%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN058+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:42:51 AM UTC 2026 % Result : Theorem 27.45s 27.81s % Output : Proof 27.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN058+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 12:38:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 27.45/27.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.45/27.81 --- Run --no-e-matching --full-saturate-quant at 6... % 27.45/27.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.45/27.81 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.45/27.81 % SZS status Theorem % 27.45/27.81 % SZS output start Proof % 27.45/27.81 ( % 27.45/27.81 (declare-sort $$unsorted 0) % 27.45/27.81 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.45/27.81 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.45/27.81 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 27.45/27.81 (declare-const tptp.r1 (-> $$unsorted Bool)) % 27.45/27.81 (define @t1 () (@var "Y24" $$unsorted)) % 27.45/27.81 (define @t2 () (@var "X19" $$unsorted)) % 27.45/27.81 (define @t3 () (= @t2 @t1)) % 27.45/27.81 (define @t4 () (tptp.r1 @t2)) % 27.45/27.81 (define @t5 () (and @t4 @t3)) % 27.45/27.81 (define @t6 () (not @t3)) % 27.45/27.81 (define @t7 () (not @t4)) % 27.45/27.81 (define @t8 () (and @t7 @t6)) % 27.45/27.81 (define @t9 () (or @t8 @t5)) % 27.45/27.81 (define @t10 () (@list @t2)) % 27.45/27.81 (define @t11 () (forall @t10 @t9)) % 27.45/27.81 (define @t12 () (@list @t1)) % 27.45/27.81 (define @t13 () (exists @t12 @t11)) % 27.45/27.81 (define @t14 () (@var "Y21" $$unsorted)) % 27.45/27.81 (define @t15 () (@var "X12" $$unsorted)) % 27.45/27.81 (define @t16 () (= @t15 @t14)) % 27.45/27.81 (define @t17 () (@var "X11" $$unsorted)) % 27.45/27.81 (define @t18 () (tptp.r2 @t17 @t15)) % 27.45/27.81 (define @t19 () (and @t18 @t16)) % 27.45/27.81 (define @t20 () (not @t16)) % 27.45/27.81 (define @t21 () (not @t18)) % 27.45/27.81 (define @t22 () (and @t21 @t20)) % 27.45/27.81 (define @t23 () (or @t22 @t19)) % 27.45/27.81 (define @t24 () (@list @t15)) % 27.45/27.81 (define @t25 () (forall @t24 @t23)) % 27.45/27.81 (define @t26 () (@list @t14)) % 27.45/27.81 (define @t27 () (exists @t26 @t25)) % 27.45/27.81 (define @t28 () (forall (@list @t17) @t27)) % 27.45/27.81 (define @t29 () (@var "Y22" $$unsorted)) % 27.45/27.81 (define @t30 () (@var "X15" $$unsorted)) % 27.45/27.81 (define @t31 () (= @t30 @t29)) % 27.45/27.81 (define @t32 () (@var "X14" $$unsorted)) % 27.45/27.81 (define @t33 () (@var "X13" $$unsorted)) % 27.45/27.81 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 27.45/27.81 (define @t35 () (and @t34 @t31)) % 27.45/27.81 (define @t36 () (not @t31)) % 27.45/27.81 (define @t37 () (not @t34)) % 27.45/27.81 (define @t38 () (and @t37 @t36)) % 27.45/27.81 (define @t39 () (or @t38 @t35)) % 27.45/27.81 (define @t40 () (@list @t30)) % 27.45/27.81 (define @t41 () (forall @t40 @t39)) % 27.45/27.81 (define @t42 () (@list @t29)) % 27.45/27.81 (define @t43 () (exists @t42 @t41)) % 27.45/27.81 (define @t44 () (forall (@list @t33 @t32) @t43)) % 27.45/27.81 (define @t45 () (@var "Y23" $$unsorted)) % 27.45/27.81 (define @t46 () (@var "X18" $$unsorted)) % 27.45/27.81 (define @t47 () (= @t46 @t45)) % 27.45/27.81 (define @t48 () (@var "X17" $$unsorted)) % 27.45/27.81 (define @t49 () (@var "X16" $$unsorted)) % 27.45/27.81 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 27.45/27.81 (define @t51 () (and @t50 @t47)) % 27.45/27.81 (define @t52 () (not @t47)) % 27.45/27.81 (define @t53 () (not @t50)) % 27.45/27.81 (define @t54 () (and @t53 @t52)) % 27.45/27.81 (define @t55 () (or @t54 @t51)) % 27.45/27.81 (define @t56 () (@list @t46)) % 27.45/27.81 (define @t57 () (forall @t56 @t55)) % 27.45/27.81 (define @t58 () (@list @t45)) % 27.45/27.81 (define @t59 () (exists @t58 @t57)) % 27.45/27.81 (define @t60 () (forall (@list @t49 @t48) @t59)) % 27.45/27.81 (define @t61 () (@var "Y7" $$unsorted)) % 27.45/27.81 (define @t62 () (@var "X8" $$unsorted)) % 27.45/27.81 (define @t63 () (@var "X1" $$unsorted)) % 27.45/27.81 (define @t64 () (tptp.r3 @t63 @t62 @t61)) % 27.45/27.81 (define @t65 () (@var "Y4" $$unsorted)) % 27.45/27.81 (define @t66 () (tptp.r2 @t61 @t65)) % 27.45/27.81 (define @t67 () (and @t66 @t64)) % 27.45/27.81 (define @t68 () (@list @t61)) % 27.45/27.81 (define @t69 () (exists @t68 @t67)) % 27.45/27.81 (define @t70 () (@var "Y5" $$unsorted)) % 27.45/27.81 (define @t71 () (= @t70 @t65)) % 27.45/27.81 (define @t72 () (@var "Y15" $$unsorted)) % 27.45/27.81 (define @t73 () (tptp.r3 @t63 @t72 @t70)) % 27.45/27.81 (define @t74 () (tptp.r2 @t62 @t72)) % 27.45/27.81 (define @t75 () (and @t74 @t73)) % 27.45/27.81 (define @t76 () (@list @t72)) % 27.45/27.81 (define @t77 () (exists @t76 @t75)) % 27.45/27.81 (define @t78 () (and @t77 @t71)) % 27.45/27.81 (define @t79 () (@list @t70)) % 27.45/27.81 (define @t80 () (exists @t79 @t78)) % 27.45/27.81 (define @t81 () (and @t80 @t69)) % 27.45/27.81 (define @t82 () (@list @t65)) % 27.45/27.81 (define @t83 () (exists @t82 @t81)) % 27.45/27.81 (define @t84 () (forall (@list @t63 @t62) @t83)) % 27.45/27.81 (define @t85 () (@var "Y6" $$unsorted)) % 27.45/27.81 (define @t86 () (@var "X9" $$unsorted)) % 27.45/27.81 (define @t87 () (@var "X2" $$unsorted)) % 27.45/27.81 (define @t88 () (tptp.r4 @t87 @t86 @t85)) % 27.45/27.81 (define @t89 () (@var "Y2" $$unsorted)) % 27.45/27.81 (define @t90 () (tptp.r3 @t85 @t87 @t89)) % 27.45/27.81 (define @t91 () (and @t90 @t88)) % 27.45/27.81 (define @t92 () (@list @t85)) % 27.45/27.81 (define @t93 () (exists @t92 @t91)) % 27.45/27.81 (define @t94 () (@var "Y3" $$unsorted)) % 27.45/27.81 (define @t95 () (= @t94 @t89)) % 27.45/27.81 (define @t96 () (@var "Y14" $$unsorted)) % 27.45/27.81 (define @t97 () (tptp.r4 @t87 @t96 @t94)) % 27.45/27.81 (define @t98 () (tptp.r2 @t86 @t96)) % 27.45/27.81 (define @t99 () (and @t98 @t97)) % 27.45/27.81 (define @t100 () (@list @t96)) % 27.45/27.81 (define @t101 () (exists @t100 @t99)) % 27.45/27.81 (define @t102 () (and @t101 @t95)) % 27.45/27.81 (define @t103 () (@list @t94)) % 27.45/27.81 (define @t104 () (exists @t103 @t102)) % 27.45/27.81 (define @t105 () (and @t104 @t93)) % 27.45/27.81 (define @t106 () (@list @t89)) % 27.45/27.81 (define @t107 () (exists @t106 @t105)) % 27.45/27.81 (define @t108 () (forall (@list @t87 @t86) @t107)) % 27.45/27.81 (define @t109 () (@var "X10" $$unsorted)) % 27.45/27.81 (define @t110 () (@var "X3" $$unsorted)) % 27.45/27.81 (define @t111 () (@var "Y12" $$unsorted)) % 27.45/27.81 (define @t112 () (@var "Y13" $$unsorted)) % 27.45/27.81 (define @t113 () (@list @t112)) % 27.45/27.81 (define @t114 () (@list @t111)) % 27.45/27.81 (define @t115 () (@var "X4" $$unsorted)) % 27.45/27.81 (define @t116 () (@var "Y9" $$unsorted)) % 27.45/27.81 (define @t117 () (= @t116 @t115)) % 27.45/27.81 (define @t118 () (@var "Y16" $$unsorted)) % 27.45/27.81 (define @t119 () (tptp.r3 @t115 @t118 @t116)) % 27.45/27.81 (define @t120 () (tptp.r1 @t118)) % 27.45/27.81 (define @t121 () (and @t120 @t119)) % 27.45/27.81 (define @t122 () (@list @t118)) % 27.45/27.81 (define @t123 () (exists @t122 @t121)) % 27.45/27.81 (define @t124 () (and @t123 @t117)) % 27.45/27.81 (define @t125 () (@list @t116)) % 27.45/27.81 (define @t126 () (exists @t125 @t124)) % 27.45/27.81 (define @t127 () (forall (@list @t115) @t126)) % 27.45/27.81 (define @t128 () (@var "Y18" $$unsorted)) % 27.45/27.81 (define @t129 () (@var "Y8" $$unsorted)) % 27.45/27.81 (define @t130 () (= @t129 @t128)) % 27.45/27.81 (define @t131 () (tptp.r1 @t128)) % 27.45/27.81 (define @t132 () (and @t131 @t130)) % 27.45/27.81 (define @t133 () (@list @t128)) % 27.45/27.81 (define @t134 () (exists @t133 @t132)) % 27.45/27.81 (define @t135 () (@var "Y17" $$unsorted)) % 27.45/27.81 (define @t136 () (@var "X5" $$unsorted)) % 27.45/27.81 (define @t137 () (tptp.r4 @t136 @t135 @t129)) % 27.45/27.81 (define @t138 () (tptp.r1 @t135)) % 27.45/27.81 (define @t139 () (and @t138 @t137)) % 27.45/27.81 (define @t140 () (@list @t135)) % 27.45/27.81 (define @t141 () (exists @t140 @t139)) % 27.45/27.81 (define @t142 () (and @t141 @t134)) % 27.45/27.81 (define @t143 () (@list @t129)) % 27.45/27.81 (define @t144 () (exists @t143 @t142)) % 27.45/27.81 (define @t145 () (forall (@list @t136) @t144)) % 27.45/27.81 (define @t146 () (@var "Y11" $$unsorted)) % 27.45/27.81 (define @t147 () (@var "X6" $$unsorted)) % 27.45/27.81 (define @t148 () (@var "Y1" $$unsorted)) % 27.45/27.81 (define @t149 () (@var "Y19" $$unsorted)) % 27.45/27.81 (define @t150 () (@var "Y10" $$unsorted)) % 27.45/27.81 (define @t151 () (@var "X7" $$unsorted)) % 27.45/27.81 (define @t152 () (@var "Y20" $$unsorted)) % 27.45/27.81 (define @t153 () (tptp.r2 @t72 @t112)) % 27.45/27.81 (define @t154 () (tptp.r1 @t72)) % 27.45/27.81 (define @t155 () (and @t154 @t153)) % 27.45/27.81 (define @t156 () (exists @t76 @t155)) % 27.45/27.81 (define @t157 () (tptp.r2 @t112 @t146)) % 27.45/27.81 (define @t158 () (and @t157 @t156)) % 27.45/27.81 (define @t159 () (exists @t113 @t158)) % 27.45/27.81 (define @t160 () (tptp.r2 @t146 @t116)) % 27.45/27.81 (define @t161 () (and @t160 @t159)) % 27.45/27.81 (define @t162 () (@list @t146)) % 27.45/27.81 (define @t163 () (exists @t162 @t161)) % 27.45/27.81 (define @t164 () (tptp.r2 @t116 @t61)) % 27.45/27.81 (define @t165 () (and @t164 @t163)) % 27.45/27.81 (define @t166 () (exists @t125 @t165)) % 27.45/27.81 (define @t167 () (tptp.r3 @t94 @t61 @t70)) % 27.45/27.81 (define @t168 () (and @t167 @t166)) % 27.45/27.81 (define @t169 () (exists @t68 @t168)) % 27.45/27.81 (define @t170 () (= @t70 @t148)) % 27.45/27.81 (define @t171 () (and @t170 @t169)) % 27.45/27.81 (define @t172 () (@list @t94 @t70)) % 27.45/27.81 (define @t173 () (exists @t172 @t171)) % 27.45/27.81 (define @t174 () (= @t129 @t148)) % 27.45/27.81 (define @t175 () (tptp.r3 @t89 @t65 @t129)) % 27.45/27.81 (define @t176 () (and @t175 @t174)) % 27.45/27.81 (define @t177 () (exists @t143 @t176)) % 27.45/27.81 (define @t178 () (= @t85 @t148)) % 27.45/27.81 (define @t179 () (tptp.r2 @t96 @t111)) % 27.45/27.81 (define @t180 () (tptp.r1 @t96)) % 27.45/27.81 (define @t181 () (and @t180 @t179)) % 27.45/27.81 (define @t182 () (exists @t100 @t181)) % 27.45/27.81 (define @t183 () (tptp.r2 @t111 @t150)) % 27.45/27.81 (define @t184 () (and @t183 @t182)) % 27.45/27.81 (define @t185 () (exists @t114 @t184)) % 27.45/27.81 (define @t186 () (tptp.r4 @t150 @t89 @t85)) % 27.45/27.81 (define @t187 () (and @t186 @t185)) % 27.45/27.81 (define @t188 () (@list @t150)) % 27.45/27.81 (define @t189 () (exists @t188 @t187)) % 27.45/27.81 (define @t190 () (and @t189 @t178)) % 27.45/27.81 (define @t191 () (exists @t92 @t190)) % 27.45/27.81 (define @t192 () (and @t191 @t177)) % 27.45/27.81 (define @t193 () (@list @t89 @t65)) % 27.45/27.81 (define @t194 () (exists @t193 @t192)) % 27.45/27.81 (define @t195 () (and @t194 @t173)) % 27.45/27.81 (define @t196 () (@list @t148)) % 27.45/27.81 (define @t197 () (exists @t196 @t195)) % 27.45/27.81 (define @t198 () (not @t197)) % 27.45/27.81 (define @t199 () (@var "BOUND_VARIABLE_7668" $$unsorted)) % 27.45/27.81 (define @t200 () (tptp.r1 @t199)) % 27.45/27.81 (define @t201 () (not @t200)) % 27.45/27.81 (define @t202 () (@list @t199)) % 27.45/27.81 (define @t203 () (forall @t202 (or @t201 (and @t200 (= @t1 @t199))))) % 27.45/27.81 (define @t204 () (tptp.r1 @t1)) % 27.45/27.81 (define @t205 () (and @t203 @t204)) % 27.45/27.81 (define @t206 () (forall @t12 (not @t205))) % 27.45/27.81 (define @t207 () (not @t206)) % 27.45/27.81 (define @t208 () (= @t1 @t1)) % 27.45/27.81 (define @t209 () (and @t204 @t208)) % 27.45/27.81 (define @t210 () (not @t208)) % 27.45/27.81 (define @t211 () (or @t210 @t209)) % 27.45/27.81 (define @t212 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 27.45/27.81 (define @t213 () (= @t1 @t212)) % 27.45/27.81 (define @t214 () (and (tptp.r1 @t212) @t213)) % 27.45/27.81 (define @t215 () (not @t213)) % 27.45/27.81 (define @t216 () (@list @t212)) % 27.45/27.81 (define @t217 () (or @t215 @t215 @t214)) % 27.45/27.81 (define @t218 () (or @t215 @t214)) % 27.45/27.81 (define @t219 () (forall @t216 @t218)) % 27.45/27.81 (define @t220 () (= @t1 @t2)) % 27.45/27.81 (define @t221 () (and @t4 @t220)) % 27.45/27.81 (define @t222 () (not @t220)) % 27.45/27.81 (define @t223 () (or @t222 @t221)) % 27.45/27.81 (define @t224 () (forall @t10 @t223)) % 27.45/27.81 (define @t225 () (@list @t2)) % 27.45/27.81 (define @t226 () (or @t7 @t221)) % 27.45/27.81 (define @t227 () (forall @t10 @t226)) % 27.45/27.81 (define @t228 () (and @t227 @t224)) % 27.45/27.81 (define @t229 () (forall @t12 (or (not @t203) (not @t204)))) % 27.45/27.81 (define @t230 () (@quantifiers_skolemize @t229 0)) % 27.45/27.81 (define @t231 () (tptp.r1 @t230)) % 27.45/27.81 (define @t232 () (not @t231)) % 27.45/27.81 (define @t233 () (forall @t202 (or @t201 (and @t200 (= @t199 @t230))))) % 27.45/27.81 (define @t234 () (not @t233)) % 27.45/27.81 (define @t235 () (or @t234 @t232)) % 27.45/27.81 (define @t236 () (not @t235)) % 27.45/27.81 (define @t237 () (not @t229)) % 27.45/27.81 (define @t238 () (and @t200 (= @t230 @t199))) % 27.45/27.81 (define @t239 () (or @t201 @t238)) % 27.45/27.81 (define @t240 () (forall @t202 @t239)) % 27.45/27.81 (define @t241 () (not @t240)) % 27.45/27.81 (define @t242 () (or @t241 @t232)) % 27.45/27.81 (define @t243 () (not @t242)) % 27.45/27.81 (define @t244 () (@list true)) % 27.45/27.81 (define @t245 () (@list @t235)) % 27.45/27.81 (define @t246 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 27.45/27.81 (define @t247 () (= @t14 @t246)) % 27.45/27.81 (define @t248 () (tptp.r2 @t17 @t246)) % 27.45/27.81 (define @t249 () (@list @t246)) % 27.45/27.81 (define @t250 () (forall @t249 (or (not @t248) (and @t248 @t247)))) % 27.45/27.81 (define @t251 () (tptp.r2 @t17 @t14)) % 27.45/27.81 (define @t252 () (and @t250 @t251)) % 27.45/27.81 (define @t253 () (forall @t26 (not @t252))) % 27.45/27.81 (define @t254 () (not @t253)) % 27.45/27.81 (define @t255 () (= @t14 @t14)) % 27.45/27.81 (define @t256 () (and @t251 @t255)) % 27.45/27.81 (define @t257 () (not @t255)) % 27.45/27.81 (define @t258 () (or @t257 @t256)) % 27.45/27.81 (define @t259 () (@var "BOUND_VARIABLE_7724" $$unsorted)) % 27.45/27.81 (define @t260 () (= @t14 @t259)) % 27.45/27.81 (define @t261 () (and (tptp.r2 @t17 @t259) @t260)) % 27.45/27.81 (define @t262 () (not @t260)) % 27.45/27.81 (define @t263 () (@list @t259)) % 27.45/27.81 (define @t264 () (or @t262 @t262 @t261)) % 27.45/27.81 (define @t265 () (or @t262 @t261)) % 27.45/27.81 (define @t266 () (forall @t263 @t265)) % 27.45/27.81 (define @t267 () (= @t14 @t15)) % 27.45/27.81 (define @t268 () (and @t18 @t267)) % 27.45/27.81 (define @t269 () (not @t267)) % 27.45/27.81 (define @t270 () (or @t269 @t268)) % 27.45/27.81 (define @t271 () (forall @t24 @t270)) % 27.45/27.81 (define @t272 () (@list @t15)) % 27.45/27.81 (define @t273 () (or @t21 @t268)) % 27.45/27.81 (define @t274 () (forall @t24 @t273)) % 27.45/27.81 (define @t275 () (and @t274 @t271)) % 27.45/27.81 (define @t276 () (@list @t230)) % 27.45/27.81 (define @t277 () (tptp.r2 @t230 @t246)) % 27.45/27.81 (define @t278 () (not @t277)) % 27.45/27.81 (define @t279 () (forall @t26 (or (not (forall @t249 (or @t278 (and @t277 @t247)))) (not (tptp.r2 @t230 @t14))))) % 27.45/27.81 (define @t280 () (@quantifiers_skolemize @t279 0)) % 27.45/27.81 (define @t281 () (tptp.r2 @t230 @t280)) % 27.45/27.81 (define @t282 () (not @t281)) % 27.45/27.81 (define @t283 () (forall @t249 (or @t278 (and @t277 (= @t246 @t280))))) % 27.45/27.81 (define @t284 () (not @t283)) % 27.45/27.81 (define @t285 () (or @t284 @t282)) % 27.45/27.81 (define @t286 () (not @t285)) % 27.45/27.81 (define @t287 () (not @t279)) % 27.45/27.81 (define @t288 () (and @t277 (= @t280 @t246))) % 27.45/27.81 (define @t289 () (or @t278 @t288)) % 27.45/27.81 (define @t290 () (forall @t249 @t289)) % 27.45/27.81 (define @t291 () (not @t290)) % 27.45/27.81 (define @t292 () (or @t291 @t282)) % 27.45/27.81 (define @t293 () (not @t292)) % 27.45/27.81 (define @t294 () (@list @t285)) % 27.45/27.81 (define @t295 () (@list @t280)) % 27.45/27.81 (define @t296 () (tptp.r2 @t280 @t246)) % 27.45/27.81 (define @t297 () (not @t296)) % 27.45/27.81 (define @t298 () (forall @t26 (or (not (forall @t249 (or @t297 (and @t296 @t247)))) (not (tptp.r2 @t280 @t14))))) % 27.45/27.81 (define @t299 () (@quantifiers_skolemize @t298 0)) % 27.45/27.81 (define @t300 () (tptp.r2 @t280 @t299)) % 27.45/27.81 (define @t301 () (not @t300)) % 27.45/27.81 (define @t302 () (forall @t249 (or @t297 (and @t296 (= @t246 @t299))))) % 27.45/27.81 (define @t303 () (not @t302)) % 27.45/27.81 (define @t304 () (or @t303 @t301)) % 27.45/27.81 (define @t305 () (not @t304)) % 27.45/27.81 (define @t306 () (not @t298)) % 27.45/27.81 (define @t307 () (and @t296 (= @t299 @t246))) % 27.45/27.81 (define @t308 () (or @t297 @t307)) % 27.45/27.81 (define @t309 () (forall @t249 @t308)) % 27.45/27.81 (define @t310 () (not @t309)) % 27.45/27.81 (define @t311 () (or @t310 @t301)) % 27.45/27.81 (define @t312 () (not @t311)) % 27.45/27.81 (define @t313 () (@list @t304)) % 27.45/27.81 (define @t314 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 27.45/27.81 (define @t315 () (not (tptp.r2 @t314 @t65))) % 27.45/27.81 (define @t316 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 27.45/27.81 (define @t317 () (not (tptp.r3 @t280 @t316 @t65))) % 27.45/27.81 (define @t318 () (not (tptp.r2 @t280 @t316))) % 27.45/27.81 (define @t319 () (@list @t65 @t316 @t314)) % 27.45/27.81 (define @t320 () (forall @t319 (or @t318 @t317 @t315 (not (tptp.r3 @t280 @t280 @t314))))) % 27.45/27.81 (define @t321 () (@quantifiers_skolemize @t320 0)) % 27.45/27.81 (define @t322 () (@list @t321)) % 27.45/27.81 (define @t323 () (tptp.r2 @t321 @t246)) % 27.45/27.81 (define @t324 () (not @t323)) % 27.45/27.81 (define @t325 () (forall @t26 (or (not (forall @t249 (or @t324 (and @t323 @t247)))) (not (tptp.r2 @t321 @t14))))) % 27.45/27.81 (define @t326 () (@quantifiers_skolemize @t325 0)) % 27.45/27.81 (define @t327 () (tptp.r2 @t321 @t326)) % 27.45/27.81 (define @t328 () (not @t327)) % 27.45/27.81 (define @t329 () (forall @t249 (or @t324 (and @t323 (= @t246 @t326))))) % 27.45/27.81 (define @t330 () (not @t329)) % 27.45/27.81 (define @t331 () (or @t330 @t328)) % 27.45/27.81 (define @t332 () (not @t331)) % 27.45/27.81 (define @t333 () (not @t325)) % 27.45/27.81 (define @t334 () (and @t323 (= @t326 @t246))) % 27.45/27.81 (define @t335 () (or @t324 @t334)) % 27.45/27.81 (define @t336 () (forall @t249 @t335)) % 27.45/27.81 (define @t337 () (not @t336)) % 27.45/27.81 (define @t338 () (or @t337 @t328)) % 27.45/27.81 (define @t339 () (not @t338)) % 27.45/27.81 (define @t340 () (@list @t331)) % 27.45/27.81 (define @t341 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 27.45/27.81 (define @t342 () (= @t45 @t341)) % 27.45/27.81 (define @t343 () (tptp.r4 @t49 @t48 @t341)) % 27.45/27.81 (define @t344 () (@list @t341)) % 27.45/27.81 (define @t345 () (forall @t344 (or (not @t343) (and @t343 @t342)))) % 27.45/27.81 (define @t346 () (tptp.r4 @t49 @t48 @t45)) % 27.45/27.81 (define @t347 () (and @t345 @t346)) % 27.45/27.81 (define @t348 () (forall @t58 (not @t347))) % 27.45/27.81 (define @t349 () (not @t348)) % 27.45/27.81 (define @t350 () (= @t45 @t45)) % 27.45/27.81 (define @t351 () (and @t346 @t350)) % 27.45/27.81 (define @t352 () (not @t350)) % 27.45/27.81 (define @t353 () (or @t352 @t351)) % 27.45/27.81 (define @t354 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 27.45/27.81 (define @t355 () (= @t45 @t354)) % 27.45/27.81 (define @t356 () (and (tptp.r4 @t49 @t48 @t354) @t355)) % 27.45/27.81 (define @t357 () (not @t355)) % 27.45/27.81 (define @t358 () (@list @t354)) % 27.45/27.81 (define @t359 () (or @t357 @t357 @t356)) % 27.45/27.81 (define @t360 () (or @t357 @t356)) % 27.45/27.81 (define @t361 () (forall @t358 @t360)) % 27.45/27.81 (define @t362 () (= @t45 @t46)) % 27.45/27.81 (define @t363 () (and @t50 @t362)) % 27.45/27.81 (define @t364 () (not @t362)) % 27.45/27.81 (define @t365 () (or @t364 @t363)) % 27.45/27.81 (define @t366 () (forall @t56 @t365)) % 27.45/27.81 (define @t367 () (@list @t46)) % 27.45/27.81 (define @t368 () (or @t53 @t363)) % 27.45/27.81 (define @t369 () (forall @t56 @t368)) % 27.45/27.81 (define @t370 () (and @t369 @t366)) % 27.45/27.81 (define @t371 () (@list @t299 @t299)) % 27.45/27.81 (define @t372 () (tptp.r4 @t299 @t299 @t341)) % 27.45/27.81 (define @t373 () (not @t372)) % 27.45/27.81 (define @t374 () (forall @t58 (or (not (forall @t344 (or @t373 (and @t372 @t342)))) (not (tptp.r4 @t299 @t299 @t45))))) % 27.45/27.81 (define @t375 () (@quantifiers_skolemize @t374 0)) % 27.45/27.81 (define @t376 () (tptp.r4 @t299 @t299 @t375)) % 27.45/27.81 (define @t377 () (not @t376)) % 27.45/27.81 (define @t378 () (forall @t344 (or @t373 (and @t372 (= @t341 @t375))))) % 27.45/27.81 (define @t379 () (not @t378)) % 27.45/27.81 (define @t380 () (or @t379 @t377)) % 27.45/27.81 (define @t381 () (not @t380)) % 27.45/27.81 (define @t382 () (not @t374)) % 27.45/27.81 (define @t383 () (and @t372 (= @t375 @t341))) % 27.45/27.81 (define @t384 () (or @t373 @t383)) % 27.45/27.81 (define @t385 () (forall @t344 @t384)) % 27.45/27.81 (define @t386 () (not @t385)) % 27.45/27.81 (define @t387 () (or @t386 @t377)) % 27.45/27.81 (define @t388 () (not @t387)) % 27.45/27.81 (define @t389 () (@list @t380)) % 27.45/27.81 (define @t390 () (not (tptp.r3 @t63 @t62 @t314))) % 27.45/27.81 (define @t391 () (not (tptp.r3 @t63 @t316 @t65))) % 27.45/27.81 (define @t392 () (not (tptp.r2 @t62 @t316))) % 27.45/27.81 (define @t393 () (or @t315 @t390)) % 27.45/27.81 (define @t394 () (or @t392 @t391)) % 27.45/27.81 (define @t395 () (or @t394 @t393)) % 27.45/27.81 (define @t396 () (forall @t319 @t395)) % 27.45/27.81 (define @t397 () (forall (@list @t316 @t314) @t395)) % 27.45/27.81 (define @t398 () (forall (@list @t314) @t393)) % 27.45/27.81 (define @t399 () (forall (@list @t316) @t394)) % 27.45/27.81 (define @t400 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 27.45/27.81 (define @t401 () (@list @t400)) % 27.45/27.81 (define @t402 () (or @t399 @t398)) % 27.45/27.81 (define @t403 () (forall @t68 (or (not @t66) (not @t64)))) % 27.45/27.81 (define @t404 () (not (tptp.r3 @t63 @t400 @t65))) % 27.45/27.81 (define @t405 () (not (tptp.r2 @t62 @t400))) % 27.45/27.81 (define @t406 () (or @t405 @t404)) % 27.45/27.81 (define @t407 () (@list @t400)) % 27.45/27.81 (define @t408 () (forall @t407 @t406)) % 27.45/27.81 (define @t409 () (not @t403)) % 27.45/27.81 (define @t410 () (not @t408)) % 27.45/27.81 (define @t411 () (and @t410 @t409)) % 27.45/27.81 (define @t412 () (forall @t82 (not @t411))) % 27.45/27.81 (define @t413 () (not @t412)) % 27.45/27.81 (define @t414 () (forall @t68 (not @t67))) % 27.45/27.81 (define @t415 () (not @t414)) % 27.45/27.81 (define @t416 () (not (= @t65 @t65))) % 27.45/27.81 (define @t417 () (or @t416 @t405 @t404)) % 27.45/27.81 (define @t418 () (not (tptp.r3 @t63 @t400 @t70))) % 27.45/27.81 (define @t419 () (= @t65 @t70)) % 27.45/27.81 (define @t420 () (not @t419)) % 27.45/27.81 (define @t421 () (or @t420 @t420 @t405 @t418)) % 27.45/27.81 (define @t422 () (or @t420 @t405 @t418)) % 27.45/27.81 (define @t423 () (forall @t79 @t422)) % 27.45/27.81 (define @t424 () (forall @t407 @t423)) % 27.45/27.81 (define @t425 () (forall (@list @t400 @t70) @t422)) % 27.45/27.81 (define @t426 () (@list @t70 @t400)) % 27.45/27.81 (define @t427 () (or @t405 @t418)) % 27.45/27.81 (define @t428 () (or @t427 @t420)) % 27.45/27.81 (define @t429 () (forall @t426 @t428)) % 27.45/27.81 (define @t430 () (forall @t407 @t428)) % 27.45/27.81 (define @t431 () (forall @t407 @t427)) % 27.45/27.81 (define @t432 () (@list @t72)) % 27.45/27.81 (define @t433 () (or @t431 @t420)) % 27.45/27.81 (define @t434 () (forall @t76 (or (not @t74) (not @t73)))) % 27.45/27.81 (define @t435 () (not @t434)) % 27.45/27.81 (define @t436 () (and @t435 @t419)) % 27.45/27.81 (define @t437 () (forall @t79 (not @t436))) % 27.45/27.81 (define @t438 () (not @t437)) % 27.45/27.81 (define @t439 () (forall @t76 (not @t75))) % 27.45/27.81 (define @t440 () (not @t439)) % 27.45/27.81 (define @t441 () (@list @t280 @t280)) % 27.45/27.81 (define @t442 () (@quantifiers_skolemize @t320 2)) % 27.45/27.81 (define @t443 () (tptp.r2 @t442 @t321)) % 27.45/27.81 (define @t444 () (tptp.r3 @t280 @t280 @t442)) % 27.45/27.81 (define @t445 () (not @t444)) % 27.45/27.81 (define @t446 () (not @t443)) % 27.45/27.81 (define @t447 () (@quantifiers_skolemize @t320 1)) % 27.45/27.81 (define @t448 () (or (not (tptp.r2 @t280 @t447)) (not (tptp.r3 @t280 @t447 @t321)) @t446 @t445)) % 27.45/27.81 (define @t449 () (@list @t448)) % 27.45/27.81 (define @t450 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 27.45/27.81 (define @t451 () (= @t29 @t450)) % 27.45/27.81 (define @t452 () (tptp.r3 @t33 @t32 @t450)) % 27.45/27.81 (define @t453 () (@list @t450)) % 27.45/27.81 (define @t454 () (forall @t453 (or (not @t452) (and @t452 @t451)))) % 27.45/27.81 (define @t455 () (tptp.r3 @t33 @t32 @t29)) % 27.45/27.81 (define @t456 () (and @t454 @t455)) % 27.45/27.81 (define @t457 () (forall @t42 (not @t456))) % 27.45/27.81 (define @t458 () (not @t457)) % 27.45/27.81 (define @t459 () (= @t29 @t29)) % 27.45/27.81 (define @t460 () (and @t455 @t459)) % 27.45/27.81 (define @t461 () (not @t459)) % 27.45/27.81 (define @t462 () (or @t461 @t460)) % 27.45/27.81 (define @t463 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 27.45/27.81 (define @t464 () (= @t29 @t463)) % 27.45/27.81 (define @t465 () (and (tptp.r3 @t33 @t32 @t463) @t464)) % 27.45/27.81 (define @t466 () (not @t464)) % 27.45/27.81 (define @t467 () (@list @t463)) % 27.45/27.81 (define @t468 () (or @t466 @t466 @t465)) % 27.45/27.81 (define @t469 () (or @t466 @t465)) % 27.45/27.81 (define @t470 () (forall @t467 @t469)) % 27.45/27.81 (define @t471 () (= @t29 @t30)) % 27.45/27.81 (define @t472 () (and @t34 @t471)) % 27.45/27.81 (define @t473 () (not @t471)) % 27.45/27.81 (define @t474 () (or @t473 @t472)) % 27.45/27.81 (define @t475 () (forall @t40 @t474)) % 27.45/27.81 (define @t476 () (@list @t30)) % 27.45/27.81 (define @t477 () (or @t37 @t472)) % 27.45/27.81 (define @t478 () (forall @t40 @t477)) % 27.45/27.81 (define @t479 () (and @t478 @t475)) % 27.45/27.81 (define @t480 () (tptp.r3 @t280 @t280 @t450)) % 27.45/27.81 (define @t481 () (not @t480)) % 27.45/27.81 (define @t482 () (forall @t42 (or (not (forall @t453 (or @t481 (and @t480 @t451)))) (not (tptp.r3 @t280 @t280 @t29))))) % 27.45/27.81 (define @t483 () (@quantifiers_skolemize @t482 0)) % 27.45/27.81 (define @t484 () (not (tptp.r3 @t280 @t280 @t483))) % 27.45/27.81 (define @t485 () (forall @t453 (or @t481 (and @t480 (= @t450 @t483))))) % 27.45/27.81 (define @t486 () (not @t485)) % 27.45/27.81 (define @t487 () (or @t486 @t484)) % 27.45/27.81 (define @t488 () (not @t487)) % 27.45/27.81 (define @t489 () (not @t482)) % 27.45/27.81 (define @t490 () (and @t480 (= @t483 @t450))) % 27.45/27.81 (define @t491 () (or @t481 @t490)) % 27.45/27.81 (define @t492 () (forall @t453 @t491)) % 27.45/27.81 (define @t493 () (not @t492)) % 27.45/27.81 (define @t494 () (or @t493 @t484)) % 27.45/27.81 (define @t495 () (not @t494)) % 27.45/27.81 (define @t496 () (and @t444 (= @t442 @t483))) % 27.45/27.81 (define @t497 () (or @t445 @t496)) % 27.45/27.81 (define @t498 () (= @t483 @t442)) % 27.45/27.81 (define @t499 () (and @t444 @t498)) % 27.45/27.81 (define @t500 () (or @t445 @t499)) % 27.45/27.81 (define @t501 () (@list false)) % 27.45/27.81 (define @t502 () (@list @t485)) % 27.45/27.81 (define @t503 () (@list false false)) % 27.45/27.81 (define @t504 () (not (tptp.r2 @t230 @t316))) % 27.45/27.81 (define @t505 () (forall @t319 (or @t504 @t317 @t315 (not (tptp.r3 @t280 @t230 @t314))))) % 27.45/27.81 (define @t506 () (@quantifiers_skolemize @t505 0)) % 27.45/27.81 (define @t507 () (tptp.r3 @t280 @t280 @t506)) % 27.45/27.81 (define @t508 () (and @t507 (= @t506 @t483))) % 27.45/27.81 (define @t509 () (not @t507)) % 27.45/27.81 (define @t510 () (or @t509 @t508)) % 27.45/27.81 (define @t511 () (@list @t506)) % 27.45/27.81 (define @t512 () (= @t483 @t506)) % 27.45/27.81 (define @t513 () (and @t507 @t512)) % 27.45/27.81 (define @t514 () (or @t509 @t513)) % 27.45/27.81 (define @t515 () (@list @t280 @t230)) % 27.45/27.81 (define @t516 () (@quantifiers_skolemize @t505 1)) % 27.45/27.81 (define @t517 () (tptp.r3 @t280 @t516 @t506)) % 27.45/27.81 (define @t518 () (@quantifiers_skolemize @t505 2)) % 27.45/27.81 (define @t519 () (tptp.r3 @t280 @t230 @t518)) % 27.45/27.81 (define @t520 () (not @t519)) % 27.45/27.81 (define @t521 () (tptp.r2 @t518 @t506)) % 27.45/27.81 (define @t522 () (not @t521)) % 27.45/27.81 (define @t523 () (not @t517)) % 27.45/27.81 (define @t524 () (tptp.r2 @t230 @t516)) % 27.45/27.81 (define @t525 () (not @t524)) % 27.45/27.81 (define @t526 () (or @t525 @t523 @t522 @t520)) % 27.45/27.81 (define @t527 () (@list @t526)) % 27.45/27.81 (define @t528 () (and @t524 (= @t516 @t280))) % 27.45/27.81 (define @t529 () (or @t525 @t528)) % 27.45/27.81 (define @t530 () (= @t280 @t516)) % 27.45/27.81 (define @t531 () (and @t524 @t530)) % 27.45/27.81 (define @t532 () (or @t525 @t531)) % 27.45/27.81 (define @t533 () (@list @t283)) % 27.45/27.81 (define @t534 () (tptp.r2 @t280 @t506)) % 27.45/27.81 (define @t535 () (and @t534 (= @t506 @t299))) % 27.45/27.81 (define @t536 () (not @t534)) % 27.45/27.81 (define @t537 () (or @t536 @t535)) % 27.45/27.81 (define @t538 () (= @t299 @t506)) % 27.45/27.81 (define @t539 () (and @t534 @t538)) % 27.45/27.81 (define @t540 () (or @t536 @t539)) % 27.45/27.81 (define @t541 () (@list @t302)) % 27.45/27.81 (define @t542 () (tptp.r3 @t280 @t230 @t450)) % 27.45/27.81 (define @t543 () (not @t542)) % 27.45/27.81 (define @t544 () (forall @t42 (or (not (forall @t453 (or @t543 (and @t542 @t451)))) (not (tptp.r3 @t280 @t230 @t29))))) % 27.45/27.81 (define @t545 () (@quantifiers_skolemize @t544 0)) % 27.45/27.81 (define @t546 () (not (tptp.r3 @t280 @t230 @t545))) % 27.45/27.81 (define @t547 () (forall @t453 (or @t543 (and @t542 (= @t450 @t545))))) % 27.45/27.81 (define @t548 () (not @t547)) % 27.45/27.81 (define @t549 () (or @t548 @t546)) % 27.45/27.81 (define @t550 () (not @t549)) % 27.45/27.81 (define @t551 () (not @t544)) % 27.45/27.81 (define @t552 () (and @t542 (= @t545 @t450))) % 27.45/27.81 (define @t553 () (or @t543 @t552)) % 27.45/27.81 (define @t554 () (forall @t453 @t553)) % 