129 :rule trans :premises (@p128 @p127)) % 60.91/61.18 (step @p130 :rule symm :premises (@p129)) % 60.91/61.18 (step @p131 :rule cong :premises (@p130) :args ((forall @t22 (or @t161 @t188)))) % 60.91/61.18 (step @p132 :rule trans :premises (@p131 @p120)) % 60.91/61.18 (step @p133 :rule trans :premises (@p132 @p119)) % 60.91/61.18 (step @p134 :rule bool-impl-elim :args (@t160 @t188)) % 60.91/61.18 (step @p135 :rule cong :premises (@p134) :args ((forall @t22 (=> @t160 @t188)))) % 60.91/61.18 (step @p136 :rule trans :premises (@p135 @p133)) % 60.91/61.18 (step @p137 :rule aci_norm :args ((= (or (or @t186 @t185) @t182) @t187))) % 60.91/61.18 (step @p138 :rule bool-impl-elim :args (@t38 @t36)) % 60.91/61.18 (step @p139 :rule refl :args (@t181)) % 60.91/61.18 (step @p140 :rule bool-double-not-elim :args (@t38)) % 60.91/61.18 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t40 @t181))) % 60.91/61.18 (step @p142 :rule bool-impl-elim :args (@t39 @t181)) % 60.91/61.18 (step @p143 :rule trans :premises (@p142 @p141)) % 60.91/61.18 (step @p144 :rule nary_cong :premises (@p143 @p138) :args (@t189)) % 60.91/61.18 (step @p145 :rule bool-and-de-morgan :args (@t176 @t184 true)) % 60.91/61.18 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t190) @t189))) % 60.91/61.18 (step @p147 :rule trans :premises (@p146 @p137)) % 60.91/61.18 (step @p148 :rule bool-impl-elim :args (@t190 @t189)) % 60.91/61.18 (step @p149 :rule trans :premises (@p148 @p147)) % 60.91/61.18 (step @p150 :rule cong :premises (@p149) :args ((forall @t66 (=> @t190 @t189)))) % 60.91/61.18 (step @p151 :rule refl :args (@t36)) % 60.91/61.18 (step @p152 :rule cong :premises (@p140 @p151) :args (@t41)) % 60.91/61.18 (step @p153 :rule aci_norm :args ((= (or false @t181) @t181))) % 60.91/61.18 (step @p154 :rule refl :args (@t176)) % 60.91/61.18 (step @p155 :rule arith_poly_norm :args ((= @t192 @t179))) % 60.91/61.18 (step @p156 :rule cong :premises (@p47 @p155) :args (@t193)) % 60.91/61.18 (step @p157 :rule refl :args (@t180)) % 60.91/61.18 (step @p158 :rule nary_cong :premises (@p157 @p156 @p154) :args (@t194)) % 60.91/61.18 (step @p159 :rule eq-refl :args (@t191)) % 60.91/61.18 (step @p160 :rule cong :premises (@p159) :args (@t195)) % 60.91/61.18 (step @p161 :rule trans :premises (@p160 @p53)) % 60.91/61.18 (step @p162 :rule nary_cong :premises (@p161 @p158) :args (@t196)) % 60.91/61.18 (step @p163 :rule trans :premises (@p162 @p153)) % 60.91/61.18 (step @p164 :rule quant-var-elim-eq :args ((= (forall @t57 @t201) @t196))) % 60.91/61.18 (step @p165 :rule aci_norm :args ((= @t202 @t201))) % 60.91/61.18 (step @p166 :rule cong :premises (@p165) :args ((forall @t57 @t202))) % 60.91/61.18 (step @p167 :rule trans :premises (@p166 @p164)) % 60.91/61.18 (step @p168 :rule trans :premises (@p167 @p163)) % 60.91/61.18 (step @p169 :rule bool-impl-elim :args (@t199 @t198)) % 60.91/61.18 (step @p170 :rule cong :premises (@p169) :args ((forall @t57 (=> @t199 @t198)))) % 60.91/61.18 (step @p171 :rule trans :premises (@p170 @p168)) % 60.91/61.18 (step @p172 :rule aci_norm :args ((= (or false @t198) @t198))) % 60.91/61.18 (step @p173 :rule aci_norm :args ((= (and @t180 @t197 @t176 true) @t198))) % 60.91/61.18 (step @p174 :rule evaluate :args ((>= 1 1))) % 60.91/61.18 (step @p175 :rule refl :args (1)) % 60.91/61.18 (step @p176 :rule arith_poly_norm :args ((= (+ @t37 @t203) 1))) % 60.91/61.18 (step @p177 :rule arith_poly_norm :args ((= @t204 @t203))) % 60.91/61.18 (step @p178 :rule refl :args (@t37)) % 60.91/61.18 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t205)) % 60.91/61.18 (step @p180 :rule trans :premises (@p179 @p176)) % 60.91/61.18 (step @p181 :rule cong :premises (@p180 @p175) :args (@t206)) % 60.91/61.18 (step @p182 :rule trans :premises (@p181 @p174)) % 60.91/61.18 (step @p183 :rule refl :args (@t197)) % 60.91/61.18 (step @p184 :rule arith_poly_norm :args ((= (* -1 (- @t177 0)) (* -1 @t49)))) % 60.91/61.18 (step @p185 :rule arith_poly_norm_rel :premises (@p184) :args ((= @t207 @t180))) % 60.91/61.18 (step @p186 :rule nary_cong :premises (@p185 @p183 @p154 @p182) :args (@t208)) % 60.91/61.18 (step @p187 :rule trans :premises (@p186 @p173)) % 60.91/61.18 (step @p188 :rule eq-refl :args (@t37)) % 60.91/61.18 (step @p189 :rule arith_poly_norm :args ((= @t209 @t37))) % 60.91/61.18 (step @p190 :rule cong :premises (@p178 @p189) :args (@t210)) % 60.91/61.18 (step @p191 :rule trans :premises (@p190 @p188)) % 60.91/61.18 (step @p192 :rule cong :premises (@p191) :args (@t211)) % 60.91/61.18 (step @p193 :rule trans :premises (@p192 @p53)) % 60.91/61.18 (step @p194 :rule nary_cong :premises (@p193 @p187) :args (@t212)) % 60.91/61.18 (step @p195 :rule trans :premises (@p194 @p172)) % 60.91/61.18 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t52 (or (not @t221) @t220 @t217)) @t212))) % 60.91/61.18 (step @p197 :rule refl :args (@t217)) % 60.91/61.18 (step @p198 :rule refl :args (@t220)) % 60.91/61.18 (step @p199 :rule arith_poly_norm :args ((= @t223 @t222))) % 60.91/61.18 (step @p200 :rule arith_poly_norm_rel :premises (@p199) :args ((= @t219 @t221))) % 60.91/61.18 (step @p201 :rule cong :premises (@p200) :args (@t220)) % 60.91/61.18 (step @p202 :rule nary_cong :premises (@p201 @p198 @p197) :args (@t224)) % 60.91/61.18 (step @p203 :rule aci_norm :args ((= @t225 @t224))) % 60.91/61.18 (step @p204 :rule trans :premises (@p203 @p202)) % 60.91/61.18 (step @p205 :rule cong :premises (@p204) :args ((forall @t52 @t225))) % 60.91/61.18 (step @p206 :rule trans :premises (@p205 @p196)) % 60.91/61.18 (step @p207 :rule trans :premises (@p206 @p195)) % 60.91/61.18 (step @p208 :rule bool-impl-elim :args (@t219 @t217)) % 60.91/61.18 (step @p209 :rule cong :premises (@p208) :args ((forall @t52 (=> @t219 @t217)))) % 60.91/61.18 (step @p210 :rule trans :premises (@p209 @p207)) % 60.91/61.18 (step @p211 :rule bool-double-not-elim :args (@t214)) % 60.91/61.18 (step @p212 :rule arith_poly_norm :args ((= (* -1 (- 1 @t226)) (* -1 (- @t42 @t37))))) % 60.91/61.18 (step @p213 :rule arith_poly_norm_rel :premises (@p212) :args ((= (>= 1 @t226) @t227))) % 60.91/61.18 (step @p214 :rule arith-geq-tighten :args (@t213 1)) % 60.91/61.18 (step @p215 :rule trans :premises (@p214 @p213)) % 60.91/61.18 (step @p216 :rule symm :premises (@p215)) % 60.91/61.18 (step @p217 :rule cong :premises (@p216) :args ((not @t227))) % 60.91/61.18 (step @p218 :rule trans :premises (@p217 @p211)) % 60.91/61.18 (step @p219 :rule arith-elim-lt :args (@t42 @t37)) % 60.91/61.18 (step @p220 :rule trans :premises (@p219 @p218)) % 60.91/61.18 (step @p221 :rule arith-elim-leq :args (0 @t37)) % 60.91/61.18 (step @p222 :rule arith_poly_norm :args ((= (* 1 (- @t215 @t34)) (* -1 (- @t34 @t215))))) % 60.91/61.18 (step @p223 :rule arith_poly_norm_rel :premises (@p222) :args ((= (= @t215 @t34) @t216))) % 60.91/61.18 (step @p224 :rule arith_poly_norm :args ((= @t46 @t215))) % 60.91/61.18 (step @p225 :rule cong :premises (@p224 @p47) :args (@t47)) % 60.91/61.18 (step @p226 :rule trans :premises (@p225 @p223)) % 60.91/61.18 (step @p227 :rule arith-elim-leq :args (0 @t42)) % 60.91/61.18 (step @p228 :rule nary_cong :premises (@p227 @p226 @p221 @p220) :args (@t48)) % 60.91/61.18 (step @p229 :rule arith_poly_norm :args ((= @t222 @t223))) % 60.91/61.18 (step @p230 :rule arith_poly_norm_rel :premises (@p229) :args ((= @t221 @t219))) % 60.91/61.18 (step @p231 :rule arith_poly_norm :args ((= (+ @t37 -1) @t177))) % 60.91/61.18 (step @p232 :rule evaluate :args (@t228)) % 60.91/61.18 (step @p233 :rule nary_cong :premises (@p178 @p232) :args (@t229)) % 60.91/61.18 (step @p234 :rule trans :premises (@p233 @p231)) % 60.91/61.18 (step @p235 :rule arith_poly_norm :args ((= @t49 @t229))) % 60.91/61.18 (step @p236 :rule trans :premises (@p235 @p234)) % 60.91/61.18 (step @p237 :rule refl :args (@t42)) % 60.91/61.18 (step @p238 :rule cong :premises (@p237 @p236) :args (@t50)) % 60.91/61.18 (step @p239 :rule trans :premises (@p238 @p230)) % 60.91/61.18 (step @p240 :rule cong :premises (@p239 @p228) :args (@t51)) % 60.91/61.18 (step @p241 :rule cong :premises (@p240) :args (@t53)) % 60.91/61.18 (step @p242 :rule trans :premises (@p241 @p210)) % 60.91/61.18 (step @p243 :rule arith_poly_norm :args ((= @t54 @t191))) % 60.91/61.18 (step @p244 :rule refl :args (@t45)) % 60.91/61.18 (step @p245 :rule cong :premises (@p244 @p243) :args 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(step @p1741 :rule nary_cong :premises (@p1740 @p1739 @p448 @p637) :args (@t532)) % 60.91/61.19 (step @p1742 :rule trans :premises (@p1741 @p1738)) % 60.91/61.19 (step @p1743 :rule arith_poly_norm :args ((= @t533 @t532))) % 60.91/61.19 (step @p1744 :rule trans :premises (@p1743 @p1742)) % 60.91/61.19 (step @p1745 :rule cong :premises (@p1744 @p1737) :args (@t534)) % 60.91/61.19 (step @p1746 :rule trans :premises (@p1745 @p566)) % 60.91/61.19 (step @p1747 :rule cong :premises (@p1746) :args ((not @t534))) % 60.91/61.19 (step @p1748 :rule trans :premises (@p1747 @p53)) % 60.91/61.19 (step @p1749 :rule arith-elim-lt :args (@t533 @t530)) % 60.91/61.19 (step @p1750 :rule trans :premises (@p1749 @p1748)) % 60.91/61.19 (step @p1666 :rule arith_mult_neg :args (-1 @t328)) % 60.91/61.19 (step @p542 :rule evaluate :args (@t324)) % 60.91/61.19 (step @p543 :rule true_elim :premises (@p542)) % 60.91/61.19 (step @p1751 :rule and_intro :premises (@p543 @p2138)) % 60.91/61.19 (step @p1752 :rule modus_ponens :premises (@p1751 @p1666)) % 60.91/61.19 (step @p1663 :rule arith_mult_neg :args (-1 @t317)) % 60.91/61.19 (step @p1753 :rule and_intro :premises (@p543 @p2137)) % 60.91/61.19 (step @p1754 :rule modus_ponens :premises (@p1753 @p1663)) % 60.91/61.19 (step @p656 :rule arith_poly_norm :args (@t358)) % 60.91/61.19 (step @p657 :rule arith_poly_norm_rel :premises (@p656) :args (@t359)) % 60.91/61.19 (step @p658 :rule symm :premises (@p657)) % 60.91/61.19 (step @p659 :rule eq_resolve :premises (@p302 @p658)) % 60.91/61.19 (step @p1504 :rule arith-elim-lt :args (@t248 1)) % 60.91/61.19 (step @p1505 :rule symm :premises (@p1504)) % 60.91/61.19 (step @p1755 :rule eq_resolve :premises (@p2139 @p1505)) % 60.91/61.19 (step @p1756 :rule arith_sum_ub :premises (@p1755 @p659 @p1754 @p1752)) % 60.91/61.19 (step @p1757 false :rule eq_resolve :premises (@p1756 @p1750)) % 60.91/61.19 (step-pop @p2140 :rule scope :premises (@p1757)) % 60.91/61.19 (step-pop @p2141 :rule scope :premises (@p2140)) % 60.91/61.19 (step-pop @p2142 :rule scope :premises (@p2141)) % 60.91/61.19 (step-pop @p2143 :rule scope :premises (@p2142)) % 60.91/61.19 (step @p1758 :rule process_scope :premises (@p2143) :args (false)) % 60.91/61.19 (step @p1763 :rule not_and :premises (@p1758)) % 60.91/61.19 (step @p1764 :rule eq_resolve :premises (@p1763 @p1730)) % 60.91/61.19 (step @p1765 :rule reordering :premises (@p1764) :args ((or @t250 @t331 @t517 @t434))) % 60.91/61.19 (step @p1766 :rule chain_m_resolution :premises (@p1765 @p302 @p1643 @p528) :args (@t434 (@list false false false) (@list @t249 @t328 @t317))) % 60.91/61.19 (step @p1767 :rule chain_m_resolution :premises (@p1531 @p1766) :args (@t441 @t290 (@list @t434))) % 60.91/61.19 (step @p1513 :rule arith-elim-lt :args (@t248 0)) % 60.91/61.19 (step @p1037 :rule arith-elim-lt :args (@t232 0)) % 60.91/61.19 (step @p1768 :rule nary_cong :premises (@p1037 @p1606) :args (@t535)) % 60.91/61.19 (step @p1769 :rule cong :premises (@p1768 @p1513) :args ((=> @t535 (< @t248 0)))) % 60.91/61.19 (step @p1770 :rule arith_mult_sign :args (@t535 @t248)) % 60.91/61.19 (step @p1771 :rule eq_resolve :premises (@p1770 @p1769)) % 60.91/61.19 (step @p1772 :rule implies_elim :premises (@p1771)) % 60.91/61.19 (step @p1773 :rule reordering :premises (@p1772) :args ((or @t500 @t537))) % 60.91/61.19 (step @p1774 :rule chain_m_resolution :premises (@p1773 @p1767) :args (@t537 @t290 (@list @t441))) % 60.91/61.19 (step @p1775 :rule refl :args (@t536)) % 60.91/61.19 (step @p1776 :rule nary_cong :premises (@p1775 @p1031 @p1439) :args ((or @t536 @t419 @t476))) % 60.91/61.19 (step @p1777 :rule cnf_and_neg :args (@t536)) % 60.91/61.19 (step @p1778 :rule eq_resolve :premises (@p1777 @p1776)) % 60.91/61.19 (step @p1779 :rule reordering :premises (@p1778) :args ((or @t417 @t476 @t536))) % 60.91/61.19 (step @p1780 :rule chain_m_resolution :premises (@p1779 @p1577 @p1774) :args (@t417 @t260 (@list @t475 @t536))) % 60.91/61.19 (step @p1781 :rule chain_m_resolution :premises (@p1076 @p777 @p1780) :args (@t421 @t309 (@list @t364 @t417))) % 60.91/61.19 (assume-push @p2144 @t421) % 60.91/61.19 (assume-push @p2145 @t294) % 60.91/61.19 (assume-push @p2146 @t249) % 60.91/61.19 (assume-push @p2147 @t390) % 60.91/61.19 (step @p976 :rule arith-elim-lt :args (@t231 0)) % 60.91/61.19 (step @p977 :rule symm :premises (@p976)) % 60.91/61.19 (assume-push @p2148 @t390) % 60.91/61.19 (step @p534 :rule evaluate :args (@t319)) % 60.91/61.19 (step @p1787 :rule evaluate :args ((+ 0 0 0 -1))) % 60.91/61.19 (step @p514 :rule refl :args (0)) % 60.91/61.19 (step @p632 :rule evaluate :args (@t347)) % 60.91/61.19 (step @p1788 :rule nary_cong :premises (@p632 @p514 @p514 @p232) :args (@t538)) % 60.91/61.19 (step @p1789 :rule trans :premises (@p1788 @p1787)) % 60.91/61.19 (step @p1790 :rule arith_poly_norm :args ((= @t539 0))) % 60.91/61.19 (step @p1791 :rule arith_poly_norm :args ((= @t540 @t539))) % 60.91/61.19 (step @p1792 :rule trans :premises (@p1791 @p1790)) % 60.91/61.19 (step @p1793 :rule cong :premises (@p1792 @p1789) :args ((<= @t540 @t538))) % 60.91/61.19 (step @p1794 :rule trans :premises (@p1793 @p534)) % 60.91/61.19 (step @p1795 :rule arith_mult_neg :args (-1 @t421)) % 60.91/61.19 (step @p542 :rule evaluate :args (@t324)) % 60.91/61.19 (step @p543 :rule true_elim :premises (@p542)) % 60.91/61.19 (step @p1796 :rule and_intro :premises (@p543 @p2144)) % 60.91/61.19 (step @p1797 :rule modus_ponens :premises (@p1796 @p1795)) % 60.91/61.19 (step @p811 :rule arith_poly_norm :args (@t382)) % 60.91/61.19 (step @p812 :rule arith_poly_norm_rel :premises (@p811) :args (@t383)) % 60.91/61.19 (step @p813 :rule symm :premises (@p812)) % 60.91/61.19 (step @p1798 :rule eq_resolve :premises (@p2145 @p813)) % 60.91/61.19 (step @p656 :rule arith_poly_norm :args (@t358)) % 60.91/61.19 (step @p657 :rule arith_poly_norm_rel :premises (@p656) :args (@t359)) % 60.91/61.19 (step @p658 :rule symm :premises (@p657)) % 60.91/61.19 (step @p659 :rule eq_resolve :premises (@p302 @p658)) % 60.91/61.19 (step @p860 :rule arith_mult_neg :args (-1 @t390)) % 60.91/61.19 (step @p1799 :rule and_intro :premises (@p543 @p2147)) % 60.91/61.19 (step @p1800 :rule modus_ponens :premises (@p1799 @p860)) % 60.91/61.19 (step @p1801 :rule arith_sum_ub :premises (@p1800 @p659 @p1798 @p1797)) % 60.91/61.19 (step @p1802 false :rule eq_resolve :premises (@p1801 @p1794)) % 60.91/61.19 (step-pop @p2149 :rule scope :premises (@p1802)) % 60.91/61.19 (step @p1803 :rule process_scope :premises (@p2149) :args (false)) % 60.91/61.19 (step @p1805 :rule eq_resolve :premises (@p1803 @p977)) % 60.91/61.19 (step @p1806 :rule eq_resolve :premises (@p1805 @p976)) % 60.91/61.19 (step @p1807 false :rule contra :premises (@p2147 @p1806)) % 60.91/61.19 (step-pop @p2150 :rule scope :premises (@p1807)) % 60.91/61.19 (step-pop @p2151 :rule scope :premises (@p2150)) % 60.91/61.19 (step-pop @p2152 :rule scope :premises (@p2151)) % 60.91/61.19 (step-pop @p2153 :rule scope :premises (@p2152)) % 60.91/61.19 (step @p1808 :rule process_scope :premises (@p2153) :args (false)) % 60.91/61.19 (assume-push @p2154 @t249) % 60.91/61.19 (assume-push @p2155 @t421) % 60.91/61.19 (assume-push @p2156 @t294) % 60.91/61.19 (assume-push @p2157 @t390) % 60.91/61.19 (step @p1817 :rule and_intro :premises (@p2155 @p2156 @p302 @p2157)) % 60.91/61.19 (step-pop @p2158 :rule scope :premises (@p1817)) % 60.91/61.19 (step-pop @p2159 :rule scope :premises (@p2158)) % 60.91/61.19 (step-pop @p2160 :rule scope :premises (@p2159)) % 60.91/61.19 (step-pop @p2161 :rule scope :premises (@p2160)) % 60.91/61.19 (step @p1818 :rule process_scope :premises (@p2161) :args (@t541)) % 60.91/61.19 (step @p1823 :rule implies_elim :premises (@p1818)) % 60.91/61.19 (step @p1824 :rule resolution :premises (@p1823 @p1808) :args (true @t541)) % 60.91/61.19 (step @p1825 :rule not_and :premises (@p1824)) % 60.91/61.19 (step @p1826 :rule reordering :premises (@p1825) :args ((or @t250 @t426 @t405 @t373))) % 60.91/61.19 (step @p1827 false :rule chain_m_resolution :premises (@p1826 @p1781 @p1729 @p511 @p302) :args (false (@list false false false false) (@list @t421 @t390 @t294 @t249))) % 60.91/61.19 ) % 60.91/61.19 % SZS output end Proof % 60.91/61.19 % cvc5 exiting %------------------------------------------------------------------------------