27.45/27.81 (define @t555 () (not @t554)) % 27.45/27.81 (define @t556 () (or @t555 @t546)) % 27.45/27.81 (define @t557 () (not @t556)) % 27.45/27.81 (define @t558 () (and @t519 (= @t518 @t545))) % 27.45/27.81 (define @t559 () (or @t520 @t558)) % 27.45/27.81 (define @t560 () (= @t545 @t518)) % 27.45/27.81 (define @t561 () (and @t519 @t560)) % 27.45/27.81 (define @t562 () (or @t520 @t561)) % 27.45/27.81 (define @t563 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 27.45/27.81 (define @t564 () (not (tptp.r3 @t115 @t563 @t115))) % 27.45/27.81 (define @t565 () (not (tptp.r1 @t563))) % 27.45/27.81 (define @t566 () (not (= @t115 @t115))) % 27.45/27.81 (define @t567 () (or @t566 @t565 @t564)) % 27.45/27.81 (define @t568 () (@list @t563)) % 27.45/27.81 (define @t569 () (not (tptp.r3 @t115 @t563 @t116))) % 27.45/27.81 (define @t570 () (= @t115 @t116)) % 27.45/27.81 (define @t571 () (not @t570)) % 27.45/27.81 (define @t572 () (or @t571 @t571 @t565 @t569)) % 27.45/27.81 (define @t573 () (or @t571 @t565 @t569)) % 27.45/27.81 (define @t574 () (forall @t125 @t573)) % 27.45/27.81 (define @t575 () (forall @t568 @t574)) % 27.45/27.81 (define @t576 () (forall (@list @t563 @t116) @t573)) % 27.45/27.81 (define @t577 () (@list @t116 @t563)) % 27.45/27.81 (define @t578 () (or @t565 @t569)) % 27.45/27.81 (define @t579 () (or @t578 @t571)) % 27.45/27.81 (define @t580 () (forall @t577 @t579)) % 27.45/27.81 (define @t581 () (forall @t568 @t579)) % 27.45/27.81 (define @t582 () (forall @t568 @t578)) % 27.45/27.81 (define @t583 () (or @t582 @t571)) % 27.45/27.81 (define @t584 () (forall @t122 (or (not @t120) (not @t119)))) % 27.45/27.81 (define @t585 () (not @t584)) % 27.45/27.81 (define @t586 () (and @t585 @t570)) % 27.45/27.81 (define @t587 () (forall @t125 (not @t586))) % 27.45/27.81 (define @t588 () (not @t587)) % 27.45/27.81 (define @t589 () (forall @t122 (not @t121))) % 27.45/27.81 (define @t590 () (not @t589)) % 27.45/27.81 (define @t591 () (@quantifiers_skolemize (forall @t568 (or @t565 (not (tptp.r3 @t280 @t563 @t280)))) 0)) % 27.45/27.81 (define @t592 () (tptp.r3 @t280 @t591 @t280)) % 27.45/27.81 (define @t593 () (not @t592)) % 27.45/27.81 (define @t594 () (tptp.r1 @t591)) % 27.45/27.81 (define @t595 () (not @t594)) % 27.45/27.81 (define @t596 () (or @t595 @t593)) % 27.45/27.81 (define @t597 () (@list @t596)) % 27.45/27.81 (define @t598 () (and @t594 (= @t591 @t230))) % 27.45/27.81 (define @t599 () (or @t595 @t598)) % 27.45/27.81 (define @t600 () (= @t230 @t591)) % 27.45/27.81 (define @t601 () (and @t594 @t600)) % 27.45/27.81 (define @t602 () (or @t595 @t601)) % 27.45/27.81 (define @t603 () (@list @t233)) % 27.45/27.81 (define @t604 () (tptp.r3 @t280 @t230 @t280)) % 27.45/27.81 (define @t605 () (= @t280 @t545)) % 27.45/27.81 (define @t606 () (and @t604 @t605)) % 27.45/27.81 (define @t607 () (not @t604)) % 27.45/27.81 (define @t608 () (or @t607 @t606)) % 27.45/27.81 (define @t609 () (tptp.r2 @t299 @t321)) % 27.45/27.81 (define @t610 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 27.45/27.81 (define @t611 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 27.45/27.81 (define @t612 () (not (tptp.r2 @t611 @t610))) % 27.45/27.81 (define @t613 () (not (tptp.r1 @t611))) % 27.45/27.81 (define @t614 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 27.45/27.81 (define @t615 () (not (tptp.r2 @t610 @t614))) % 27.45/27.81 (define @t616 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 27.45/27.81 (define @t617 () (not (tptp.r2 @t614 @t616))) % 27.45/27.81 (define @t618 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 27.45/27.81 (define @t619 () (not (tptp.r2 @t616 @t618))) % 27.45/27.81 (define @t620 () (@var "BOUND_VARIABLE_8482" $$unsorted)) % 27.45/27.81 (define @t621 () (not (tptp.r3 @t620 @t618 @t148))) % 27.45/27.81 (define @t622 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 27.45/27.81 (define @t623 () (@var "BOUND_VARIABLE_8469" $$unsorted)) % 27.45/27.81 (define @t624 () (not (tptp.r2 @t623 @t622))) % 27.45/27.81 (define @t625 () (not (tptp.r1 @t623))) % 27.45/27.81 (define @t626 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 27.45/27.81 (define @t627 () (not (tptp.r2 @t622 @t626))) % 27.45/27.81 (define @t628 () (@var "BOUND_VARIABLE_8461" $$unsorted)) % 27.45/27.81 (define @t629 () (not (tptp.r4 @t626 @t628 @t148))) % 27.45/27.81 (define @t630 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 27.45/27.81 (define @t631 () (not (tptp.r3 @t628 @t630 @t148))) % 27.45/27.81 (define @t632 () (or @t631 @t629 @t627 @t625 @t624 @t621 @t619 @t617 @t615 @t613 @t612)) % 27.45/27.81 (define @t633 () (@list @t148 @t628 @t630 @t626 @t622 @t623 @t620 @t618 @t616 @t614 @t610 @t611)) % 27.45/27.81 (define @t634 () (or @t621 @t619 @t617 @t615 @t613 @t612)) % 27.45/27.81 (define @t635 () (or @t631 @t629 @t627 @t625 @t624)) % 27.45/27.81 (define @t636 () (or @t635 @t634)) % 27.45/27.81 (define @t637 () (forall @t633 @t636)) % 27.45/27.81 (define @t638 () (forall (@list @t628 @t630 @t626 @t622 @t623 @t620 @t618 @t616 @t614 @t610 @t611) @t636)) % 27.45/27.81 (define @t639 () (forall (@list @t620 @t618 @t616 @t614 @t610 @t611) @t634)) % 27.45/27.81 (define @t640 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 27.45/27.81 (define @t641 () (@var "BOUND_VARIABLE_8423" $$unsorted)) % 27.45/27.81 (define @t642 () (@var "BOUND_VARIABLE_8421" $$unsorted)) % 27.45/27.81 (define @t643 () (@var "BOUND_VARIABLE_8419" $$unsorted)) % 27.45/27.81 (define @t644 () (@var "BOUND_VARIABLE_8417" $$unsorted)) % 27.45/27.81 (define @t645 () (forall (@list @t628 @t630 @t626 @t622 @t623) @t635)) % 27.45/27.81 (define @t646 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 27.45/27.81 (define @t647 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 27.45/27.81 (define @t648 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 27.45/27.81 (define @t649 () (or @t645 @t639)) % 27.45/27.81 (define @t650 () (not (tptp.r2 @t640 @t641))) % 27.45/27.81 (define @t651 () (not (tptp.r1 @t640))) % 27.45/27.81 (define @t652 () (not (tptp.r2 @t641 @t642))) % 27.45/27.81 (define @t653 () (not (tptp.r2 @t642 @t643))) % 27.45/27.81 (define @t654 () (not (tptp.r2 @t643 @t644))) % 27.45/27.81 (define @t655 () (not (tptp.r3 @t94 @t644 @t148))) % 27.45/27.81 (define @t656 () (or @t655 @t654 @t653 @t652 @t651 @t650)) % 27.45/27.81 (define @t657 () (@list @t94 @t644 @t643 @t642 @t641 @t640)) % 27.45/27.81 (define @t658 () (forall @t657 @t656)) % 27.45/27.81 (define @t659 () (not (tptp.r2 @t646 @t647))) % 27.45/27.81 (define @t660 () (not (tptp.r1 @t646))) % 27.45/27.81 (define @t661 () (not (tptp.r2 @t647 @t648))) % 27.45/27.81 (define @t662 () (not (tptp.r4 @t648 @t89 @t148))) % 27.45/27.81 (define @t663 () (tptp.r3 @t89 @t65 @t148)) % 27.45/27.81 (define @t664 () (not @t663)) % 27.45/27.81 (define @t665 () (or @t664 @t662 @t661 @t660 @t659)) % 27.45/27.81 (define @t666 () (@list @t89 @t65 @t648 @t647 @t646)) % 27.45/27.81 (define @t667 () (forall @t666 @t665)) % 27.45/27.81 (define @t668 () (not @t658)) % 27.45/27.81 (define @t669 () (not @t667)) % 27.45/27.81 (define @t670 () (and @t669 @t668)) % 27.45/27.81 (define @t671 () (forall @t196 (not @t670))) % 27.45/27.81 (define @t672 () (not @t671)) % 27.45/27.81 (define @t673 () (not (= @t148 @t148))) % 27.45/27.81 (define @t674 () (or @t673 @t655 @t654 @t653 @t652 @t651 @t650)) % 27.45/27.81 (define @t675 () (not (tptp.r3 @t94 @t644 @t70))) % 27.45/27.81 (define @t676 () (not @t170)) % 27.45/27.81 (define @t677 () (or @t676 @t676 @t675 @t654 @t653 @t652 @t651 @t650)) % 27.45/27.81 (define @t678 () (or @t676 @t675 @t654 @t653 @t652 @t651 @t650)) % 27.45/27.81 (define @t679 () (forall @t79 @t678)) % 27.45/27.81 (define @t680 () (forall @t657 @t679)) % 27.45/27.81 (define @t681 () (forall (@list @t94 @t644 @t643 @t642 @t641 @t640 @t70) @t678)) % 27.45/27.81 (define @t682 () (@list @t94 @t70 @t644 @t643 @t642 @t641 @t640)) % 27.45/27.81 (define @t683 () (or @t675 @t654 @t653 @t652 @t651 @t650)) % 27.45/27.81 (define @t684 () (or @t676 @t683)) % 27.45/27.81 (define @t685 () (forall @t682 @t684)) % 27.45/27.81 (define @t686 () (@list @t644 @t643 @t642 @t641 @t640)) % 27.45/27.81 (define @t687 () (forall @t686 @t684)) % 27.45/27.81 (define @t688 () (forall @t686 @t683)) % 27.45/27.81 (define @t689 () (@var "BOUND_VARIABLE_8390" $$unsorted)) % 27.45/27.81 (define @t690 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 27.45/27.81 (define @t691 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 27.45/27.81 (define @t692 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 27.45/27.81 (define @t693 () (or @t676 @t688)) % 27.45/27.81 (define @t694 () (not (tptp.r2 @t689 @t690))) % 27.45/27.81 (define @t695 () (not (tptp.r1 @t689))) % 27.45/27.81 (define @t696 () (not (tptp.r2 @t690 @t691))) % 27.45/27.81 (define @t697 () (not (tptp.r2 @t691 @t692))) % 27.45/27.81 (define @t698 () (not (tptp.r2 @t692 @t61))) % 27.45/27.81 (define @t699 () (not @t167)) % 27.45/27.81 (define @t700 () (or @t699 @t698 @t697 @t696 @t695 @t694)) % 27.45/27.81 (define @t701 () (@list @t61 @t692 @t691 @t690 @t689)) % 27.45/27.81 (define @t702 () (forall @t701 @t700)) % 27.45/27.81 (define @t703 () (not @t702)) % 27.45/27.81 (define @t704 () (and @t170 @t703)) % 27.45/27.81 (define @t705 () (forall @t172 (not @t704))) % 27.45/27.81 (define @t706 () (not @t705)) % 27.45/27.81 (define @t707 () (or @t698 @t697 @t696 @t695 @t694)) % 27.45/27.81 (define @t708 () (or @t699 @t707)) % 27.45/27.81 (define @t709 () (forall @t701 @t708)) % 27.45/27.81 (define @t710 () (@list @t692 @t691 @t690 @t689)) % 27.45/27.81 (define @t711 () (forall @t710 @t708)) % 27.45/27.81 (define @t712 () (forall @t710 @t707)) % 27.45/27.81 (define @t713 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 27.45/27.81 (define @t714 () (@var "BOUND_VARIABLE_8357" $$unsorted)) % 27.45/27.81 (define @t715 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 27.45/27.81 (define @t716 () (or @t699 @t712)) % 27.45/27.81 (define @t717 () (not (tptp.r2 @t713 @t714))) % 27.45/27.81 (define @t718 () (not (tptp.r1 @t713))) % 27.45/27.81 (define @t719 () (not (tptp.r2 @t714 @t715))) % 27.45/27.81 (define @t720 () (not (tptp.r2 @t715 @t116))) % 27.45/27.81 (define @t721 () (not @t164)) % 27.45/27.81 (define @t722 () (or @t721 @t720 @t719 @t718 @t717)) % 27.45/27.81 (define @t723 () (@list @t116 @t715 @t714 @t713)) % 27.45/27.81 (define @t724 () (forall @t723 @t722)) % 27.45/27.81 (define @t725 () (not @t724)) % 27.45/27.81 (define @t726 () (and @t167 @t725)) % 27.45/27.81 (define @t727 () (forall @t68 (not @t726))) % 27.45/27.81 (define @t728 () (not @t727)) % 27.45/27.81 (define @t729 () (or @t720 @t719 @t718 @t717)) % 27.45/27.81 (define @t730 () (or @t721 @t729)) % 27.45/27.81 (define @t731 () (forall @t723 @t730)) % 27.45/27.81 (define @t732 () (@list @t715 @t714 @t713)) % 27.45/27.81 (define @t733 () (forall @t732 @t730)) % 27.45/27.81 (define @t734 () (forall @t732 @t729)) % 27.45/27.81 (define @t735 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 27.45/27.81 (define @t736 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 27.45/27.81 (define @t737 () (or @t721 @t734)) % 27.45/27.81 (define @t738 () (not (tptp.r2 @t735 @t736))) % 27.45/27.81 (define @t739 () (not (tptp.r1 @t735))) % 27.45/27.81 (define @t740 () (not (tptp.r2 @t736 @t146))) % 27.45/27.81 (define @t741 () (not @t160)) % 27.45/27.81 (define @t742 () (or @t741 @t740 @t739 @t738)) % 27.45/27.81 (define @t743 () (@list @t146 @t736 @t735)) % 27.45/27.81 (define @t744 () (forall @t743 @t742)) % 27.45/27.81 (define @t745 () (not @t744)) % 27.45/27.81 (define @t746 () (and @t164 @t745)) % 27.45/27.81 (define @t747 () (forall @t125 (not @t746))) % 27.45/27.81 (define @t748 () (not @t747)) % 27.45/27.81 (define @t749 () (or @t740 @t739 @t738)) % 27.45/27.81 (define @t750 () (or @t741 @t749)) % 27.45/27.81 (define @t751 () (forall @t743 @t750)) % 27.45/27.81 (define @t752 () (@list @t736 @t735)) % 27.45/27.81 (define @t753 () (forall @t752 @t750)) % 27.45/27.81 (define @t754 () (forall @t752 @t749)) % 27.45/27.81 (define @t755 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 27.45/27.81 (define @t756 () (or @t741 @t754)) % 27.45/27.81 (define @t757 () (not (tptp.r2 @t755 @t112))) % 27.45/27.81 (define @t758 () (not (tptp.r1 @t755))) % 27.45/27.81 (define @t759 () (not @t157)) % 27.45/27.81 (define @t760 () (or @t759 @t758 @t757)) % 27.45/27.81 (define @t761 () (@list @t112 @t755)) % 27.45/27.81 (define @t762 () (forall @t761 @t760)) % 27.45/27.81 (define @t763 () (not @t762)) % 27.45/27.81 (define @t764 () (and @t160 @t763)) % 27.45/27.81 (define @t765 () (forall @t162 (not @t764))) % 27.45/27.81 (define @t766 () (not @t765)) % 27.45/27.81 (define @t767 () (or @t758 @t757)) % 27.45/27.81 (define @t768 () (or @t759 @t767)) % 27.45/27.81 (define @t769 () (forall @t761 @t768)) % 27.45/27.81 (define @t770 () (@list @t755)) % 27.45/27.81 (define @t771 () (forall @t770 @t768)) % 27.45/27.81 (define @t772 () (forall @t770 @t767)) % 27.45/27.81 (define @t773 () (or @t759 @t772)) % 27.45/27.81 (define @t774 () (forall @t76 (or (not @t154) (not @t153)))) % 27.45/27.81 (define @t775 () (not @t774)) % 27.45/27.81 (define @t776 () (and @t157 @t775)) % 27.45/27.81 (define @t777 () (forall @t113 (not @t776))) % 27.45/27.81 (define @t778 () (not @t777)) % 27.45/27.81 (define @t779 () (forall @t76 (not @t155))) % 27.45/27.81 (define @t780 () (not @t779)) % 27.45/27.81 (define @t781 () (or @t662 @t661 @t660 @t659)) % 27.45/27.81 (define @t782 () (or @t781 @t664)) % 27.45/27.81 (define @t783 () (forall @t666 @t782)) % 27.45/27.81 (define @t784 () (@list @t648 @t647 @t646)) % 27.45/27.81 (define @t785 () (forall @t784 @t782)) % 27.45/27.81 (define @t786 () (forall @t784 @t781)) % 27.45/27.81 (define @t787 () (@var "BOUND_VARIABLE_8226" $$unsorted)) % 27.45/27.81 (define @t788 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 27.45/27.81 (define @t789 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 27.45/27.81 (define @t790 () (@list @t789 @t788 @t787)) % 27.45/27.81 (define @t791 () (or @t786 @t664)) % 27.45/27.81 (define @t792 () (not (tptp.r2 @t787 @t788))) % 27.45/27.81 (define @t793 () (not (tptp.r1 @t787))) % 27.45/27.81 (define @t794 () (not (tptp.r2 @t788 @t789))) % 27.45/27.81 (define @t795 () (not (tptp.r4 @t789 @t89 @t148))) % 27.45/27.81 (define @t796 () (or @t795 @t794 @t793 @t792)) % 27.45/27.81 (define @t797 () (@list @t789 @t788 @t787)) % 27.45/27.81 (define @t798 () (forall @t797 @t796)) % 27.45/27.81 (define @t799 () (not @t798)) % 27.45/27.81 (define @t800 () (and @t799 @t663)) % 27.45/27.81 (define @t801 () (forall @t193 (not @t800))) % 27.45/27.81 (define @t802 () (not @t801)) % 27.45/27.81 (define @t803 () (or @t664 @t673)) % 27.45/27.81 (define @t804 () (not @t174)) % 27.45/27.81 (define @t805 () (not @t175)) % 27.45/27.81 (define @t806 () (or @t804 @t805 @t804)) % 27.45/27.81 (define @t807 () (or @t805 @t804)) % 27.45/27.81 (define @t808 () (forall @t143 (not @t176))) % 27.45/27.81 (define @t809 () (not @t808)) % 27.45/27.81 (define @t810 () (or @t673 @t795 @t794 @t793 @t792)) % 27.45/27.81 (define @t811 () (not (tptp.r4 @t789 @t89 @t85))) % 27.45/27.81 (define @t812 () (not @t178)) % 27.45/27.81 (define @t813 () (or @t812 @t812 @t811 @t794 @t793 @t792)) % 27.45/27.81 (define @t814 () (or @t812 @t811 @t794 @t793 @t792)) % 27.45/27.81 (define @t815 () (forall @t92 @t814)) % 27.45/27.81 (define @t816 () (forall @t797 @t815)) % 27.45/27.81 (define @t817 () (forall (@list @t789 @t788 @t787 @t85) @t814)) % 27.45/27.81 (define @t818 () (@list @t85 @t789 @t788 @t787)) % 27.45/27.81 (define @t819 () (or @t811 @t794 @t793 @t792)) % 27.45/27.81 (define @t820 () (or @t819 @t812)) % 27.45/27.81 (define @t821 () (forall @t818 @t820)) % 27.45/27.81 (define @t822 () (forall @t797 @t820)) % 27.45/27.81 (define @t823 () (forall @t797 @t819)) % 27.45/27.81 (define @t824 () (@var "BOUND_VARIABLE_8199" $$unsorted)) % 27.45/27.81 (define @t825 () (@var "BOUND_VARIABLE_8197" $$unsorted)) % 27.45/27.81 (define @t826 () (or @t823 @t812)) % 27.45/27.81 (define @t827 () (not (tptp.r2 @t824 @t825))) % 27.45/27.81 (define @t828 () (not (tptp.r1 @t824))) % 27.45/27.81 (define @t829 () (not (tptp.r2 @t825 @t150))) % 27.45/27.81 (define @t830 () (not @t186)) % 27.45/27.81 (define @t831 () (or @t830 @t829 @t828 @t827)) % 27.45/27.81 (define @t832 () (@list @t150 @t825 @t824)) % 27.45/27.81 (define @t833 () (forall @t832 @t831)) % 27.45/27.81 (define @t834 () (not @t833)) % 27.45/27.81 (define @t835 () (and @t834 @t178)) % 27.45/27.81 (define @t836 () (forall @t92 (not @t835))) % 27.45/27.81 (define @t837 () (not @t836)) % 27.45/27.81 (define @t838 () (or @t829 @t828 @t827)) % 27.45/27.81 (define @t839 () (or @t830 @t838)) % 27.45/27.81 (define @t840 () (forall @t832 @t839)) % 27.45/27.81 (define @t841 () (@list @t825 @t824)) % 27.45/27.81 (define @t842 () (forall @t841 @t839)) % 27.45/27.81 (define @t843 () (forall @t841 @t838)) % 27.45/27.81 (define @t844 () (@var "BOUND_VARIABLE_8176" $$unsorted)) % 27.45/27.81 (define @t845 () (or @t830 @t843)) % 27.45/27.81 (define @t846 () (not (tptp.r2 @t844 @t111))) % 27.45/27.81 (define @t847 () (not (tptp.r1 @t844))) % 27.45/27.81 (define @t848 () (not @t183)) % 27.45/27.81 (define @t849 () (or @t848 @t847 @t846)) % 27.45/27.81 (define @t850 () (@list @t111 @t844)) % 27.45/27.81 (define @t851 () (forall @t850 @t849)) % 27.45/27.81 (define @t852 () (not @t851)) % 27.45/27.81 (define @t853 () (and @t186 @t852)) % 27.45/27.81 (define @t854 () (forall @t188 (not @t853))) % 27.45/27.81 (define @t855 () (not @t854)) % 27.45/27.81 (define @t856 () (or @t847 @t846)) % 27.45/27.81 (define @t857 () (or @t848 @t856)) % 27.45/27.81 (define @t858 () (forall @t850 @t857)) % 27.45/27.81 (define @t859 () (@list @t844)) % 27.45/27.81 (define @t860 () (forall @t859 @t857)) % 27.45/27.81 (define @t861 () (forall @t859 @t856)) % 27.45/27.81 (define @t862 () (@list @t96)) % 27.45/27.81 (define @t863 () (or @t848 @t861)) % 27.45/27.81 (define @t864 () (forall @t100 (or (not @t180) (not @t179)))) % 27.45/27.81 (define @t865 () (not @t864)) % 27.45/27.81 (define @t866 () (and @t183 @t865)) % 27.45/27.81 (define @t867 () (forall @t114 (not @t866))) % 27.45/27.81 (define @t868 () (not @t867)) % 27.45/27.81 (define @t869 () (forall @t100 (not @t181))) % 27.45/27.81 (define @t870 () (not @t869)) % 27.45/27.81 (define @t871 () (@list @t230 @t321)) % 27.45/27.81 (define @t872 () (not (tptp.r3 @t230 @t316 @t65))) % 27.45/27.81 (define @t873 () (forall @t319 (or (not (tptp.r2 @t321 @t316)) @t872 @t315 (not (tptp.r3 @t230 @t321 @t314))))) % 27.45/27.81 (define @t874 () (@quantifiers_skolemize @t873 0)) % 27.45/27.81 (define @t875 () (@quantifiers_skolemize @t873 1)) % 27.45/27.81 (define @t876 () (tptp.r3 @t230 @t875 @t874)) % 27.45/27.81 (define @t877 () (@quantifiers_skolemize @t873 2)) % 27.45/27.81 (define @t878 () (tptp.r3 @t230 @t321 @t877)) % 27.45/27.81 (define @t879 () (not @t878)) % 27.45/27.81 (define @t880 () (tptp.r2 @t877 @t874)) % 27.45/27.81 (define @t881 () (not @t880)) % 27.45/27.81 (define @t882 () (not @t876)) % 27.45/27.81 (define @t883 () (tptp.r2 @t321 @t875)) % 27.45/27.81 (define @t884 () (not @t883)) % 27.45/27.81 (define @t885 () (or @t884 @t882 @t881 @t879)) % 27.45/27.81 (define @t886 () (@list @t885)) % 27.45/27.81 (define @t887 () (tptp.r2 @t321 @t874)) % 27.45/27.81 (define @t888 () (and @t887 (= @t874 @t326))) % 27.45/27.81 (define @t889 () (not @t887)) % 27.45/27.81 (define @t890 () (or @t889 @t888)) % 27.45/27.81 (define @t891 () (= @t326 @t874)) % 27.45/27.81 (define @t892 () (and @t887 @t891)) % 27.45/27.81 (define @t893 () (or @t889 @t892)) % 27.45/27.81 (define @t894 () (@list @t329)) % 27.45/27.81 (define @t895 () (tptp.r3 @t230 @t321 @t450)) % 27.45/27.81 (define @t896 () (not @t895)) % 27.45/27.81 (define @t897 () (forall @t42 (or (not (forall @t453 (or @t896 (and @t895 @t451)))) (not (tptp.r3 @t230 @t321 @t29))))) % 27.45/27.81 (define @t898 () (@quantifiers_skolemize @t897 0)) % 27.45/27.81 (define @t899 () (not (tptp.r3 @t230 @t321 @t898))) % 27.45/27.81 (define @t900 () (forall @t453 (or @t896 (and @t895 (= @t450 @t898))))) % 27.45/27.81 (define @t901 () (not @t900)) % 27.45/27.81 (define @t902 () (or @t901 @t899)) % 27.45/27.81 (define @t903 () (not @t902)) % 27.45/27.81 (define @t904 () (not @t897)) % 27.45/27.81 (define @t905 () (and @t895 (= @t898 @t450))) % 27.45/27.81 (define @t906 () (or @t896 @t905)) % 27.45/27.81 (define @t907 () (forall @t453 @t906)) % 27.45/27.81 (define @t908 () (not @t907)) % 27.45/27.81 (define @t909 () (or @t908 @t899)) % 27.45/27.81 (define @t910 () (not @t909)) % 27.45/27.81 (define @t911 () (and @t878 (= @t877 @t898))) % 27.45/27.81 (define @t912 () (or @t879 @t911)) % 27.45/27.81 (define @t913 () (= @t898 @t877)) % 27.45/27.81 (define @t914 () (and @t878 @t913)) % 27.45/27.81 (define @t915 () (or @t879 @t914)) % 27.45/27.81 (define @t916 () (@list @t900)) % 27.45/27.81 (define @t917 () (forall @t319 (or (not (tptp.r2 @t299 @t316)) @t872 @t315 (not (tptp.r3 @t230 @t299 @t314))))) % 27.45/27.81 (define @t918 () (@quantifiers_skolemize @t917 0)) % 27.45/27.81 (define @t919 () (tptp.r3 @t230 @t321 @t918)) % 27.45/27.81 (define @t920 () (and @t919 (= @t918 @t898))) % 27.45/27.81 (define @t921 () (not @t919)) % 27.45/27.81 (define @t922 () (or @t921 @t920)) % 27.45/27.81 (define @t923 () (@list @t918)) % 27.45/27.81 (define @t924 () (= @t898 @t918)) % 27.45/27.81 (define @t925 () (and @t919 @t924)) % 27.45/27.81 (define @t926 () (or @t921 @t925)) % 27.45/27.81 (define @t927 () (@list @t230 @t299)) % 27.45/27.81 (define @t928 () (@quantifiers_skolemize @t917 1)) % 27.45/27.81 (define @t929 () (tptp.r3 @t230 @t928 @t918)) % 27.45/27.81 (define @t930 () (@quantifiers_skolemize @t917 2)) % 27.45/27.81 (define @t931 () (tptp.r3 @t230 @t299 @t930)) % 27.45/27.81 (define @t932 () (not @t931)) % 27.45/27.81 (define @t933 () (tptp.r2 @t930 @t918)) % 27.45/27.81 (define @t934 () (not @t933)) % 27.45/27.81 (define @t935 () (not @t929)) % 27.45/27.81 (define @t936 () (tptp.r2 @t299 @t928)) % 27.45/27.81 (define @t937 () (not @t936)) % 27.45/27.81 (define @t938 () (or @t937 @t935 @t934 @t932)) % 27.45/27.81 (define @t939 () (@list @t938)) % 27.45/27.81 (define @t940 () (@list @t299)) % 27.45/27.81 (define @t941 () (tptp.r2 @t299 @t246)) % 27.45/27.81 (define @t942 () (not @t941)) % 27.45/27.81 (define @t943 () (forall @t26 (or (not (forall @t249 (or @t942 (and @t941 @t247)))) (not (tptp.r2 @t299 @t14))))) % 27.45/27.81 (define @t944 () (@quantifiers_skolemize @t943 0)) % 27.45/27.81 (define @t945 () (not (tptp.r2 @t299 @t944))) % 27.45/27.81 (define @t946 () (forall @t249 (or @t942 (and @t941 (= @t246 @t944))))) % 27.45/27.81 (define @t947 () (not @t946)) % 27.45/27.81 (define @t948 () (or @t947 @t945)) % 27.45/27.81 (define @t949 () (not @t948)) % 27.45/27.81 (define @t950 () (not @t943)) % 27.45/27.81 (define @t951 () (and @t941 (= @t944 @t246))) % 27.45/27.81 (define @t952 () (or @t942 @t951)) % 27.45/27.81 (define @t953 () (forall @t249 @t952)) % 27.45/27.81 (define @t954 () (not @t953)) % 27.45/27.81 (define @t955 () (or @t954 @t945)) % 27.45/27.81 (define @t956 () (not @t955)) % 27.45/27.81 (define @t957 () (and @t936 (= @t928 @t944))) % 27.45/27.81 (define @t958 () (or @t937 @t957)) % 27.45/27.81 (define @t959 () (= @t944 @t928)) % 27.45/27.81 (define @t960 () (and @t936 @t959)) % 27.45/27.81 (define @t961 () (or @t937 @t960)) % 27.45/27.81 (define @t962 () (@list @t946)) % 27.45/27.81 (define @t963 () (= @t321 @t944)) % 27.45/27.81 (define @t964 () (and @t609 @t963)) % 27.45/27.81 (define @t965 () (not @t609)) % 27.45/27.81 (define @t966 () (or @t965 @t964)) % 27.45/27.81 (define @t967 () (tptp.r2 @t299 @t918)) % 27.45/27.81 (define @t968 () (and @t967 (= @t918 @t944))) % 27.45/27.81 (define @t969 () (not @t967)) % 27.45/27.81 (define @t970 () (or @t969 @t968)) % 27.45/27.81 (define @t971 () (= @t944 @t918)) % 27.45/27.81 (define @t972 () (and @t967 @t971)) % 27.45/27.81 (define @t973 () (or @t969 @t972)) % 27.45/27.81 (define @t974 () (tptp.r3 @t230 @t299 @t450)) % 27.45/27.81 (define @t975 () (not @t974)) % 27.45/27.81 (define @t976 () (forall @t42 (or (not (forall @t453 (or @t975 (and @t974 @t451)))) (not (tptp.r3 @t230 @t299 @t29))))) % 27.45/27.81 (define @t977 () (@quantifiers_skolemize @t976 0)) % 27.45/27.81 (define @t978 () (not (tptp.r3 @t230 @t299 @t977))) % 27.45/27.81 (define @t979 () (forall @t453 (or @t975 (and @t974 (= @t450 @t977))))) % 27.45/27.81 (define @t980 () (not @t979)) % 27.45/27.81 (define @t981 () (or @t980 @t978)) % 27.45/27.81 (define @t982 () (not @t981)) % 27.45/27.81 (define @t983 () (not @t976)) % 27.45/27.81 (define @t984 () (and @t974 (= @t977 @t450))) % 27.45/27.81 (define @t985 () (or @t975 @t984)) % 27.45/27.81 (define @t986 () (forall @t453 @t985)) % 27.45/27.81 (define @t987 () (not @t986)) % 27.45/27.81 (define @t988 () (or @t987 @t978)) % 27.45/27.81 (define @t989 () (not @t988)) % 27.45/27.81 (define @t990 () (and @t931 (= @t930 @t977))) % 27.45/27.81 (define @t991 () (or @t932 @t990)) % 27.45/27.81 (define @t992 () (= @t977 @t930)) % 27.45/27.81 (define @t993 () (and @t931 @t992)) % 27.45/27.81 (define @t994 () (or @t932 @t993)) % 27.45/27.81 (define @t995 () (@list @t979)) % 27.45/27.81 (define @t996 () (forall @t319 (or @t318 @t872 @t315 (not (tptp.r3 @t230 @t280 @t314))))) % 27.45/27.81 (define @t997 () (@quantifiers_skolemize @t996 0)) % 27.45/27.81 (define @t998 () (@list @t997)) % 27.45/27.81 (define @t999 () (@list @t230 @t280)) % 27.45/27.81 (define @t1000 () (@quantifiers_skolemize @t996 1)) % 27.45/27.81 (define @t1001 () (tptp.r3 @t230 @t1000 @t997)) % 27.45/27.81 (define @t1002 () (@quantifiers_skolemize @t996 2)) % 27.45/27.81 (define @t1003 () (tptp.r3 @t230 @t280 @t1002)) % 27.45/27.81 (define @t1004 () (not @t1003)) % 27.45/27.81 (define @t1005 () (tptp.r2 @t1002 @t997)) % 27.45/27.81 (define @t1006 () (not @t1005)) % 27.45/27.81 (define @t1007 () (not @t1001)) % 27.45/27.81 (define @t1008 () (tptp.r2 @t280 @t1000)) % 27.45/27.81 (define @t1009 () (not @t1008)) % 27.45/27.81 (define @t1010 () (or @t1009 @t1007 @t1006 @t1004)) % 27.45/27.81 (define @t1011 () (@list @t1010)) % 27.45/27.81 (define @t1012 () (and @t1008 (= @t1000 @t299))) % 27.45/27.81 (define @t1013 () (or @t1009 @t1012)) % 27.45/27.81 (define @t1014 () (= @t299 @t1000)) % 27.45/27.81 (define @t1015 () (and @t1008 @t1014)) % 27.45/27.81 (define @t1016 () (or @t1009 @t1015)) % 27.45/27.81 (define @t1017 () (tptp.r3 @t230 @t299 @t997)) % 27.45/27.81 (define @t1018 () (= @t997 @t977)) % 27.45/27.81 (define @t1019 () (and @t1017 @t1018)) % 27.45/27.81 (define @t1020 () (not @t1017)) % 27.45/27.81 (define @t1021 () (or @t1020 @t1019)) % 27.45/27.81 (define @t1022 () (tptp.r2 @t280 @t997)) % 27.45/27.81 (define @t1023 () (and @t1022 (= @t997 @t299))) % 27.45/27.81 (define @t1024 () (not @t1022)) % 27.45/27.81 (define @t1025 () (or @t1024 @t1023)) % 27.45/27.81 (define @t1026 () (= @t299 @t997)) % 27.45/27.81 (define @t1027 () (and @t1022 @t1026)) % 27.45/27.81 (define @t1028 () (or @t1024 @t1027)) % 27.45/27.81 (define @t1029 () (tptp.r3 @t230 @t280 @t450)) % 27.45/27.81 (define @t1030 () (not @t1029)) % 27.45/27.81 (define @t1031 () (forall @t42 (or (not (forall @t453 (or @t1030 (and @t1029 @t451)))) (not (tptp.r3 @t230 @t280 @t29))))) % 27.45/27.81 (define @t1032 () (@quantifiers_skolemize @t1031 0)) % 27.45/27.81 (define @t1033 () (not (tptp.r3 @t230 @t280 @t1032))) % 27.45/27.81 (define @t1034 () (forall @t453 (or @t1030 (and @t1029 (= @t450 @t1032))))) % 27.45/27.81 (define @t1035 () (not @t1034)) % 27.45/27.81 (define @t1036 () (or @t1035 @t1033)) % 27.45/27.81 (define @t1037 () (not @t1036)) % 27.45/27.81 (define @t1038 () (not @t1031)) % 27.45/27.81 (define @t1039 () (and @t1029 (= @t1032 @t450))) % 27.45/27.81 (define @t1040 () (or @t1030 @t1039)) % 27.45/27.81 (define @t1041 () (forall @t453 @t1040)) % 27.45/27.81 (define @t1042 () (not @t1041)) % 27.45/27.81 (define @t1043 () (or @t1042 @t1033)) % 27.45/27.81 (define @t1044 () (not @t1043)) % 27.45/27.81 (define @t1045 () (and @t1003 (= @t1002 @t1032))) % 27.45/27.81 (define @t1046 () (or @t1004 @t1045)) % 27.45/27.81 (define @t1047 () (= @t1032 @t1002)) % 27.45/27.81 (define @t1048 () (and @t1003 @t1047)) % 27.45/27.81 (define @t1049 () (or @t1004 @t1048)) % 27.45/27.81 (define @t1050 () (forall @t319 (or @t504 @t872 @t315 (not (tptp.r3 @t230 @t230 @t314))))) % 27.45/27.81 (define @t1051 () (@quantifiers_skolemize @t1050 0)) % 27.45/27.81 (define @t1052 () (@list @t1051)) % 27.45/27.81 (define @t1053 () (@list @t230 @t230)) % 27.45/27.81 (define @t1054 () (@quantifiers_skolemize @t1050 1)) % 27.45/27.81 (define @t1055 () (tptp.r3 @t230 @t1054 @t1051)) % 27.45/27.81 (define @t1056 () (@quantifiers_skolemize @t1050 2)) % 27.45/27.81 (define @t1057 () (tptp.r3 @t230 @t230 @t1056)) % 27.45/27.81 (define @t1058 () (not @t1057)) % 27.45/27.81 (define @t1059 () (tptp.r2 @t1056 @t1051)) % 27.45/27.81 (define @t1060 () (not @t1059)) % 27.45/27.81 (define @t1061 () (not @t1055)) % 27.45/27.81 (define @t1062 () (tptp.r2 @t230 @t1054)) % 27.45/27.81 (define @t1063 () (not @t1062)) % 27.45/27.81 (define @t1064 () (or @t1063 @t1061 @t1060 @t1058)) % 27.45/27.81 (define @t1065 () (@list @t1064)) % 27.45/27.81 (define @t1066 () (and @t1062 (= @t1054 @t280))) % 27.45/27.81 (define @t1067 () (or @t1063 @t1066)) % 27.45/27.81 (define @t1068 () (= @t280 @t1054)) % 27.45/27.81 (define @t1069 () (and @t1062 @t1068)) % 27.45/27.81 (define @t1070 () (or @t1063 @t1069)) % 27.45/27.81 (define @t1071 () (tptp.r3 @t230 @t280 @t1051)) % 27.45/27.81 (define @t1072 () (= @t1051 @t1032)) % 27.45/27.81 (define @t1073 () (and @t1071 @t1072)) % 27.45/27.81 (define @t1074 () (not @t1071)) % 27.45/27.81 (define @t1075 () (or @t1074 @t1073)) % 27.45/27.81 (define @t1076 () (tptp.r2 @t230 @t1051)) % 27.45/27.81 (define @t1077 () (and @t1076 (= @t1051 @t280))) % 27.45/27.81 (define @t1078 () (not @t1076)) % 27.45/27.81 (define @t1079 () (or @t1078 @t1077)) % 27.45/27.81 (define @t1080 () (= @t280 @t1051)) % 27.45/27.81 (define @t1081 () (and @t1076 @t1080)) % 27.45/27.81 (define @t1082 () (or @t1078 @t1081)) % 27.45/27.81 (define @t1083 () (tptp.r3 @t230 @t230 @t450)) % 27.45/27.81 (define @t1084 () (not @t1083)) % 27.45/27.81 (define @t1085 () (forall @t42 (or (not (forall @t453 (or @t1084 (and @t1083 @t451)))) (not (tptp.r3 @t230 @t230 @t29))))) % 27.45/27.81 (define @t1086 () (@quantifiers_skolemize @t1085 0)) % 27.45/27.81 (define @t1087 () (not (tptp.r3 @t230 @t230 @t1086))) % 27.45/27.81 (define @t1088 () (forall @t453 (or @t1084 (and @t1083 (= @t450 @t1086))))) % 27.45/27.81 (define @t1089 () (not @t1088)) % 27.45/27.81 (define @t1090 () (or @t1089 @t1087)) % 27.45/27.81 (define @t1091 () (not @t1090)) % 27.45/27.81 (define @t1092 () (not @t1085)) % 27.45/27.81 (define @t1093 () (and @t1083 (= @t1086 @t450))) % 27.45/27.81 (define @t1094 () (or @t1084 @t1093)) % 27.45/27.81 (define @t1095 () (forall @t453 @t1094)) % 27.45/27.81 (define @t1096 () (not @t1095)) % 27.45/27.81 (define @t1097 () (or @t1096 @t1087)) % 27.45/27.81 (define @t1098 () (not @t1097)) % 27.45/27.81 (define @t1099 () (and @t1057 (= @t1056 @t1086))) % 27.45/27.81 (define @t1100 () (or @t1058 @t1099)) % 27.45/27.81 (define @t1101 () (= @t1086 @t1056)) % 27.45/27.81 (define @t1102 () (and @t1057 @t1101)) % 27.45/27.81 (define @t1103 () (or @t1058 @t1102)) % 27.45/27.81 (define @t1104 () (@quantifiers_skolemize (forall @t568 (or @t565 (not (tptp.r3 @t230 @t563 @t230)))) 0)) % 27.45/27.81 (define @t1105 () (tptp.r3 @t230 @t1104 @t230)) % 27.45/27.81 (define @t1106 () (not @t1105)) % 27.45/27.81 (define @t1107 () (tptp.r1 @t1104)) % 27.45/27.81 (define @t1108 () (not @t1107)) % 27.45/27.81 (define @t1109 () (or @t1108 @t1106)) % 27.45/27.81 (define @t1110 () (@list @t1109)) % 27.45/27.81 (define @t1111 () (and @t1107 (= @t1104 @t230))) % 27.45/27.81 (define @t1112 () (or @t1108 @t1111)) % 27.45/27.81 (define @t1113 () (= @t230 @t1104)) % 27.45/27.81 (define @t1114 () (and @t1107 @t1113)) % 27.45/27.81 (define @t1115 () (or @t1108 @t1114)) % 27.45/27.81 (define @t1116 () (tptp.r3 @t230 @t230 @t230)) % 27.45/27.81 (define @t1117 () (= @t230 @t1086)) % 27.45/27.81 (define @t1118 () (and @t1116 @t1117)) % 27.45/27.81 (define @t1119 () (not @t1116)) % 27.45/27.81 (define @t1120 () (or @t1119 @t1118)) % 27.45/27.81 (define @t1121 () (not (tptp.r3 @t299 @t316 @t65))) % 27.45/27.81 (define @t1122 () (forall @t319 (or @t318 @t1121 @t315 (not (tptp.r3 @t299 @t280 @t314))))) % 27.45/27.81 (define @t1123 () (@quantifiers_skolemize @t1122 0)) % 27.45/27.81 (define @t1124 () (tptp.r2 @t321 @t1123)) % 27.45/27.81 (define @t1125 () (and @t1124 (= @t1123 @t326))) % 27.45/27.81 (define @t1126 () (not @t1124)) % 27.45/27.81 (define @t1127 () (or @t1126 @t1125)) % 27.45/27.81 (define @t1128 () (@list @t1123)) % 27.45/27.81 (define @t1129 () (= @t326 @t1123)) % 27.45/27.81 (define @t1130 () (and @t1124 @t1129)) % 27.45/27.81 (define @t1131 () (or @t1126 @t1130)) % 27.45/27.81 (define @t1132 () (@list @t299 @t280)) % 27.45/27.81 (define @t1133 () (@quantifiers_skolemize @t1122 2)) % 27.45/27.81 (define @t1134 () (tptp.r2 @t1133 @t1123)) % 27.45/27.81 (define @t1135 () (tptp.r3 @t299 @t280 @t1133)) % 27.45/27.81 (define @t1136 () (not @t1135)) % 27.45/27.81 (define @t1137 () (not @t1134)) % 27.45/27.81 (define @t1138 () (@quantifiers_skolemize @t1122 1)) % 27.45/27.81 (define @t1139 () (tptp.r3 @t299 @t1138 @t1123)) % 27.45/27.81 (define @t1140 () (not @t1139)) % 27.45/27.81 (define @t1141 () (tptp.r2 @t280 @t1138)) % 27.45/27.81 (define @t1142 () (not @t1141)) % 27.45/27.81 (define @t1143 () (or @t1142 @t1140 @t1137 @t1136)) % 27.45/27.81 (define @t1144 () (@list @t1143)) % 27.45/27.81 (define @t1145 () (tptp.r3 @t299 @t280 @t450)) % 27.45/27.81 (define @t1146 () (not @t1145)) % 27.45/27.81 (define @t1147 () (forall @t42 (or (not (forall @t453 (or @t1146 (and @t1145 @t451)))) (not (tptp.r3 @t299 @t280 @t29))))) % 27.45/27.81 (define @t1148 () (@quantifiers_skolemize @t1147 0)) % 27.45/27.81 (define @t1149 () (not (tptp.r3 @t299 @t280 @t1148))) % 27.45/27.81 (define @t1150 () (forall @t453 (or @t1146 (and @t1145 (= @t450 @t1148))))) % 27.45/27.81 (define @t1151 () (not @t1150)) % 27.45/27.81 (define @t1152 () (or @t1151 @t1149)) % 27.45/27.81 (define @t1153 () (not @t1152)) % 27.45/27.81 (define @t1154 () (not @t1147)) % 27.45/27.81 (define @t1155 () (and @t1145 (= @t1148 @t450))) % 27.45/27.81 (define @t1156 () (or @t1146 @t1155)) % 27.45/27.81 (define @t1157 () (forall @t453 @t1156)) % 27.45/27.81 (define @t1158 () (not @t1157)) % 27.45/27.81 (define @t1159 () (or @t1158 @t1149)) % 27.45/27.81 (define @t1160 () (not @t1159)) % 27.45/27.81 (define @t1161 () (and @t1135 (= @t1133 @t1148))) % 27.45/27.81 (define @t1162 () (or @t1136 @t1161)) % 27.45/27.81 (define @t1163 () (= @t1148 @t1133)) % 27.45/27.81 (define @t1164 () (and @t1135 @t1163)) % 27.45/27.81 (define @t1165 () (or @t1136 @t1164)) % 27.45/27.81 (define @t1166 () (@list @t1150)) % 27.45/27.81 (define @t1167 () (forall @t319 (or @t504 @t1121 @t315 (not (tptp.r3 @t299 @t230 @t314))))) % 27.45/27.81 (define @t1168 () (@quantifiers_skolemize @t1167 0)) % 27.45/27.81 (define @t1169 () (tptp.r3 @t299 @t280 @t1168)) % 27.45/27.81 (define @t1170 () (and @t1169 (= @t1168 @t1148))) % 27.45/27.81 (define @t1171 () (not @t1169)) % 27.45/27.81 (define @t1172 () (or @t1171 @t1170)) % 27.45/27.81 (define @t1173 () (@list @t1168)) % 27.45/27.81 (define @t1174 () (= @t1148 @t1168)) % 27.45/27.81 (define @t1175 () (and @t1169 @t1174)) % 27.45/27.81 (define @t1176 () (or @t1171 @t1175)) % 27.45/27.81 (define @t1177 () (@list @t299 @t230)) % 27.45/27.81 (define @t1178 () (@quantifiers_skolemize @t1167 1)) % 27.45/27.81 (define @t1179 () (tptp.r3 @t299 @t1178 @t1168)) % 27.45/27.81 (define @t1180 () (@quantifiers_skolemize @t1167 2)) % 27.45/27.81 (define @t1181 () (tptp.r3 @t299 @t230 @t1180)) % 27.45/27.81 (define @t1182 () (not @t1181)) % 27.45/27.81 (define @t1183 () (tptp.r2 @t1180 @t1168)) % 27.45/27.81 (define @t1184 () (not @t1183)) % 27.45/27.81 (define @t1185 () (not @t1179)) % 27.45/27.81 (define @t1186 () (tptp.r2 @t230 @t1178)) % 27.45/27.81 (define @t1187 () (not @t1186)) % 27.45/27.81 (define @t1188 () (or @t1187 @t1185 @t1184 @t1182)) % 27.45/27.81 (define @t1189 () (@list @t1188)) % 27.45/27.81 (define @t1190 () (and @t1186 (= @t1178 @t280))) % 27.45/27.81 (define @t1191 () (or @t1187 @t1190)) % 27.45/27.81 (define @t1192 () (= @t280 @t1178)) % 27.45/27.81 (define @t1193 () (and @t1186 @t1192)) % 27.45/27.81 (define @t1194 () (or @t1187 @t1193)) % 27.45/27.81 (define @t1195 () (tptp.r2 @t299 @t1168)) % 27.45/27.81 (define @t1196 () (and @t1195 (= @t1168 @t944))) % 27.45/27.81 (define @t1197 () (not @t1195)) % 27.45/27.81 (define @t1198 () (or @t1197 @t1196)) % 27.45/27.81 (define @t1199 () (= @t944 @t1168)) % 27.45/27.81 (define @t1200 () (and @t1195 @t1199)) % 27.45/27.81 (define @t1201 () (or @t1197 @t1200)) % 27.45/27.81 (define @t1202 () (tptp.r3 @t299 @t230 @t450)) % 27.45/27.81 (define @t1203 () (not @t1202)) % 27.45/27.81 (define @t1204 () (forall @t42 (or (not (forall @t453 (or @t1203 (and @t1202 @t451)))) (not (tptp.r3 @t299 @t230 @t29))))) % 27.45/27.81 (define @t1205 () (@quantifiers_skolemize @t1204 0)) % 27.45/27.81 (define @t1206 () (not (tptp.r3 @t299 @t230 @t1205))) % 27.45/27.81 (define @t1207 () (forall @t453 (or @t1203 (and @t1202 (= @t450 @t1205))))) % 27.45/27.81 (define @t1208 () (not @t1207)) % 27.45/27.81 (define @t1209 () (or @t1208 @t1206)) % 27.45/27.81 (define @t1210 () (not @t1209)) % 27.45/27.81 (define @t1211 () (not @t1204)) % 27.45/27.81 (define @t1212 () (and @t1202 (= @t1205 @t450))) % 27.45/27.81 (define @t1213 () (or @t1203 @t1212)) % 27.45/27.81 (define @t1214 () (forall @t453 @t1213)) % 27.45/27.81 (define @t1215 () (not @t1214)) % 27.45/27.81 (define @t1216 () (or @t1215 @t1206)) % 27.45/27.81 (define @t1217 () (not @t1216)) % 27.45/27.81 (define @t1218 () (and @t1181 (= @t1180 @t1205))) % 27.45/27.81 (define @t1219 () (or @t1182 @t1218)) % 27.45/27.81 (define @t1220 () (= @t1205 @t1180)) % 27.45/27.81 (define @t1221 () (and @t1181 @t1220)) % 27.45/27.81 (define @t1222 () (or @t1182 @t1221)) % 27.45/27.81 (define @t1223 () (@quantifiers_skolemize (forall @t568 (or @t565 (not (tptp.r3 @t299 @t563 @t299)))) 0)) % 27.45/27.81 (define @t1224 () (tptp.r3 @t299 @t1223 @t299)) % 27.45/27.81 (define @t1225 () (not @t1224)) % 27.45/27.81 (define @t1226 () (tptp.r1 @t1223)) % 27.45/27.81 (define @t1227 () (not @t1226)) % 27.45/27.81 (define @t1228 () (or @t1227 @t1225)) % 27.45/27.81 (define @t1229 () (@list @t1228)) % 27.45/27.81 (define @t1230 () (and @t1226 (= @t1223 @t230))) % 27.45/27.81 (define @t1231 () (or @t1227 @t1230)) % 27.45/27.81 (define @t1232 () (= @t230 @t1223)) % 27.45/27.81 (define @t1233 () (and @t1226 @t1232)) % 27.45/27.81 (define @t1234 () (or @t1227 @t1233)) % 27.45/27.81 (define @t1235 () (tptp.r3 @t299 @t230 @t299)) % 27.45/27.81 (define @t1236 () (= @t299 @t1205)) % 27.45/27.81 (define @t1237 () (and @t1235 @t1236)) % 27.45/27.81 (define @t1238 () (not @t1235)) % 27.45/27.81 (define @t1239 () (or @t1238 @t1237)) % 27.45/27.81 (define @t1240 () (tptp.r3 @t299 @t299 @t450)) % 27.45/27.81 (define @t1241 () (not @t1240)) % 27.45/27.81 (define @t1242 () (forall @t42 (or (not (forall @t453 (or @t1241 (and @t1240 @t451)))) (not (tptp.r3 @t299 @t299 @t29))))) % 27.45/27.81 (define @t1243 () (@quantifiers_skolemize @t1242 0)) % 27.45/27.81 (define @t1244 () (tptp.r3 @t299 @t299 @t1243)) % 27.45/27.81 (define @t1245 () (not @t1244)) % 27.45/27.81 (define @t1246 () (forall @t453 (or @t1241 (and @t1240 (= @t450 @t1243))))) % 27.45/27.81 (define @t1247 () (not @t1246)) % 27.45/27.81 (define @t1248 () (or @t1247 @t1245)) % 27.45/27.81 (define @t1249 () (not @t1248)) % 27.45/27.81 (define @t1250 () (not @t1242)) % 27.45/27.81 (define @t1251 () (and @t1240 (= @t1243 @t450))) % 27.45/27.81 (define @t1252 () (or @t1241 @t1251)) % 27.45/27.81 (define @t1253 () (forall @t453 @t1252)) % 27.45/27.81 (define @t1254 () (not @t1253)) % 27.45/27.81 (define @t1255 () (or @t1254 @t1245)) % 27.45/27.81 (define @t1256 () (not @t1255)) % 27.45/27.81 (define @t1257 () (@list @t1248)) % 27.45/27.81 (define @t1258 () (tptp.r3 @t299 @t299 @t1123)) % 27.45/27.81 (define @t1259 () (and @t1258 (= @t1123 @t1243))) % 27.45/27.81 (define @t1260 () (not @t1258)) % 27.45/27.81 (define @t1261 () (or @t1260 @t1259)) % 27.45/27.81 (define @t1262 () (= @t1243 @t1123)) % 27.45/27.81 (define @t1263 () (and @t1258 @t1262)) % 27.45/27.81 (define @t1264 () (or @t1260 @t1263)) % 27.45/27.81 (define @t1265 () (@list @t1246)) % 27.45/27.81 (define @t1266 () (and @t1141 (= @t1138 @t299))) % 27.45/27.81 (define @t1267 () (or @t1142 @t1266)) % 27.45/27.81 (define @t1268 () (= @t299 @t1138)) % 27.45/27.81 (define @t1269 () (and @t1141 @t1268)) % 27.45/27.81 (define @t1270 () (or @t1142 @t1269)) % 27.45/27.81 (define @t1271 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 27.45/27.81 (define @t1272 () (not (tptp.r3 @t1271 @t299 @t89))) % 27.45/27.81 (define @t1273 () (@var "BOUND_VARIABLE_7981" $$unsorted)) % 27.45/27.81 (define @t1274 () (not (tptp.r4 @t299 @t1273 @t89))) % 27.45/27.81 (define @t1275 () (@list @t89 @t1273 @t1271)) % 27.45/27.81 (define @t1276 () (forall @t1275 (or (not (tptp.r2 @t280 @t1273)) @t1274 @t1272 (not (tptp.r4 @t299 @t280 @t1271))))) % 27.45/27.81 (define @t1277 () (@quantifiers_skolemize @t1276 0)) % 27.45/27.81 (define @t1278 () (tptp.r3 @t299 @t299 @t1277)) % 27.45/27.81 (define @t1279 () (and @t1278 (= @t1277 @t1243))) % 27.45/27.81 (define @t1280 () (not @t1278)) % 27.45/27.81 (define @t1281 () (or @t1280 @t1279)) % 27.45/27.81 (define @t1282 () (@list @t1277)) % 27.45/27.81 (define @t1283 () (= @t1243 @t1277)) % 27.45/27.81 (define @t1284 () (and @t1278 @t1283)) % 27.45/27.81 (define @t1285 () (or @t1280 @t1284)) % 27.45/27.81 (define @t1286 () (not (tptp.r4 @t87 @t86 @t1271))) % 27.45/27.81 (define @t1287 () (not (tptp.r3 @t1271 @t87 @t89))) % 27.45/27.81 (define @t1288 () (not (tptp.r4 @t87 @t1273 @t89))) % 27.45/27.81 (define @t1289 () (not (tptp.r2 @t86 @t1273))) % 27.45/27.81 (define @t1290 () (or @t1287 @t1286)) % 27.45/27.81 (define @t1291 () (or @t1289 @t1288)) % 27.45/27.81 (define @t1292 () (or @t1291 @t1290)) % 27.45/27.81 (define @t1293 () (forall @t1275 @t1292)) % 27.45/27.81 (define @t1294 () (forall (@list @t1273 @t1271) @t1292)) % 27.45/27.81 (define @t1295 () (forall (@list @t1271) @t1290)) % 27.45/27.81 (define @t1296 () (forall (@list @t1273) @t1291)) % 27.45/27.81 (define @t1297 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 27.45/27.81 (define @t1298 () (@list @t1297)) % 27.45/27.81 (define @t1299 () (or @t1296 @t1295)) % 27.45/27.81 (define @t1300 () (forall @t92 (or (not @t90) (not @t88)))) % 27.45/27.81 (define @t1301 () (not (tptp.r4 @t87 @t1297 @t89))) % 27.45/27.81 (define @t1302 () (not (tptp.r2 @t86 @t1297))) % 27.45/27.81 (define @t1303 () (or @t1302 @t1301)) % 27.45/27.81 (define @t1304 () (@list @t1297)) % 27.45/27.81 (define @t1305 () (forall @t1304 @t1303)) % 27.45/27.81 (define @t1306 () (not @t1300)) % 27.45/27.81 (define @t1307 () (not @t1305)) % 27.45/27.81 (define @t1308 () (and @t1307 @t1306)) % 27.45/27.81 (define @t1309 () (forall @t106 (not @t1308))) % 27.45/27.81 (define @t1310 () (not @t1309)) % 27.45/27.81 (define @t1311 () (forall @t92 (not @t91))) % 27.45/27.81 (define @t1312 () (not @t1311)) % 27.45/27.81 (define @t1313 () (not (= @t89 @t89))) % 27.45/27.81 (define @t1314 () (or @t1313 @t1302 @t1301)) % 27.45/27.81 (define @t1315 () (not (tptp.r4 @t87 @t1297 @t94))) % 27.45/27.81 (define @t1316 () (= @t89 @t94)) % 27.45/27.81 (define @t1317 () (not @t1316)) % 27.45/27.81 (define @t1318 () (or @t1317 @t1317 @t1302 @t1315)) % 27.45/27.81 (define @t1319 () (or @t1317 @t1302 @t1315)) % 27.45/27.81 (define @t1320 () (forall @t103 @t1319)) % 27.45/27.81 (define @t1321 () (forall @t1304 @t1320)) % 27.45/27.81 (define @t1322 () (forall (@list @t1297 @t94) @t1319)) % 27.45/27.81 (define @t1323 () (@list @t94 @t1297)) % 27.45/27.81 (define @t1324 () (or @t1302 @t1315)) % 27.45/27.81 (define @t1325 () (or @t1324 @t1317)) % 27.45/27.81 (define @t1326 () (forall @t1323 @t1325)) % 27.45/27.81 (define @t1327 () (forall @t1304 @t1325)) % 27.45/27.81 (define @t1328 () (forall @t1304 @t1324)) % 27.45/27.81 (define @t1329 () (or @t1328 @t1317)) % 27.45/27.81 (define @t1330 () (forall @t100 (or (not @t98) (not @t97)))) % 27.45/27.81 (define @t1331 () (not @t1330)) % 27.45/27.81 (define @t1332 () (and @t1331 @t1316)) % 27.45/27.81 (define @t1333 () (forall @t103 (not @t1332))) % 27.45/27.81 (define @t1334 () (not @t1333)) % 27.45/27.81 (define @t1335 () (forall @t100 (not @t99))) % 27.45/27.81 (define @t1336 () (not @t1335)) % 27.45/27.81 (define @t1337 () (@quantifiers_skolemize @t1276 2)) % 27.45/27.81 (define @t1338 () (tptp.r3 @t1337 @t299 @t1277)) % 27.45/27.81 (define @t1339 () (tptp.r4 @t299 @t280 @t1337)) % 27.45/27.81 (define @t1340 () (not @t1339)) % 27.45/27.81 (define @t1341 () (not @t1338)) % 27.45/27.81 (define @t1342 () (@quantifiers_skolemize @t1276 1)) % 27.45/27.81 (define @t1343 () (tptp.r4 @t299 @t1342 @t1277)) % 27.45/27.81 (define @t1344 () (not @t1343)) % 27.45/27.81 (define @t1345 () (tptp.r2 @t280 @t1342)) % 27.45/27.81 (define @t1346 () (not @t1345)) % 27.45/27.81 (define @t1347 () (or @t1346 @t1344 @t1341 @t1340)) % 27.45/27.81 (define @t1348 () (@list @t1347)) % 27.45/27.81 (define @t1349 () (tptp.r4 @t299 @t280 @t341)) % 27.45/27.81 (define @t1350 () (not @t1349)) % 27.45/27.81 (define @t1351 () (forall @t58 (or (not (forall @t344 (or @t1350 (and @t1349 @t342)))) (not (tptp.r4 @t299 @t280 @t45))))) % 27.45/27.81 (define @t1352 () (@quantifiers_skolemize @t1351 0)) % 27.45/27.81 (define @t1353 () (not (tptp.r4 @t299 @t280 @t1352))) % 27.45/27.81 (define @t1354 () (forall @t344 (or @t1350 (and @t1349 (= @t341 @t1352))))) % 27.45/27.81 (define @t1355 () (not @t1354)) % 27.45/27.81 (define @t1356 () (or @t1355 @t1353)) % 27.45/27.81 (define @t1357 () (not @t1356)) % 27.45/27.81 (define @t1358 () (not @t1351)) % 27.45/27.81 (define @t1359 () (and @t1349 (= @t1352 @t341))) % 27.45/27.81 (define @t1360 () (or @t1350 @t1359)) % 27.45/27.81 (define @t1361 () (forall @t344 @t1360)) % 27.45/27.81 (define @t1362 () (not @t1361)) % 27.45/27.81 (define @t1363 () (or @t1362 @t1353)) % 27.45/27.81 (define @t1364 () (not @t1363)) % 27.45/27.81 (define @t1365 () (and @t1339 (= @t1337 @t1352))) % 27.45/27.81 (define @t1366 () (or @t1340 @t1365)) % 27.45/27.81 (define @t1367 () (= @t1352 @t1337)) % 27.45/27.81 (define @t1368 () (and @t1339 @t1367)) % 27.45/27.81 (define @t1369 () (or @t1340 @t1368)) % 27.45/27.81 (define @t1370 () (@list @t1354)) % 27.45/27.81 (define @t1371 () (forall @t1275 (or (not (tptp.r2 @t230 @t1273)) @t1274 @t1272 (not (tptp.r4 @t299 @t230 @t1271))))) % 27.45/27.81 (define @t1372 () (@quantifiers_skolemize @t1371 0)) % 27.45/27.81 (define @t1373 () (tptp.r4 @t299 @t280 @t1372)) % 27.45/27.81 (define @t1374 () (and @t1373 (= @t1372 @t1352))) % 27.45/27.81 (define @t1375 () (not @t1373)) % 27.45/27.81 (define @t1376 () (or @t1375 @t1374)) % 27.45/27.81 (define @t1377 () (@list @t1372)) % 27.45/27.81 (define @t1378 () (= @t1352 @t1372)) % 27.45/27.81 (define @t1379 () (and @t1373 @t1378)) % 27.45/27.81 (define @t1380 () (or @t1375 @t1379)) % 27.45/27.81 (define @t1381 () (@quantifiers_skolemize @t1371 1)) % 27.45/27.81 (define @t1382 () (tptp.r4 @t299 @t1381 @t1372)) % 27.45/27.81 (define @t1383 () (@quantifiers_skolemize @t1371 2)) % 27.45/27.81 (define @t1384 () (tptp.r4 @t299 @t230 @t1383)) % 27.45/27.81 (define @t1385 () (not @t1384)) % 27.45/27.81 (define @t1386 () (tptp.r3 @t1383 @t299 @t1372)) % 27.45/27.81 (define @t1387 () (not @t1386)) % 27.45/27.81 (define @t1388 () (not @t1382)) % 27.45/27.81 (define @t1389 () (tptp.r2 @t230 @t1381)) % 27.45/27.81 (define @t1390 () (not @t1389)) % 27.45/27.81 (define @t1391 () (or @t1390 @t1388 @t1387 @t1385)) % 27.45/27.81 (define @t1392 () (@list @t1391)) % 27.45/27.81 (define @t1393 () (and @t1389 (= @t1381 @t280))) % 27.45/27.81 (define @t1394 () (or @t1390 @t1393)) % 27.45/27.81 (define @t1395 () (= @t280 @t1381)) % 27.45/27.81 (define @t1396 () (and @t1389 @t1395)) % 27.45/27.81 (define @t1397 () (or @t1390 @t1396)) % 27.45/27.81 (define @t1398 () (tptp.r3 @t230 @t299 @t1372)) % 27.45/27.81 (define @t1399 () (and @t1398 (= @t1372 @t977))) % 27.45/27.81 (define @t1400 () (not @t1398)) % 27.45/27.81 (define @t1401 () (or @t1400 @t1399)) % 27.45/27.81 (define @t1402 () (= @t977 @t1372)) % 27.45/27.81 (define @t1403 () (and @t1398 @t1402)) % 27.45/27.81 (define @t1404 () (or @t1400 @t1403)) % 27.45/27.81 (define @t1405 () (tptp.r4 @t299 @t230 @t341)) % 27.45/27.81 (define @t1406 () (not @t1405)) % 27.45/27.81 (define @t1407 () (forall @t58 (or (not (forall @t344 (or @t1406 (and @t1405 @t342)))) (not (tptp.r4 @t299 @t230 @t45))))) % 27.45/27.81 (define @t1408 () (@quantifiers_skolemize @t1407 0)) % 27.45/27.81 (define @t1409 () (not (tptp.r4 @t299 @t230 @t1408))) % 27.45/27.81 (define @t1410 () (forall @t344 (or @t1406 (and @t1405 (= @t341 @t1408))))) % 27.45/27.81 (define @t1411 () (not @t1410)) % 27.45/27.81 (define @t1412 () (or @t1411 @t1409)) % 27.45/27.81 (define @t1413 () (not @t1412)) % 27.45/27.81 (define @t1414 () (not @t1407)) % 27.45/27.81 (define @t1415 () (and @t1405 (= @t1408 @t341))) % 27.45/27.81 (define @t1416 () (or @t1406 @t1415)) % 27.45/27.81 (define @t1417 () (forall @t344 @t1416)) % 27.45/27.81 (define @t1418 () (not @t1417)) % 27.45/27.81 (define @t1419 () (or @t1418 @t1409)) % 27.45/27.81 (define @t1420 () (not @t1419)) % 27.45/27.81 (define @t1421 () (and @t1384 (= @t1383 @t1408))) % 27.45/27.81 (define @t1422 () (or @t1385 @t1421)) % 27.45/27.81 (define @t1423 () (= @t1408 @t1383)) % 27.45/27.81 (define @t1424 () (and @t1384 @t1423)) % 27.45/27.81 (define @t1425 () (or @t1385 @t1424)) % 27.45/27.81 (define @t1426 () (@list @t1410)) % 27.45/27.81 (define @t1427 () (@var "BOUND_VARIABLE_8101" $$unsorted)) % 27.45/27.81 (define @t1428 () (not (tptp.r1 @t1427))) % 27.45/27.81 (define @t1429 () (tptp.r1 @t129)) % 27.45/27.81 (define @t1430 () (not @t1429)) % 27.45/27.81 (define @t1431 () (@list @t129 @t1427)) % 27.45/27.81 (define @t1432 () (forall @t1431 (or @t1430 @t1428 (not (tptp.r4 @t299 @t1427 @t129))))) % 27.45/27.81 (define @t1433 () (@quantifiers_skolemize @t1432 0)) % 27.45/27.81 (define @t1434 () (tptp.r4 @t299 @t230 @t1433)) % 27.45/27.81 (define @t1435 () (and @t1434 (= @t1433 @t1408))) % 27.45/27.81 (define @t1436 () (not @t1434)) % 27.45/27.81 (define @t1437 () (or @t1436 @t1435)) % 27.45/27.81 (define @t1438 () (@list @t1433)) % 27.45/27.81 (define @t1439 () (= @t1408 @t1433)) % 27.45/27.81 (define @t1440 () (and @t1434 @t1439)) % 27.45/27.81 (define @t1441 () (or @t1436 @t1440)) % 27.45/27.81 (define @t1442 () (not (tptp.r4 @t136 @t1427 @t129))) % 27.45/27.81 (define @t1443 () (or @t1428 @t1442)) % 27.45/27.81 (define @t1444 () (or @t1443 @t1430)) % 27.45/27.81 (define @t1445 () (forall @t1431 @t1444)) % 27.45/27.81 (define @t1446 () (@list @t1427)) % 27.45/27.81 (define @t1447 () (forall @t1446 @t1444)) % 27.45/27.81 (define @t1448 () (forall @t1446 @t1443)) % 27.45/27.81 (define @t1449 () (or @t1448 @t1430)) % 27.45/27.81 (define @t1450 () (forall @t140 (or (not @t138) (not @t137)))) % 27.45/27.81 (define @t1451 () (not @t1450)) % 27.45/27.81 (define @t1452 () (and @t1451 @t1429)) % 27.45/27.81 (define @t1453 () (forall @t143 (not @t1452))) % 27.45/27.81 (define @t1454 () (not @t1453)) % 27.45/27.81 (define @t1455 () (not (= @t129 @t129))) % 27.45/27.81 (define @t1456 () (or @t1430 @t1455)) % 27.45/27.81 (define @t1457 () (not @t130)) % 27.45/27.81 (define @t1458 () (not @t131)) % 27.45/27.81 (define @t1459 () (or @t1457 @t1458 @t1457)) % 27.45/27.81 (define @t1460 () (or @t1458 @t1457)) % 27.45/27.81 (define @t1461 () (forall @t133 (not @t132))) % 27.45/27.81 (define @t1462 () (not @t1461)) % 27.45/27.81 (define @t1463 () (forall @t140 (not @t139))) % 27.45/27.81 (define @t1464 () (not @t1463)) % 27.45/27.81 (define @t1465 () (@quantifiers_skolemize @t1432 1)) % 27.45/27.81 (define @t1466 () (tptp.r4 @t299 @t1465 @t1433)) % 27.45/27.81 (define @t1467 () (not @t1466)) % 27.45/27.81 (define @t1468 () (tptp.r1 @t1465)) % 27.45/27.81 (define @t1469 () (not @t1468)) % 27.45/27.81 (define @t1470 () (tptp.r1 @t1433)) % 27.45/27.81 (define @t1471 () (not @t1470)) % 27.45/27.81 (define @t1472 () (or @t1471 @t1469 @t1467)) % 27.45/27.81 (define @t1473 () (@list @t1472)) % 27.45/27.81 (define @t1474 () (and @t1468 (= @t1465 @t230))) % 27.45/27.81 (define @t1475 () (or @t1469 @t1474)) % 27.45/27.81 (define @t1476 () (= @t230 @t1465)) % 27.45/27.81 (define @t1477 () (and @t1468 @t1476)) % 27.45/27.81 (define @t1478 () (or @t1469 @t1477)) % 27.45/27.81 (define @t1479 () (and @t1470 (= @t1433 @t230))) % 27.45/27.81 (define @t1480 () (or @t1471 @t1479)) % 27.45/27.81 (define @t1481 () (= @t230 @t1433)) % 27.45/27.81 (define @t1482 () (and @t1470 @t1481)) % 27.45/27.81 (define @t1483 () (or @t1471 @t1482)) % 27.45/27.81 (define @t1484 () (tptp.r4 @t299 @t299 @t1277)) % 27.45/27.81 (define @t1485 () (and @t1484 (= @t1277 @t375))) % 27.45/27.81 (define @t1486 () (not @t1484)) % 27.45/27.81 (define @t1487 () (or @t1486 @t1485)) % 27.45/27.81 (define @t1488 () (= @t375 @t1277)) % 27.45/27.81 (define @t1489 () (and @t1484 @t1488)) % 27.45/27.81 (define @t1490 () (or @t1486 @t1489)) % 27.45/27.81 (define @t1491 () (and @t1345 (= @t1342 @t299))) % 27.45/27.81 (define @t1492 () (or @t1346 @t1491)) % 27.45/27.81 (define @t1493 () (= @t299 @t1342)) % 27.45/27.81 (define @t1494 () (and @t1345 @t1493)) % 27.45/27.81 (define @t1495 () (or @t1346 @t1494)) % 27.45/27.81 (define @t1496 () (and @t883 (= @t875 @t326))) % 27.45/27.81 (define @t1497 () (or @t884 @t1496)) % 27.45/27.81 (define @t1498 () (= @t326 @t875)) % 27.45/27.81 (define @t1499 () (and @t883 @t1498)) % 27.45/27.81 (define @t1500 () (or @t884 @t1499)) % 27.45/27.81 (define @t1501 () (tptp.r3 @t230 @t326 @t375)) % 27.45/27.81 (define @t1502 () (tptp.r3 @t299 @t299 @t375)) % 27.45/27.81 (define @t1503 () (not @t1501)) % 27.45/27.81 (define @t1504 () (not @t1502)) % 27.45/27.81 (define @t1505 () (or @t1504 @t377 @t301 @t232 @t282 @t1503 @t328 @t965 @t301 @t232 @t282)) % 27.45/27.81 (assume @p1 @t13) % 27.45/27.81 (assume @p2 @t28) % 27.45/27.81 (assume @p3 @t44) % 27.45/27.81 (assume @p4 @t60) % 27.45/27.81 (assume @p5 @t84) % 27.45/27.81 (assume @p6 @t108) % 27.45/27.81 (assume @p7 (forall (@list @t110 @t109) (or (forall @t114 (or (forall @t113 (or (not (tptp.r2 @t110 @t112)) (not (= @t112 @t111)))) (not (tptp.r2 @t109 @t111)))) (= @t110 @t109)))) % 27.45/27.81 (assume @p8 @t127) % 27.45/27.81 (assume @p9 @t145) % 27.45/27.81 (assume @p10 (forall (@list @t147) (or (exists (@list @t149) (and (tptp.r1 @t149) (= @t147 @t149))) (exists (@list @t148 @t146) (and (tptp.r2 @t148 @t146) (= @t147 @t146)))))) % 27.45/27.81 (assume @p11 (forall (@list @t151 @t150) (or (forall (@list @t152) (or (not (tptp.r1 @t152)) (not (= @t152 @t150)))) (not (tptp.r2 @t151 @t150))))) % 27.45/27.81 (assume @p12 @t198) % 27.45/27.81 (assume @p13 true) % 27.45/27.81 (step @p14 :rule bool-and-de-morgan :args (@t203 @t204 true)) % 27.45/27.81 (step @p15 :rule cong :premises (@p14) :args (@t206)) % 27.45/27.81 (step @p16 :rule cong :premises (@p15) :args (@t207)) % 27.45/27.81 (step @p17 :rule exists-elim :args ((= (exists @t12 @t205) @t207))) % 27.45/27.81 (step @p18 :rule trans :premises (@p17 @p16)) % 27.45/27.81 (step @p19 :rule aci_norm :args ((= (or false @t204) @t204))) % 27.45/27.81 (step @p20 :rule aci_norm :args ((= (and @t204 true) @t204))) % 27.45/27.81 (step @p21 :rule eq-refl :args (@t1)) % 27.45/27.81 (step @p22 :rule refl :args (@t204)) % 27.45/27.81 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t209)) % 27.45/27.81 (step @p24 :rule trans :premises (@p23 @p20)) % 27.45/27.81 (step @p25 :rule evaluate :args ((not true))) % 27.45/27.81 (step @p26 :rule cong :premises (@p21) :args (@t210)) % 27.45/27.81 (step @p27 :rule trans :premises (@p26 @p25)) % 27.45/27.81 (step @p28 :rule nary_cong :premises (@p27 @p24) :args (@t211)) % 27.45/27.81 (step @p29 :rule trans :premises (@p28 @p19)) % 27.45/27.81 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t216 (or (not (= @t212 @t1)) @t215 @t214)) @t211))) % 27.45/27.81 (step @p31 :rule refl :args (@t214)) % 27.45/27.81 (step @p32 :rule refl :args (@t215)) % 27.45/27.81 (step @p33 :rule eq-symm :args (@t1 @t212)) % 27.45/27.81 (step @p34 :rule cong :premises (@p33) :args (@t215)) % 27.45/27.81 (step @p35 :rule nary_cong :premises (@p34 @p32 @p31) :args (@t217)) % 27.45/27.81 (step @p36 :rule aci_norm :args ((= @t218 @t217))) % 27.45/27.81 (step @p37 :rule trans :premises (@p36 @p35)) % 27.45/27.81 (step @p38 :rule cong :premises (@p37) :args (@t219)) % 27.45/27.81 (step @p39 :rule trans :premises (@p38 @p30)) % 27.45/27.81 (step @p40 :rule trans :premises (@p39 @p29)) % 27.45/27.81 (step @p41 :rule refl :args (@t203)) % 27.45/27.81 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((and @t203 @t219))) % 27.45/27.81 (step @p43 :rule alpha_equiv :args (@t224 @t225 (@list @t212))) % 27.45/27.81 (step @p44 :rule alpha_equiv :args (@t227 @t225 (@list @t199))) % 27.45/27.81 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t228)) % 27.45/27.81 (step @p46 :rule quant-miniscope-and :args ((= (forall @t10 (and @t226 @t223)) @t228))) % 27.45/27.81 (step @p47 :rule trans :premises (@p46 @p45)) % 27.45/27.81 (step @p48 :rule trans :premises (@p47 @p42)) % 27.45/27.81 (step @p49 :rule bool-or-and-distrib :args (@t7 @t222 true @t221 false)) % 27.45/27.81 (step @p50 :rule cong :premises (@p49) :args ((forall @t10 (or (and @t7 @t222) @t221)))) % 27.45/27.81 (step @p51 :rule trans :premises (@p50 @p48)) % 27.45/27.81 (step @p52 :rule eq-symm :args (@t2 @t1)) % 27.45/27.81 (step @p53 :rule refl :args (@t4)) % 27.45/27.81 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t5)) % 27.45/27.81 (step @p55 :rule cong :premises (@p52) :args (@t6)) % 27.45/27.81 (step @p56 :rule refl :args (@t7)) % 27.45/27.81 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t8)) % 27.45/27.81 (step @p58 :rule nary_cong :premises (@p57 @p54) :args (@t9)) % 27.45/27.81 (step @p59 :rule cong :premises (@p58) :args (@t11)) % 27.45/27.81 (step @p60 :rule trans :premises (@p59 @p51)) % 27.45/27.81 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 27.45/27.81 (step @p62 :rule trans :premises (@p61 @p18)) % 27.45/27.81 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 27.45/27.81 (step @p64 :rule refl :args (@t236)) % 27.45/27.81 (step @p65 :rule bool-double-not-elim :args (@t229)) % 27.45/27.81 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t237) @t236))) % 27.45/27.81 (step @p67 :rule refl :args (@t232)) % 27.45/27.81 (step @p68 :rule eq-symm :args (@t230 @t199)) % 27.45/27.81 (step @p69 :rule refl :args (@t200)) % 27.45/27.81 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t238)) % 27.45/27.81 (step @p71 :rule refl :args (@t201)) % 27.45/27.81 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t239)) % 27.45/27.81 (step @p73 :rule cong :premises (@p72) :args (@t240)) % 27.45/27.81 (step @p74 :rule cong :premises (@p73) :args (@t241)) % 27.45/27.81 (step @p75 :rule nary_cong :premises (@p74 @p67) :args (@t242)) % 27.45/27.81 (step @p76 :rule cong :premises (@p75) :args (@t243)) % 27.45/27.81 (step @p77 :rule refl :args (@t237)) % 27.45/27.81 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t237 @t243))) % 27.45/27.81 (assume-push @p2672 @t237) % 27.45/27.81 (step @p80 :rule skolemize :premises (@p63)) % 27.45/27.81 (step-pop @p2673 :rule scope :premises (@p80)) % 27.45/27.81 (step @p81 :rule process_scope :premises (@p2673) :args (@t243)) % 27.45/27.81 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 27.45/27.81 (step @p84 :rule implies_elim :premises (@p83)) % 27.45/27.81 (step @p85 :rule eq_resolve :premises (@p84 @p66)) % 27.45/27.81 (step @p86 :rule chain_m_resolution :premises (@p85 @p63) :args (@t236 @t244 (@list @t229))) % 27.45/27.81 (step @p87 :rule bool-double-not-elim :args (@t231)) % 27.45/27.81 (step @p88 :rule refl :args (@t235)) % 27.45/27.81 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t235 (not @t232)))) % 27.45/27.81 (step @p90 :rule cnf_or_neg :args (@t235 1)) % 27.45/27.81 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 27.45/27.81 (step @p92 :rule reordering :premises (@p91) :args ((or @t231 @t235))) % 27.45/27.81 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t231 @t244 @t245)) % 27.45/27.81 (step @p94 :rule bool-and-de-morgan :args (@t250 @t251 true)) % 27.45/27.81 (step @p95 :rule cong :premises (@p94) :args (@t253)) % 27.45/27.81 (step @p96 :rule cong :premises (@p95) :args (@t254)) % 27.45/27.81 (step @p97 :rule exists-elim :args ((= (exists @t26 @t252) @t254))) % 27.45/27.81 (step @p98 :rule trans :premises (@p97 @p96)) % 27.45/27.81 (step @p99 :rule aci_norm :args ((= (or false @t251) @t251))) % 27.45/27.81 (step @p100 :rule aci_norm :args ((= (and @t251 true) @t251))) % 27.45/27.81 (step @p101 :rule eq-refl :args (@t14)) % 27.45/27.81 (step @p102 :rule refl :args (@t251)) % 27.45/27.81 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t256)) % 27.45/27.81 (step @p104 :rule trans :premises (@p103 @p100)) % 27.45/27.81 (step @p105 :rule cong :premises (@p101) :args (@t257)) % 27.45/27.81 (step @p106 :rule trans :premises (@p105 @p25)) % 27.45/27.81 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t258)) % 27.45/27.81 (step @p108 :rule trans :premises (@p107 @p99)) % 27.45/27.81 (step @p109 :rule quant-var-elim-eq :args ((= (forall @t263 (or (not (= @t259 @t14)) @t262 @t261)) @t258))) % 27.45/27.81 (step @p110 :rule refl :args (@t261)) % 27.45/27.81 (step @p111 :rule refl :args (@t262)) % 27.45/27.81 (step @p112 :rule eq-symm :args (@t14 @t259)) % 27.45/27.81 (step @p113 :rule cong :premises (@p112) :args (@t262)) % 27.45/27.81 (step @p114 :rule nary_cong :premises (@p113 @p111 @p110) :args (@t264)) % 27.45/27.81 (step @p115 :rule aci_norm :args ((= @t265 @t264))) % 27.45/27.81 (step @p116 :rule trans :premises (@p115 @p114)) % 27.45/27.81 (step @p117 :rule cong :premises (@p116) :args (@t266)) % 27.45/27.81 (step @p118 :rule trans :premises (@p117 @p109)) % 27.45/27.81 (step @p119 :rule trans :premises (@p118 @p108)) % 27.45/27.81 (step @p120 :rule refl :args (@t250)) % 27.45/27.81 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((and @t250 @t266))) % 27.45/27.81 (step @p122 :rule alpha_equiv :args (@t271 @t272 (@list @t259))) % 27.45/27.81 (step @p123 :rule alpha_equiv :args (@t274 @t272 (@list @t246))) % 27.45/27.81 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t275)) % 27.45/27.81 (step @p125 :rule quant-miniscope-and :args ((= (forall @t24 (and @t273 @t270)) @t275))) % 27.45/27.81 (step @p126 :rule trans :premises (@p125 @p124)) % 27.45/27.81 (step @p127 :rule trans :premises (@p126 @p121)) % 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27.45/27.81 (step @p142 :rule cong :premises (@p141) :args (@t28)) % 27.45/27.81 (step @p143 :rule eq_resolve :premises (@p2 @p142)) % 27.45/27.81 (step @p144 :rule instantiate :premises (@p143) :args (@t276)) % 27.45/27.81 (step @p145 :rule refl :args (@t286)) % 27.45/27.81 (step @p146 :rule bool-double-not-elim :args (@t279)) % 27.45/27.81 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t287) @t286))) % 27.45/27.81 (step @p148 :rule refl :args (@t282)) % 27.45/27.81 (step @p149 :rule eq-symm :args (@t280 @t246)) % 27.45/27.81 (step @p150 :rule refl :args (@t277)) % 27.45/27.81 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t288)) % 27.45/27.81 (step @p152 :rule refl :args (@t278)) % 27.45/27.81 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t289)) % 27.45/27.81 (step @p154 :rule cong :premises (@p153) :args (@t290)) % 27.45/27.81 (step @p155 :rule cong :premises (@p154) :args (@t291)) % 27.45/27.81 (step @p156 :rule nary_cong :premises (@p155 @p148) :args (@t292)) % 27.45/27.81 (step @p157 :rule cong :premises (@p156) :args (@t293)) % 27.45/27.81 (step @p158 :rule refl :args (@t287)) % 27.45/27.81 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t287 @t293))) % 27.45/27.81 (assume-push @p2674 @t287) % 27.45/27.81 (step @p161 :rule skolemize :premises (@p144)) % 27.45/27.81 (step-pop @p2675 :rule scope :premises (@p161)) % 27.45/27.81 (step @p162 :rule process_scope :premises (@p2675) :args (@t293)) % 27.45/27.81 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 27.45/27.81 (step @p165 :rule implies_elim :premises (@p164)) % 27.45/27.81 (step @p166 :rule eq_resolve :premises (@p165 @p147)) % 27.45/27.81 (step @p167 :rule chain_m_resolution :premises (@p166 @p144) :args (@t286 @t244 (@list @t279))) % 27.45/27.81 (step @p168 :rule bool-double-not-elim :args (@t281)) % 27.45/27.81 (step @p169 :rule refl :args (@t285)) % 27.45/27.81 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t285 (not 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% 27.45/27.81 (step @p185 :rule cong :premises (@p184) :args (@t309)) % 27.45/27.81 (step @p186 :rule cong :premises (@p185) :args (@t310)) % 27.45/27.81 (step @p187 :rule nary_cong :premises (@p186 @p179) :args (@t311)) % 27.45/27.81 (step @p188 :rule cong :premises (@p187) :args (@t312)) % 27.45/27.81 (step @p189 :rule refl :args (@t306)) % 27.45/27.81 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t306 @t312))) % 27.45/27.81 (assume-push @p2676 @t306) % 27.45/27.81 (step @p192 :rule skolemize :premises (@p175)) % 27.45/27.81 (step-pop @p2677 :rule scope :premises (@p192)) % 27.45/27.81 (step @p193 :rule process_scope :premises (@p2677) :args (@t312)) % 27.45/27.81 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 27.45/27.81 (step @p196 :rule implies_elim :premises (@p195)) % 27.45/27.81 (step @p197 :rule eq_resolve :premises (@p196 @p178)) % 27.45/27.81 (step @p198 :rule chain_m_resolution :premises (@p197 @p175) :args (@t305 @t244 (@list @t298))) % 27.45/27.81 (step @p199 :rule bool-double-not-elim :args (@t300)) % 27.45/27.81 (step @p200 :rule refl :args (@t304)) % 27.45/27.81 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t304 (not @t301)))) % 27.45/27.81 (step @p202 :rule cnf_or_neg :args (@t304 1)) % 27.45/27.81 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 27.45/27.81 (step @p204 :rule reordering :premises (@p203) :args ((or @t300 @t304))) % 27.45/27.81 (step @p205 :rule chain_m_resolution :premises (@p204 @p198) :args (@t300 @t244 @t313)) % 27.45/27.81 (step @p206 :rule instantiate :premises (@p143) :args (@t322)) % 27.45/27.81 (step @p207 :rule refl :args (@t332)) % 27.45/27.81 (step @p208 :rule bool-double-not-elim :args (@t325)) % 27.45/27.81 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or (not @t333) @t332))) % 27.45/27.81 (step @p210 :rule refl :args (@t328)) % 27.45/27.81 (step @p211 :rule eq-symm :args (@t326 @t246)) % 27.45/27.81 (step @p212 :rule refl :args (@t323)) % 27.45/27.81 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t334)) % 27.45/27.81 (step @p214 :rule refl :args (@t324)) % 27.45/27.81 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t335)) % 27.45/27.81 (step @p216 :rule cong :premises (@p215) :args (@t336)) % 27.45/27.81 (step @p217 :rule cong :premises (@p216) :args (@t337)) % 27.45/27.81 (step @p218 :rule nary_cong :premises (@p217 @p210) :args (@t338)) % 27.45/27.81 (step @p219 :rule cong :premises (@p218) :args (@t339)) % 27.45/27.81 (step @p220 :rule refl :args (@t333)) % 27.45/27.81 (step @p221 :rule cong :premises (@p220 @p219) :args ((=> @t333 @t339))) % 27.45/27.81 (assume-push @p2678 @t333) % 27.45/27.81 (step @p223 :rule skolemize :premises (@p206)) % 27.45/27.81 (step-pop @p2679 :rule scope :premises (@p223)) % 27.45/27.81 (step @p224 :rule process_scope :premises (@p2679) :args (@t339)) % 27.45/27.81 (step @p226 :rule eq_resolve :premises (@p224 @p221)) % 27.45/27.81 (step @p227 :rule implies_elim :premises (@p226)) % 27.45/27.81 (step @p228 :rule eq_resolve :premises (@p227 @p209)) % 27.45/27.81 (step @p229 :rule chain_m_resolution :premises (@p228 @p206) :args (@t332 @t244 (@list @t325))) % 27.45/27.81 (step @p230 :rule bool-double-not-elim :args (@t327)) % 27.45/27.81 (step @p231 :rule refl :args (@t331)) % 27.45/27.81 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t331 (not @t328)))) % 27.45/27.81 (step @p233 :rule cnf_or_neg :args (@t331 1)) % 27.45/27.81 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 27.45/27.81 (step @p235 :rule reordering :premises (@p234) :args ((or @t327 @t331))) % 27.45/27.81 (step @p236 :rule chain_m_resolution :premises (@p235 @p229) :args (@t327 @t244 @t340)) % 27.45/27.81 (step @p237 :rule bool-and-de-morgan :args (@t345 @t346 true)) % 27.45/27.81 (step @p238 :rule cong :premises (@p237) :args (@t348)) % 27.45/27.81 (step @p239 :rule cong :premises (@p238) :args (@t349)) % 27.45/27.81 (step @p240 :rule exists-elim :args ((= (exists @t58 @t347) @t349))) % 27.45/27.81 (step @p241 :rule trans :premises (@p240 @p239)) % 27.45/27.81 (step @p242 :rule aci_norm :args ((= (or false @t346) @t346))) % 27.45/27.81 (step @p243 :rule aci_norm :args ((= (and @t346 true) @t346))) % 27.45/27.81 (step @p244 :rule eq-refl :args (@t45)) % 27.45/27.81 (step @p245 :rule refl :args (@t346)) % 27.45/27.81 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t351)) % 27.45/27.81 (step @p247 :rule trans :premises (@p246 @p243)) % 27.45/27.81 (step @p248 :rule cong :premises (@p244) :args (@t352)) % 27.45/27.81 (step @p249 :rule trans :premises (@p248 @p25)) % 27.45/27.81 (step @p250 :rule nary_cong :premises (@p249 @p247) :args (@t353)) % 27.45/27.81 (step @p251 :rule trans :premises (@p250 @p242)) % 27.45/27.81 (step @p252 :rule quant-var-elim-eq :args ((= (forall @t358 (or (not (= @t354 @t45)) @t357 @t356)) @t353))) % 27.45/27.81 (step @p253 :rule refl :args (@t356)) % 27.45/27.81 (step @p254 :rule refl :args (@t357)) % 27.45/27.81 (step @p255 :rule eq-symm :args (@t45 @t354)) % 27.45/27.81 (step @p256 :rule cong :premises (@p255) :args (@t357)) % 27.45/27.81 (step @p257 :rule nary_cong :premises (@p256 @p254 @p253) :args (@t359)) % 27.45/27.81 (step @p258 :rule aci_norm :args ((= @t360 @t359))) % 27.45/27.81 (step @p259 :rule trans :premises (@p258 @p257)) % 27.45/27.81 (step @p260 :rule cong :premises (@p259) :args (@t361)) % 27.45/27.81 (step @p261 :rule trans :premises (@p260 @p252)) % 27.45/27.81 (step @p262 :rule trans :premises (@p261 @p251)) % 27.45/27.81 (step @p263 :rule refl :args (@t345)) % 27.45/27.81 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((and @t345 @t361))) % 27.45/27.81 (step @p265 :rule alpha_equiv :args (@t366 @t367 (@list @t354))) % 27.45/27.81 (step @p266 :rule alpha_equiv :args (@t369 @t367 (@list @t341))) % 27.45/27.81 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t370)) % 27.45/27.81 (step @p268 :rule quant-miniscope-and :args ((= (forall @t56 (and @t368 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(@p296) :args (@t385)) % 27.45/27.81 (step @p298 :rule cong :premises (@p297) :args (@t386)) % 27.45/27.81 (step @p299 :rule nary_cong :premises (@p298 @p291) :args (@t387)) % 27.45/27.81 (step @p300 :rule cong :premises (@p299) :args (@t388)) % 27.45/27.81 (step @p301 :rule refl :args (@t382)) % 27.45/27.81 (step @p302 :rule cong :premises (@p301 @p300) :args ((=> @t382 @t388))) % 27.45/27.81 (assume-push @p2680 @t382) % 27.45/27.81 (step @p304 :rule skolemize :premises (@p287)) % 27.45/27.81 (step-pop @p2681 :rule scope :premises (@p304)) % 27.45/27.81 (step @p305 :rule process_scope :premises (@p2681) :args (@t388)) % 27.45/27.81 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 27.45/27.81 (step @p308 :rule implies_elim :premises (@p307)) % 27.45/27.81 (step @p309 :rule eq_resolve :premises (@p308 @p290)) % 27.45/27.81 (step @p310 :rule chain_m_resolution :premises (@p309 @p287) :args (@t381 @t244 (@list @t374))) % 27.45/27.81 (step @p311 :rule bool-double-not-elim :args 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27.45/27.82 (step @p1421 :rule nary_cong :premises (@p1399 @p1420) :args ((or @t1010 (not @t1009)))) % 27.45/27.82 (step @p1422 :rule cnf_or_neg :args (@t1010 0)) % 27.45/27.82 (step @p1423 :rule eq_resolve :premises (@p1422 @p1421)) % 27.45/27.82 (step @p1424 :rule reordering :premises (@p1423) :args ((or @t1008 @t1010))) % 27.45/27.82 (step @p1425 :rule chain_m_resolution :premises (@p1424 @p1397) :args (@t1008 @t244 @t1011)) % 27.45/27.82 (step @p1426 :rule cnf_or_pos :args (@t1016)) % 27.45/27.82 (step @p1427 :rule reordering :premises (@p1426) :args ((or @t1009 @t1015 (not @t1016)))) % 27.45/27.82 (step @p1428 :rule chain_m_resolution :premises (@p1427 @p1425 @p1419) :args (@t1015 @t503 (@list @t1008 @t1016))) % 27.45/27.82 (step @p1429 :rule cnf_and_pos :args (@t1015 1)) % 27.45/27.82 (step @p1430 :rule reordering :premises (@p1429) :args ((or @t1014 (not @t1015)))) % 27.45/27.82 (step @p1431 :rule chain_m_resolution :premises (@p1430 @p1428) :args (@t1014 @t501 (@list @t1015))) % 27.45/27.82 (step @p1432 :rule cong :premises (@p1307 @p1431 @p1406) :args (@t1017)) % 27.45/27.82 (step @p1433 :rule trans :premises (@p1432 @p1405)) % 27.45/27.82 (step @p1434 :rule true_elim :premises (@p1433)) % 27.45/27.82 (step @p1435 :rule cnf_or_pos :args (@t1021)) % 27.45/27.82 (step @p1436 :rule reordering :premises (@p1435) :args ((or @t1020 @t1019 (not @t1021)))) % 27.45/27.82 (step @p1437 :rule chain_m_resolution :premises (@p1436 @p1434 @p1395) :args (@t1019 @t503 (@list @t1017 @t1021))) % 27.45/27.82 (step @p1438 :rule cnf_and_pos :args (@t1019 1)) % 27.45/27.82 (step @p1439 :rule reordering :premises (@p1438) :args ((or @t1018 (not @t1019)))) % 27.45/27.82 (step @p1440 :rule chain_m_resolution :premises (@p1439 @p1437) :args (@t1018 @t501 (@list @t1019))) % 27.45/27.82 (step @p1441 :rule eq-symm :args (@t997 @t299)) % 27.45/27.82 (step @p1442 :rule refl :args (@t1022)) % 27.45/27.82 (step @p1443 :rule nary_cong :premises (@p1442 @p1441) :args (@t1023)) % 27.45/27.82 (step @p1444 :rule refl :args (@t1024)) % 27.45/27.82 (step @p1445 :rule nary_cong :premises (@p1444 @p1443) :args (@t1025)) % 27.45/27.82 (step @p1446 :rule cong :premises (@p602 @p1445) :args ((=> @t302 @t1025))) % 27.45/27.82 (assume-push @p2718 @t302) % 27.45/27.82 (step @p1448 :rule instantiate :premises (@p596) :args (@t998)) % 27.45/27.82 (step-pop @p2719 :rule scope :premises (@p1448)) % 27.45/27.82 (step @p1449 :rule process_scope :premises (@p2719) :args (@t1025)) % 27.45/27.82 (step @p1451 :rule eq_resolve :premises (@p1449 @p1446)) % 27.45/27.82 (step @p1452 :rule implies_elim :premises (@p1451)) % 27.45/27.82 (step @p1453 :rule chain_m_resolution :premises (@p1452 @p596) :args (@t1028 @t501 @t541)) % 27.45/27.82 (step @p1454 :rule bool-double-not-elim :args (@t1005)) % 27.45/27.82 (step @p1455 :rule nary_cong :premises (@p1399 @p1454) :args ((or @t1010 (not @t1006)))) % 27.45/27.82 (step @p1456 :rule cnf_or_neg :args (@t1010 2)) % 27.45/27.82 (step @p1457 :rule eq_resolve :premises (@p1456 @p1455)) % 27.45/27.82 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t1005 @t1010))) % 27.45/27.82 (step @p1459 :rule chain_m_resolution :premises (@p1458 @p1397) :args (@t1005 @t244 @t1011)) % 27.45/27.82 (step @p1460 :rule true_intro :premises (@p1459)) % 27.45/27.82 (step @p1461 :rule instantiate :premises (@p466) :args (@t999)) % 27.45/27.82 (step @p1462 :rule refl :args (@t1037)) % 27.45/27.82 (step @p1463 :rule bool-double-not-elim :args (@t1031)) % 27.45/27.82 (step @p1464 :rule nary_cong :premises (@p1463 @p1462) :args ((or (not @t1038) @t1037))) % 27.45/27.82 (step @p1465 :rule refl :args (@t1033)) % 27.45/27.82 (step @p1466 :rule eq-symm :args (@t1032 @t450)) % 27.45/27.82 (step @p1467 :rule refl :args (@t1029)) % 27.45/27.82 (step @p1468 :rule nary_cong :premises (@p1467 @p1466) :args (@t1039)) % 27.45/27.82 (step @p1469 :rule refl :args (@t1030)) % 27.45/27.82 (step @p1470 :rule nary_cong :premises (@p1469 @p1468) :args (@t1040)) % 27.45/27.82 (step @p1471 :rule cong :premises (@p1470) :args (@t1041)) % 27.45/27.82 (step @p1472 :rule cong :premises (@p1471) :args (@t1042)) % 27.45/27.82 (step @p1473 :rule nary_cong :premises (@p1472 @p1465) :args (@t1043)) % 27.45/27.82 (step @p1474 :rule cong :premises (@p1473) :args (@t1044)) % 27.45/27.82 (step @p1475 :rule refl :args (@t1038)) % 27.45/27.82 (step @p1476 :rule cong :premises (@p1475 @p1474) :args ((=> @t1038 @t1044))) % 27.45/27.82 (assume-push @p2720 @t1038) % 27.45/27.82 (step @p1478 :rule skolemize :premises (@p1461)) % 27.45/27.82 (step-pop @p2721 :rule scope :premises (@p1478)) % 27.45/27.82 (step @p1479 :rule process_scope :premises (@p2721) :args (@t1044)) % 27.45/27.82 (step @p1481 :rule eq_resolve :premises (@p1479 @p1476)) % 27.45/27.82 (step @p1482 :rule implies_elim :premises (@p1481)) % 27.45/27.82 (step @p1483 :rule eq_resolve :premises (@p1482 @p1464)) % 27.45/27.82 (step @p1484 :rule chain_m_resolution :premises (@p1483 @p1461) :args (@t1037 @t244 (@list @t1031))) % 27.45/27.82 (step @p1485 :rule bool-double-not-elim :args (@t1034)) % 27.45/27.82 (step @p1486 :rule refl :args (@t1036)) % 27.45/27.82 (step @p1487 :rule nary_cong :premises (@p1486 @p1485) :args ((or @t1036 (not @t1035)))) % 27.45/27.82 (step @p1488 :rule cnf_or_neg :args (@t1036 0)) % 27.45/27.82 (step @p1489 :rule eq_resolve :premises (@p1488 @p1487)) % 27.45/27.82 (step @p1490 :rule reordering :premises (@p1489) :args ((or @t1034 @t1036))) % 27.45/27.82 (step @p1491 :rule chain_m_resolution :premises (@p1490 @p1484) :args (@t1034 @t244 (@list @t1036))) % 27.45/27.82 (step @p1492 :rule eq-symm :args (@t1002 @t1032)) % 27.45/27.82 (step @p1493 :rule refl :args (@t1003)) % 27.45/27.82 (step @p1494 :rule nary_cong :premises (@p1493 @p1492) :args (@t1045)) % 27.45/27.82 (step @p1495 :rule refl :args (@t1004)) % 27.45/27.82 (step @p1496 :rule nary_cong :premises (@p1495 @p1494) :args (@t1046)) % 27.45/27.82 (step @p1497 :rule refl :args (@t1034)) % 27.45/27.82 (step @p1498 :rule cong :premises (@p1497 @p1496) :args ((=> @t1034 @t1046))) % 27.45/27.82 (assume-push @p2722 @t1034) % 27.45/27.82 (step @p1500 :rule instantiate :premises (@p1491) :args ((@list @t1002))) % 27.45/27.82 (step-pop @p2723 :rule scope :premises (@p1500)) % 27.45/27.82 (step @p1501 :rule process_scope :premises (@p2723) :args (@t1046)) % 27.45/27.82 (step @p1503 :rule eq_resolve :premises (@p1501 @p1498)) % 27.45/27.82 (step @p1504 :rule implies_elim :premises (@p1503)) % 27.45/27.82 (step @p1505 :rule chain_m_resolution :premises (@p1504 @p1491) :args (@t1049 @t501 (@list @t1034))) % 27.45/27.82 (step @p1506 :rule bool-double-not-elim :args (@t1003)) % 27.45/27.82 (step @p1507 :rule nary_cong :premises (@p1399 @p1506) :args ((or @t1010 (not @t1004)))) % 27.45/27.82 (step @p1508 :rule cnf_or_neg :args (@t1010 3)) % 27.45/27.82 (step @p1509 :rule eq_resolve :premises (@p1508 @p1507)) % 27.45/27.82 (step @p1510 :rule reordering :premises (@p1509) :args ((or @t1003 @t1010))) % 27.45/27.82 (step @p1511 :rule chain_m_resolution :premises (@p1510 @p1397) :args (@t1003 @t244 @t1011)) % 27.45/27.82 (step @p1512 :rule cnf_or_pos :args (@t1049)) % 27.45/27.82 (step @p1513 :rule reordering :premises (@p1512) :args ((or @t1004 @t1048 (not @t1049)))) % 27.45/27.82 (step @p1514 :rule chain_m_resolution :premises (@p1513 @p1511 @p1505) :args (@t1048 @t503 (@list @t1003 @t1049))) % 27.45/27.82 (step @p1515 :rule cnf_and_pos :args (@t1048 1)) % 27.45/27.82 (step @p1516 :rule reordering :premises (@p1515) :args ((or @t1047 (not @t1048)))) % 27.45/27.82 (step @p1517 :rule chain_m_resolution :premises (@p1516 @p1514) :args (@t1047 @t501 (@list @t1048))) % 27.45/27.82 (step @p1518 :rule instantiate :premises (@p1491) :args (@t1052)) % 27.45/27.82 (step @p1519 :rule instantiate :premises (@p405) :args (@t1053)) % 27.45/27.82 (step @p1520 :rule skolemize :premises (@p1519)) % 27.45/27.82 (step @p1521 :rule bool-double-not-elim :args (@t1055)) % 27.45/27.82 (step @p1522 :rule refl :args (@t1064)) % 27.45/27.82 (step @p1523 :rule nary_cong :premises (@p1522 @p1521) :args ((or @t1064 (not @t1061)))) % 27.45/27.82 (step @p1524 :rule cnf_or_neg :args (@t1064 1)) % 27.45/27.82 (step @p1525 :rule eq_resolve :premises (@p1524 @p1523)) % 27.45/27.82 (step @p1526 :rule reordering :premises (@p1525) :args ((or @t1055 @t1064))) % 27.45/27.82 (step @p1527 :rule chain_m_resolution :premises (@p1526 @p1520) :args (@t1055 @t244 @t1065)) % 27.45/27.82 (step @p1528 :rule true_intro :premises (@p1527)) % 27.45/27.82 (step @p1529 :rule refl :args (@t1051)) % 27.45/27.82 (step @p1530 :rule eq-symm :args (@t1054 @t280)) % 27.45/27.82 (step @p1531 :rule refl :args (@t1062)) % 27.45/27.82 (step @p1532 :rule nary_cong :premises (@p1531 @p1530) :args (@t1066)) % 27.45/27.82 (step @p1533 :rule refl :args (@t1063)) % 27.45/27.82 (step @p1534 :rule nary_cong :premises (@p1533 @p1532) :args (@t1067)) % 27.45/27.82 (step @p1535 :rule cong :premises (@p559 @p1534) :args ((=> @t283 @t1067))) % 27.45/27.82 (assume-push @p2724 @t283) % 27.45/27.82 (step @p1537 :rule instantiate :premises (@p553) :args ((@list @t1054))) % 27.45/27.82 (step-pop @p2725 :rule scope :premises (@p1537)) % 27.45/27.82 (step @p1538 :rule process_scope :premises (@p2725) :args (@t1067)) % 27.45/27.82 (step @p1540 :rule eq_resolve :premises (@p1538 @p1535)) % 27.45/27.82 (step @p1541 :rule implies_elim :premises (@p1540)) % 27.45/27.82 (step @p1542 :rule chain_m_resolution :premises (@p1541 @p553) :args (@t1070 @t501 @t533)) % 27.45/27.82 (step @p1543 :rule bool-double-not-elim :args (@t1062)) % 27.45/27.82 (step @p1544 :rule nary_cong :premises (@p1522 @p1543) :args ((or @t1064 (not @t1063)))) % 27.45/27.82 (step @p1545 :rule cnf_or_neg :args (@t1064 0)) % 27.45/27.82 (step @p1546 :rule eq_resolve :premises (@p1545 @p1544)) % 27.45/27.82 (step @p1547 :rule reordering :premises (@p1546) :args ((or @t1062 @t1064))) % 27.45/27.82 (step @p1548 :rule chain_m_resolution :premises (@p1547 @p1520) :args (@t1062 @t244 @t1065)) % 27.45/27.82 (step @p1549 :rule cnf_or_pos :args (@t1070)) % 27.45/27.82 (step @p1550 :rule reordering :premises (@p1549) :args ((or @t1063 @t1069 (not @t1070)))) % 27.45/27.82 (step @p1551 :rule chain_m_resolution :premises (@p1550 @p1548 @p1542) :args (@t1069 @t503 (@list @t1062 @t1070))) % 27.45/27.82 (step @p1552 :rule cnf_and_pos :args (@t1069 1)) % 27.45/27.82 (step @p1553 :rule reordering :premises (@p1552) :args ((or @t1068 (not @t1069)))) % 27.45/27.82 (step @p1554 :rule chain_m_resolution :premises (@p1553 @p1551) :args (@t1068 @t501 (@list @t1069))) % 27.45/27.82 (step @p1555 :rule cong :premises (@p1307 @p1554 @p1529) :args (@t1071)) % 27.45/27.82 (step @p1556 :rule trans :premises (@p1555 @p1528)) % 27.45/27.82 (step @p1557 :rule true_elim :premises (@p1556)) % 27.45/27.82 (step @p1558 :rule cnf_or_pos :args (@t1075)) % 27.45/27.82 (step @p1559 :rule reordering :premises (@p1558) :args ((or @t1074 @t1073 (not @t1075)))) % 27.45/27.82 (step @p1560 :rule chain_m_resolution :premises (@p1559 @p1557 @p1518) :args (@t1073 @t503 (@list @t1071 @t1075))) % 27.45/27.82 (step @p1561 :rule cnf_and_pos :args (@t1073 1)) % 27.45/27.82 (step @p1562 :rule reordering :premises (@p1561) :args ((or @t1072 (not @t1073)))) % 27.45/27.82 (step @p1563 :rule chain_m_resolution :premises (@p1562 @p1560) :args (@t1072 @t501 (@list @t1073))) % 27.45/27.82 (step @p1564 :rule eq-symm :args (@t1051 @t280)) % 27.45/27.82 (step @p1565 :rule refl :args (@t1076)) % 27.45/27.82 (step @p1566 :rule nary_cong :premises (@p1565 @p1564) :args (@t1077)) % 27.45/27.82 (step @p1567 :rule refl :args (@t1078)) % 27.45/27.82 (step @p1568 :rule nary_cong :premises (@p1567 @p1566) :args (@t1079)) % 27.45/27.82 (step @p1569 :rule cong :premises (@p559 @p1568) :args ((=> @t283 @t1079))) % 27.45/27.82 (assume-push @p2726 @t283) % 27.45/27.82 (step @p1571 :rule instantiate :premises (@p553) :args (@t1052)) % 27.45/27.82 (step-pop @p2727 :rule scope :premises (@p1571)) % 27.45/27.82 (step @p1572 :rule process_scope :premises (@p2727) :args (@t1079)) % 27.45/27.82 (step @p1574 :rule eq_resolve :premises (@p1572 @p1569)) % 27.45/27.82 (step @p1575 :rule implies_elim :premises (@p1574)) % 27.45/27.82 (step @p1576 :rule chain_m_resolution :premises (@p1575 @p553) :args (@t1082 @t501 @t533)) % 27.45/27.82 (step @p1577 :rule bool-double-not-elim :args (@t1059)) % 27.45/27.82 (step @p1578 :rule nary_cong :premises (@p1522 @p1577) :args ((or @t1064 (not @t1060)))) % 27.45/27.82 (step @p1579 :rule cnf_or_neg :args (@t1064 2)) % 27.45/27.82 (step @p1580 :rule eq_resolve :premises (@p1579 @p1578)) % 27.45/27.82 (step @p1581 :rule reordering :premises (@p1580) :args ((or @t1059 @t1064))) % 27.45/27.82 (step @p1582 :rule chain_m_resolution :premises (@p1581 @p1520) :args (@t1059 @t244 @t1065)) % 27.45/27.82 (step @p1583 :rule true_intro :premises (@p1582)) % 27.45/27.82 (step @p1584 :rule instantiate :premises (@p466) :args (@t1053)) % 27.45/27.82 (step @p1585 :rule refl :args (@t1091)) % 27.45/27.82 (step @p1586 :rule bool-double-not-elim :args (@t1085)) % 27.45/27.82 (step @p1587 :rule nary_cong :premises (@p1586 @p1585) :args ((or (not @t1092) @t1091))) % 27.45/27.82 (step @p1588 :rule refl :args (@t1087)) % 27.45/27.82 (step @p1589 :rule eq-symm :args (@t1086 @t450)) % 27.45/27.82 (step @p1590 :rule refl :args (@t1083)) % 27.45/27.82 (step @p1591 :rule nary_cong :premises (@p1590 @p1589) :args (@t1093)) % 27.45/27.82 (step @p1592 :rule refl :args (@t1084)) % 27.45/27.82 (step @p1593 :rule nary_cong :premises (@p1592 @p1591) :args (@t1094)) % 27.45/27.82 (step @p1594 :rule cong :premises (@p1593) :args (@t1095)) % 27.45/27.82 (step @p1595 :rule cong :premises (@p1594) :args (@t1096)) % 27.45/27.82 (step @p1596 :rule nary_cong :premises (@p1595 @p1588) :args (@t1097)) % 27.45/27.82 (step @p1597 :rule cong :premises (@p1596) :args (@t1098)) % 27.45/27.82 (step @p1598 :rule refl :args (@t1092)) % 27.45/27.82 (step @p1599 :rule cong 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(step @p2344 :rule eq_resolve :premises (@p2343 @p2342)) % 27.45/27.82 (step @p2345 :rule reordering :premises (@p2344) :args ((or @t1386 @t1391))) % 27.45/27.82 (step @p2346 :rule chain_m_resolution :premises (@p2345 @p2283) :args (@t1386 @t244 @t1392)) % 27.45/27.82 (step @p2347 :rule true_intro :premises (@p2346)) % 27.45/27.82 (step @p2348 :rule instantiate :premises (@p286) :args (@t1177)) % 27.45/27.82 (step @p2349 :rule refl :args (@t1413)) % 27.45/27.82 (step @p2350 :rule bool-double-not-elim :args (@t1407)) % 27.45/27.82 (step @p2351 :rule nary_cong :premises (@p2350 @p2349) :args ((or (not @t1414) @t1413))) % 27.45/27.82 (step @p2352 :rule refl :args (@t1409)) % 27.45/27.82 (step @p2353 :rule eq-symm :args (@t1408 @t341)) % 27.45/27.82 (step @p2354 :rule refl :args (@t1405)) % 27.45/27.82 (step @p2355 :rule nary_cong :premises (@p2354 @p2353) :args (@t1415)) % 27.45/27.82 (step @p2356 :rule refl :args (@t1406)) % 27.45/27.82 (step @p2357 :rule nary_cong :premises (@p2356 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27.45/27.82 (step @p2626 :rule reordering :premises (@p2625) :args ((or @t1488 (not @t1489)))) % 27.45/27.82 (step @p2627 :rule chain_m_resolution :premises (@p2626 @p2624) :args (@t1488 @t501 (@list @t1489))) % 27.45/27.82 (step @p2628 :rule trans :premises (@p2627 @p2566 @p2099 @p2013 @p1728)) % 27.45/27.82 (step @p2629 :rule eq-symm :args (@t875 @t326)) % 27.45/27.82 (step @p2630 :rule refl :args (@t883)) % 27.45/27.82 (step @p2631 :rule nary_cong :premises (@p2630 @p2629) :args (@t1496)) % 27.45/27.82 (step @p2632 :rule refl :args (@t884)) % 27.45/27.82 (step @p2633 :rule nary_cong :premises (@p2632 @p2631) :args (@t1497)) % 27.45/27.82 (step @p2634 :rule cong :premises (@p1144 @p2633) :args ((=> @t329 @t1497))) % 27.45/27.82 (assume-push @p2784 @t329) % 27.45/27.82 (step @p2636 :rule instantiate :premises (@p1138) :args ((@list @t875))) % 27.45/27.82 (step-pop @p2785 :rule scope :premises (@p2636)) % 27.45/27.82 (step @p2637 :rule process_scope :premises (@p2785) :args (@t1497)) % 27.45/27.82 (step @p2639 :rule eq_resolve :premises (@p2637 @p2634)) % 27.45/27.82 (step @p2640 :rule implies_elim :premises (@p2639)) % 27.45/27.82 (step @p2641 :rule chain_m_resolution :premises (@p2640 @p1138) :args (@t1500 @t501 @t894)) % 27.45/27.82 (step @p2642 :rule bool-double-not-elim :args (@t883)) % 27.45/27.82 (step @p2643 :rule nary_cong :premises (@p1126 @p2642) :args ((or @t885 (not @t884)))) % 27.45/27.82 (step @p2644 :rule cnf_or_neg :args (@t885 0)) % 27.45/27.82 (step @p2645 :rule eq_resolve :premises (@p2644 @p2643)) % 27.45/27.82 (step @p2646 :rule reordering :premises (@p2645) :args ((or @t883 @t885))) % 27.45/27.82 (step @p2647 :rule chain_m_resolution :premises (@p2646 @p1124) :args (@t883 @t244 @t886)) % 27.45/27.82 (step @p2648 :rule cnf_or_pos :args (@t1500)) % 27.45/27.82 (step @p2649 :rule reordering :premises (@p2648) :args ((or @t884 @t1499 (not @t1500)))) % 27.45/27.82 (step @p2650 :rule chain_m_resolution :premises (@p2649 @p2647 @p2641) :args (@t1499 @t503 (@list @t883 @t1500))) % 27.45/27.82 (step @p2651 :rule cnf_and_pos :args (@t1499 1)) % 27.45/27.82 (step @p2652 :rule reordering :premises (@p2651) :args ((or @t1498 (not @t1499)))) % 27.45/27.82 (step @p2653 :rule chain_m_resolution :premises (@p2652 @p2650) :args (@t1498 @t501 (@list @t1499))) % 27.45/27.82 (step @p2654 :rule cong :premises (@p1307 @p2653 @p2628) :args (@t1501)) % 27.45/27.82 (step @p2655 :rule trans :premises (@p2654 @p1132)) % 27.45/27.82 (step @p2656 :rule true_elim :premises (@p2655)) % 27.45/27.82 (step @p2657 :rule bool-double-not-elim :args (@t1244)) % 27.45/27.82 (step @p2658 :rule nary_cong :premises (@p2039 @p2657) :args ((or @t1248 (not @t1245)))) % 27.45/27.82 (step @p2659 :rule cnf_or_neg :args (@t1248 1)) % 27.45/27.82 (step @p2660 :rule eq_resolve :premises (@p2659 @p2658)) % 27.45/27.82 (step @p2661 :rule reordering :premises (@p2660) :args ((or @t1244 @t1248))) % 27.45/27.82 (step @p2662 :rule chain_m_resolution :premises (@p2661 @p2037) :args (@t1244 @t244 @t1257)) % 27.45/27.82 (step @p2663 :rule true_intro :premises (@p2662)) % 27.45/27.82 (step @p2664 :rule trans :premises (@p2627 @p2566)) % 27.45/27.82 (step @p2665 :rule cong :premises (@p1859 @p1859 @p2664) :args (@t1502)) % 27.45/27.82 (step @p2666 :rule trans :premises (@p2665 @p2663)) % 27.45/27.82 (step @p2667 :rule true_elim :premises (@p2666)) % 27.45/27.82 (step @p2668 :rule cnf_or_pos :args (@t1505)) % 27.45/27.82 (step @p2669 :rule factoring :premises (@p2668)) % 27.45/27.82 (step @p2670 :rule reordering :premises (@p2669) :args ((or @t232 @t282 @t301 @t328 @t377 @t965 @t1504 @t1503 (not @t1505)))) % 27.45/27.82 (step @p2671 false :rule chain_m_resolution :premises (@p2670 @p2667 @p2656 @p1122 @p798 @p317 @p236 @p205 @p174 @p93) :args (false (@list false false false false false false false false false) (@list @t1502 @t1501 @t1505 @t609 @t376 @t327 @t300 @t281 @t231))) % 27.45/27.82 ) % 27.45/27.82 % SZS output end Proof % 27.45/27.82 % cvc5 exiting %------------------------------------------------------------------------------