%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN084+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:42:55 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN084+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:41:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "Y24" $$unsorted)) % 0.53/0.74 (define @t2 () (@var "X19" $$unsorted)) % 0.53/0.74 (define @t3 () (= @t2 @t1)) % 0.53/0.74 (define @t4 () (tptp.r1 @t2)) % 0.53/0.74 (define @t5 () (and @t4 @t3)) % 0.53/0.74 (define @t6 () (not @t3)) % 0.53/0.74 (define @t7 () (not @t4)) % 0.53/0.74 (define @t8 () (and @t7 @t6)) % 0.53/0.74 (define @t9 () (or @t8 @t5)) % 0.53/0.74 (define @t10 () (@list @t2)) % 0.53/0.74 (define @t11 () (forall @t10 @t9)) % 0.53/0.74 (define @t12 () (@list @t1)) % 0.53/0.74 (define @t13 () (exists @t12 @t11)) % 0.53/0.74 (define @t14 () (@var "Y21" $$unsorted)) % 0.53/0.74 (define @t15 () (@var "X12" $$unsorted)) % 0.53/0.74 (define @t16 () (= @t15 @t14)) % 0.53/0.74 (define @t17 () (@var "X11" $$unsorted)) % 0.53/0.74 (define @t18 () (tptp.r2 @t17 @t15)) % 0.53/0.74 (define @t19 () (and @t18 @t16)) % 0.53/0.74 (define @t20 () (not @t16)) % 0.53/0.74 (define @t21 () (not @t18)) % 0.53/0.74 (define @t22 () (and @t21 @t20)) % 0.53/0.74 (define @t23 () (or @t22 @t19)) % 0.53/0.74 (define @t24 () (@list @t15)) % 0.53/0.74 (define @t25 () (forall @t24 @t23)) % 0.53/0.74 (define @t26 () (@list @t14)) % 0.53/0.74 (define @t27 () (exists @t26 @t25)) % 0.53/0.74 (define @t28 () (forall (@list @t17) @t27)) % 0.53/0.74 (define @t29 () (@var "Y22" $$unsorted)) % 0.53/0.74 (define @t30 () (@var "X15" $$unsorted)) % 0.53/0.74 (define @t31 () (= @t30 @t29)) % 0.53/0.74 (define @t32 () (@var "X14" $$unsorted)) % 0.53/0.74 (define @t33 () (@var "X13" $$unsorted)) % 0.53/0.74 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.53/0.74 (define @t35 () (and @t34 @t31)) % 0.53/0.74 (define @t36 () (not @t31)) % 0.53/0.74 (define @t37 () (not @t34)) % 0.53/0.74 (define @t38 () (and @t37 @t36)) % 0.53/0.74 (define @t39 () (or @t38 @t35)) % 0.53/0.74 (define @t40 () (@list @t30)) % 0.53/0.74 (define @t41 () (forall @t40 @t39)) % 0.53/0.74 (define @t42 () (@list @t29)) % 0.53/0.74 (define @t43 () (exists @t42 @t41)) % 0.53/0.74 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.53/0.74 (define @t45 () (@var "Y23" $$unsorted)) % 0.53/0.74 (define @t46 () (@var "X18" $$unsorted)) % 0.53/0.74 (define @t47 () (= @t46 @t45)) % 0.53/0.74 (define @t48 () (@var "X17" $$unsorted)) % 0.53/0.74 (define @t49 () (@var "X16" $$unsorted)) % 0.53/0.74 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.53/0.74 (define @t51 () (and @t50 @t47)) % 0.53/0.74 (define @t52 () (not @t47)) % 0.53/0.74 (define @t53 () (not @t50)) % 0.53/0.74 (define @t54 () (and @t53 @t52)) % 0.53/0.74 (define @t55 () (or @t54 @t51)) % 0.53/0.74 (define @t56 () (@list @t46)) % 0.53/0.74 (define @t57 () (forall @t56 @t55)) % 0.53/0.74 (define @t58 () (@list @t45)) % 0.53/0.74 (define @t59 () (exists @t58 @t57)) % 0.53/0.74 (define @t60 () (forall (@list @t49 @t48) @t59)) % 0.53/0.74 (define @t61 () (@var "Y7" $$unsorted)) % 0.53/0.74 (define @t62 () (@var "X8" $$unsorted)) % 0.53/0.74 (define @t63 () (@var "X1" $$unsorted)) % 0.53/0.74 (define @t64 () (tptp.r3 @t63 @t62 @t61)) % 0.53/0.74 (define @t65 () (@var "Y4" $$unsorted)) % 0.53/0.74 (define @t66 () (tptp.r2 @t61 @t65)) % 0.53/0.74 (define @t67 () (and @t66 @t64)) % 0.53/0.74 (define @t68 () (@list @t61)) % 0.53/0.74 (define @t69 () (exists @t68 @t67)) % 0.53/0.74 (define @t70 () (@var "Y5" $$unsorted)) % 0.53/0.74 (define @t71 () (= @t70 @t65)) % 0.53/0.74 (define @t72 () (@var "Y15" $$unsorted)) % 0.53/0.74 (define @t73 () (tptp.r3 @t63 @t72 @t70)) % 0.53/0.74 (define @t74 () (tptp.r2 @t62 @t72)) % 0.53/0.74 (define @t75 () (and @t74 @t73)) % 0.53/0.74 (define @t76 () (@list @t72)) % 0.53/0.74 (define @t77 () (exists @t76 @t75)) % 0.53/0.74 (define @t78 () (and @t77 @t71)) % 0.53/0.74 (define @t79 () (@list @t70)) % 0.53/0.74 (define @t80 () (exists @t79 @t78)) % 0.53/0.74 (define @t81 () (and @t80 @t69)) % 0.53/0.74 (define @t82 () (@list @t65)) % 0.53/0.74 (define @t83 () (exists @t82 @t81)) % 0.53/0.74 (define @t84 () (forall (@list @t63 @t62) @t83)) % 0.53/0.74 (define @t85 () (@var "Y6" $$unsorted)) % 0.53/0.74 (define @t86 () (@var "X9" $$unsorted)) % 0.53/0.74 (define @t87 () (@var "X2" $$unsorted)) % 0.53/0.74 (define @t88 () (tptp.r4 @t87 @t86 @t85)) % 0.53/0.74 (define @t89 () (@var "Y2" $$unsorted)) % 0.53/0.74 (define @t90 () (tptp.r3 @t85 @t87 @t89)) % 0.53/0.74 (define @t91 () (and @t90 @t88)) % 0.53/0.74 (define @t92 () (@list @t85)) % 0.53/0.74 (define @t93 () (exists @t92 @t91)) % 0.53/0.74 (define @t94 () (@var "Y3" $$unsorted)) % 0.53/0.74 (define @t95 () (= @t94 @t89)) % 0.53/0.74 (define @t96 () (@var "Y14" $$unsorted)) % 0.53/0.74 (define @t97 () (tptp.r4 @t87 @t96 @t94)) % 0.53/0.74 (define @t98 () (tptp.r2 @t86 @t96)) % 0.53/0.74 (define @t99 () (and @t98 @t97)) % 0.53/0.74 (define @t100 () (@list @t96)) % 0.53/0.74 (define @t101 () (exists @t100 @t99)) % 0.53/0.74 (define @t102 () (and @t101 @t95)) % 0.53/0.74 (define @t103 () (@list @t94)) % 0.53/0.74 (define @t104 () (exists @t103 @t102)) % 0.53/0.74 (define @t105 () (and @t104 @t93)) % 0.53/0.74 (define @t106 () (@list @t89)) % 0.53/0.74 (define @t107 () (exists @t106 @t105)) % 0.53/0.74 (define @t108 () (forall (@list @t87 @t86) @t107)) % 0.53/0.74 (define @t109 () (@var "X10" $$unsorted)) % 0.53/0.74 (define @t110 () (@var "X3" $$unsorted)) % 0.53/0.74 (define @t111 () (@var "Y12" $$unsorted)) % 0.53/0.74 (define @t112 () (@var "Y13" $$unsorted)) % 0.53/0.74 (define @t113 () (@var "X4" $$unsorted)) % 0.53/0.74 (define @t114 () (@var "Y9" $$unsorted)) % 0.53/0.74 (define @t115 () (= @t114 @t113)) % 0.53/0.74 (define @t116 () (@var "Y16" $$unsorted)) % 0.53/0.74 (define @t117 () (tptp.r3 @t113 @t116 @t114)) % 0.53/0.74 (define @t118 () (tptp.r1 @t116)) % 0.53/0.74 (define @t119 () (and @t118 @t117)) % 0.53/0.74 (define @t120 () (@list @t116)) % 0.53/0.74 (define @t121 () (exists @t120 @t119)) % 0.53/0.74 (define @t122 () (and @t121 @t115)) % 0.53/0.74 (define @t123 () (@list @t114)) % 0.53/0.74 (define @t124 () (exists @t123 @t122)) % 0.53/0.74 (define @t125 () (forall (@list @t113) @t124)) % 0.53/0.74 (define @t126 () (@var "Y18" $$unsorted)) % 0.53/0.74 (define @t127 () (@var "Y8" $$unsorted)) % 0.53/0.74 (define @t128 () (= @t127 @t126)) % 0.53/0.74 (define @t129 () (tptp.r1 @t126)) % 0.53/0.74 (define @t130 () (and @t129 @t128)) % 0.53/0.74 (define @t131 () (@list @t126)) % 0.53/0.74 (define @t132 () (exists @t131 @t130)) % 0.53/0.74 (define @t133 () (@var "Y17" $$unsorted)) % 0.53/0.74 (define @t134 () (@var "X5" $$unsorted)) % 0.53/0.74 (define @t135 () (tptp.r4 @t134 @t133 @t127)) % 0.53/0.74 (define @t136 () (tptp.r1 @t133)) % 0.53/0.74 (define @t137 () (and @t136 @t135)) % 0.53/0.74 (define @t138 () (@list @t133)) % 0.53/0.74 (define @t139 () (exists @t138 @t137)) % 0.53/0.74 (define @t140 () (and @t139 @t132)) % 0.53/0.74 (define @t141 () (@list @t127)) % 0.53/0.74 (define @t142 () (exists @t141 @t140)) % 0.53/0.74 (define @t143 () (forall (@list @t134) @t142)) % 0.53/0.74 (define @t144 () (@var "Y11" $$unsorted)) % 0.53/0.74 (define @t145 () (@var "X6" $$unsorted)) % 0.53/0.74 (define @t146 () (@var "Y1" $$unsorted)) % 0.53/0.74 (define @t147 () (@var "Y19" $$unsorted)) % 0.53/0.74 (define @t148 () (@var "Y10" $$unsorted)) % 0.53/0.74 (define @t149 () (@var "X7" $$unsorted)) % 0.53/0.74 (define @t150 () (@var "Y20" $$unsorted)) % 0.53/0.74 (define @t151 () (tptp.r2 @t85 @t70)) % 0.53/0.74 (define @t152 () (tptp.r1 @t85)) % 0.53/0.74 (define @t153 () (and @t152 @t151)) % 0.53/0.74 (define @t154 () (exists @t92 @t153)) % 0.53/0.74 (define @t155 () (tptp.r2 @t70 @t65)) % 0.53/0.74 (define @t156 () (and @t155 @t154)) % 0.53/0.74 (define @t157 () (exists @t79 @t156)) % 0.53/0.75 (define @t158 () (and (= @t94 @t65) @t157)) % 0.53/0.75 (define @t159 () (exists @t82 @t158)) % 0.53/0.75 (define @t160 () (tptp.r4 @t146 @t89 @t94)) % 0.53/0.75 (define @t161 () (and @t160 @t159)) % 0.53/0.75 (define @t162 () (@list @t146 @t89 @t94)) % 0.53/0.75 (define @t163 () (exists @t162 @t161)) % 0.53/0.75 (define @t164 () (not @t163)) % 0.53/0.75 (define @t165 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 0.53/0.75 (define @t166 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 0.53/0.75 (define @t167 () (not (tptp.r2 @t166 @t165))) % 0.53/0.75 (define @t168 () (not (tptp.r1 @t166))) % 0.53/0.75 (define @t169 () (not (tptp.r2 @t165 @t94))) % 0.53/0.75 (define @t170 () (not @t160)) % 0.53/0.75 (define @t171 () (or @t170 @t169 @t168 @t167)) % 0.53/0.75 (define @t172 () (@list @t146 @t89 @t94 @t165 @t166)) % 0.53/0.75 (define @t173 () (or @t169 @t168 @t167)) % 0.53/0.75 (define @t174 () (or @t170 @t173)) % 0.53/0.75 (define @t175 () (forall @t172 @t174)) % 0.53/0.75 (define @t176 () (@list @t165 @t166)) % 0.53/0.75 (define @t177 () (forall @t176 @t174)) % 0.53/0.75 (define @t178 () (forall @t176 @t173)) % 0.53/0.75 (define @t179 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 0.53/0.75 (define @t180 () (@var "BOUND_VARIABLE_8168" $$unsorted)) % 0.53/0.75 (define @t181 () (@list @t180 @t179)) % 0.53/0.75 (define @t182 () (or @t170 @t178)) % 0.53/0.75 (define @t183 () (not (tptp.r2 @t179 @t180))) % 0.53/0.75 (define @t184 () (not (tptp.r1 @t179))) % 0.53/0.75 (define @t185 () (not (tptp.r2 @t180 @t94))) % 0.53/0.75 (define @t186 () (or @t185 @t184 @t183)) % 0.53/0.75 (define @t187 () (@list @t180 @t179)) % 0.53/0.75 (define @t188 () (forall @t187 @t186)) % 0.53/0.75 (define @t189 () (not @t188)) % 0.53/0.75 (define @t190 () (and @t160 @t189)) % 0.53/0.75 (define @t191 () (forall @t162 (not @t190))) % 0.53/0.75 (define @t192 () (not @t191)) % 0.53/0.75 (define @t193 () (not (= @t94 @t94))) % 0.53/0.75 (define @t194 () (or @t193 @t185 @t184 @t183)) % 0.53/0.75 (define @t195 () (not (tptp.r2 @t180 @t65))) % 0.53/0.75 (define @t196 () (= @t65 @t94)) % 0.53/0.75 (define @t197 () (not @t196)) % 0.53/0.75 (define @t198 () (or @t197 @t197 @t195 @t184 @t183)) % 0.53/0.75 (define @t199 () (or @t197 @t195 @t184 @t183)) % 0.53/0.75 (define @t200 () (forall @t82 @t199)) % 0.53/0.75 (define @t201 () (forall @t187 @t200)) % 0.53/0.75 (define @t202 () (forall (@list @t180 @t179 @t65) @t199)) % 0.53/0.75 (define @t203 () (@list @t65 @t180 @t179)) % 0.53/0.75 (define @t204 () (or @t195 @t184 @t183)) % 0.53/0.75 (define @t205 () (or @t197 @t204)) % 0.53/0.75 (define @t206 () (forall @t203 @t205)) % 0.53/0.75 (define @t207 () (forall @t187 @t205)) % 0.53/0.75 (define @t208 () (forall @t187 @t204)) % 0.53/0.75 (define @t209 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.53/0.75 (define @t210 () (or @t197 @t208)) % 0.53/0.75 (define @t211 () (not (tptp.r2 @t209 @t70))) % 0.53/0.75 (define @t212 () (not (tptp.r1 @t209))) % 0.53/0.75 (define @t213 () (not @t155)) % 0.53/0.75 (define @t214 () (or @t213 @t212 @t211)) % 0.53/0.75 (define @t215 () (@list @t70 @t209)) % 0.53/0.75 (define @t216 () (forall @t215 @t214)) % 0.53/0.75 (define @t217 () (not @t216)) % 0.53/0.75 (define @t218 () (and @t196 @t217)) % 0.53/0.75 (define @t219 () (forall @t82 (not @t218))) % 0.53/0.75 (define @t220 () (not @t219)) % 0.53/0.75 (define @t221 () (or @t212 @t211)) % 0.53/0.75 (define @t222 () (or @t213 @t221)) % 0.53/0.75 (define @t223 () (forall @t215 @t222)) % 0.53/0.75 (define @t224 () (@list @t209)) % 0.53/0.75 (define @t225 () (forall @t224 @t222)) % 0.53/0.75 (define @t226 () (forall @t224 @t221)) % 0.53/0.75 (define @t227 () (@list @t85)) % 0.53/0.75 (define @t228 () (or @t213 @t226)) % 0.53/0.75 (define @t229 () (forall @t92 (or (not @t152) (not @t151)))) % 0.53/0.75 (define @t230 () (not @t229)) % 0.53/0.75 (define @t231 () (and @t155 @t230)) % 0.53/0.75 (define @t232 () (forall @t79 (not @t231))) % 0.53/0.75 (define @t233 () (not @t232)) % 0.53/0.75 (define @t234 () (forall @t92 (not @t153))) % 0.53/0.75 (define @t235 () (not @t234)) % 0.53/0.75 (define @t236 () (tptp.r1 @t1)) % 0.53/0.75 (define @t237 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 0.53/0.75 (define @t238 () (tptp.r1 @t237)) % 0.53/0.75 (define @t239 () (not @t238)) % 0.53/0.75 (define @t240 () (@list @t237)) % 0.53/0.75 (define @t241 () (forall @t240 (or @t239 (and @t238 (= @t1 @t237))))) % 0.53/0.75 (define @t242 () (forall @t12 (or (not @t241) (not @t236)))) % 0.53/0.75 (define @t243 () (@quantifiers_skolemize @t242 0)) % 0.53/0.75 (define @t244 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 0.53/0.75 (define @t245 () (= @t14 @t244)) % 0.53/0.75 (define @t246 () (tptp.r2 @t243 @t244)) % 0.53/0.75 (define @t247 () (not @t246)) % 0.53/0.75 (define @t248 () (@list @t244)) % 0.53/0.75 (define @t249 () (forall @t26 (or (not (forall @t248 (or @t247 (and @t246 @t245)))) (not (tptp.r2 @t243 @t14))))) % 0.53/0.75 (define @t250 () (@quantifiers_skolemize @t249 0)) % 0.53/0.75 (define @t251 () (@var "BOUND_VARIABLE_7957" $$unsorted)) % 0.53/0.75 (define @t252 () (not (tptp.r3 @t251 @t250 @t89))) % 0.53/0.75 (define @t253 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 0.53/0.75 (define @t254 () (not (tptp.r4 @t250 @t253 @t89))) % 0.53/0.75 (define @t255 () (@list @t89 @t253 @t251)) % 0.53/0.75 (define @t256 () (forall @t255 (or (not (tptp.r2 @t250 @t253)) @t254 @t252 (not (tptp.r4 @t250 @t250 @t251))))) % 0.53/0.75 (define @t257 () (@quantifiers_skolemize @t256 0)) % 0.53/0.75 (define @t258 () (@quantifiers_skolemize @t256 1)) % 0.53/0.75 (define @t259 () (not (tptp.r4 @t87 @t86 @t251))) % 0.53/0.75 (define @t260 () (not (tptp.r3 @t251 @t87 @t89))) % 0.53/0.75 (define @t261 () (not (tptp.r4 @t87 @t253 @t89))) % 0.53/0.75 (define @t262 () (not (tptp.r2 @t86 @t253))) % 0.53/0.75 (define @t263 () (or @t260 @t259)) % 0.53/0.75 (define @t264 () (or @t262 @t261)) % 0.53/0.75 (define @t265 () (or @t264 @t263)) % 0.53/0.75 (define @t266 () (forall @t255 @t265)) % 0.53/0.75 (define @t267 () (forall (@list @t253 @t251) @t265)) % 0.53/0.75 (define @t268 () (forall (@list @t251) @t263)) % 0.53/0.75 (define @t269 () (forall (@list @t253) @t264)) % 0.53/0.75 (define @t270 () (@var "BOUND_VARIABLE_7912" $$unsorted)) % 0.53/0.75 (define @t271 () (@list @t270)) % 0.53/0.75 (define @t272 () (or @t269 @t268)) % 0.53/0.75 (define @t273 () (forall @t92 (or (not @t90) (not @t88)))) % 0.53/0.75 (define @t274 () (not (tptp.r4 @t87 @t270 @t89))) % 0.53/0.75 (define @t275 () (not (tptp.r2 @t86 @t270))) % 0.53/0.75 (define @t276 () (or @t275 @t274)) % 0.53/0.75 (define @t277 () (@list @t270)) % 0.53/0.75 (define @t278 () (forall @t277 @t276)) % 0.53/0.75 (define @t279 () (not @t273)) % 0.53/0.75 (define @t280 () (not @t278)) % 0.53/0.75 (define @t281 () (and @t280 @t279)) % 0.53/0.75 (define @t282 () (forall @t106 (not @t281))) % 0.53/0.75 (define @t283 () (not @t282)) % 0.53/0.75 (define @t284 () (forall @t92 (not @t91))) % 0.53/0.75 (define @t285 () (not @t284)) % 0.53/0.75 (define @t286 () (not (= @t89 @t89))) % 0.53/0.75 (define @t287 () (or @t286 @t275 @t274)) % 0.53/0.75 (define @t288 () (not (tptp.r4 @t87 @t270 @t94))) % 0.53/0.75 (define @t289 () (= @t89 @t94)) % 0.53/0.75 (define @t290 () (not @t289)) % 0.53/0.75 (define @t291 () (or @t290 @t290 @t275 @t288)) % 0.53/0.75 (define @t292 () (or @t290 @t275 @t288)) % 0.53/0.75 (define @t293 () (forall @t103 @t292)) % 0.53/0.75 (define @t294 () (forall @t277 @t293)) % 0.53/0.75 (define @t295 () (forall (@list @t270 @t94) @t292)) % 0.53/0.75 (define @t296 () (@list @t94 @t270)) % 0.53/0.75 (define @t297 () (or @t275 @t288)) % 0.53/0.75 (define @t298 () (or @t297 @t290)) % 0.53/0.75 (define @t299 () (forall @t296 @t298)) % 0.53/0.75 (define @t300 () (forall @t277 @t298)) % 0.53/0.75 (define @t301 () (forall @t277 @t297)) % 0.53/0.75 (define @t302 () (or @t301 @t290)) % 0.53/0.75 (define @t303 () (forall @t100 (or (not @t98) (not @t97)))) % 0.53/0.75 (define @t304 () (not @t303)) % 0.53/0.75 (define @t305 () (and @t304 @t289)) % 0.53/0.75 (define @t306 () (forall @t103 (not @t305))) % 0.53/0.75 (define @t307 () (not @t306)) % 0.53/0.75 (define @t308 () (forall @t100 (not @t99))) % 0.53/0.75 (define @t309 () (not @t308)) % 0.53/0.75 (define @t310 () (@list @t250 @t250)) % 0.53/0.75 (define @t311 () (tptp.r4 @t250 @t258 @t257)) % 0.53/0.75 (define @t312 () (@quantifiers_skolemize @t256 2)) % 0.53/0.75 (define @t313 () (tptp.r4 @t250 @t250 @t312)) % 0.53/0.75 (define @t314 () (not @t313)) % 0.53/0.75 (define @t315 () (tptp.r3 @t312 @t250 @t257)) % 0.53/0.75 (define @t316 () (not @t315)) % 0.53/0.75 (define @t317 () (not @t311)) % 0.53/0.75 (define @t318 () (or (not (tptp.r2 @t250 @t258)) @t317 @t316 @t314)) % 0.53/0.75 (define @t319 () (@list true)) % 0.53/0.75 (define @t320 () (@list @t318)) % 0.53/0.75 (define @t321 () (tptp.r2 @t17 @t244)) % 0.53/0.75 (define @t322 () (forall @t248 (or (not @t321) (and @t321 @t245)))) % 0.53/0.75 (define @t323 () (tptp.r2 @t17 @t14)) % 0.53/0.75 (define @t324 () (and @t322 @t323)) % 0.53/0.75 (define @t325 () (forall @t26 (not @t324))) % 0.53/0.75 (define @t326 () (not @t325)) % 0.53/0.75 (define @t327 () (= @t14 @t14)) % 0.53/0.75 (define @t328 () (and @t323 @t327)) % 0.53/0.75 (define @t329 () (not @t327)) % 0.53/0.75 (define @t330 () (or @t329 @t328)) % 0.53/0.75 (define @t331 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 0.53/0.75 (define @t332 () (= @t14 @t331)) % 0.53/0.75 (define @t333 () (and (tptp.r2 @t17 @t331) @t332)) % 0.53/0.75 (define @t334 () (not @t332)) % 0.53/0.75 (define @t335 () (@list @t331)) % 0.53/0.75 (define @t336 () (or @t334 @t334 @t333)) % 0.53/0.75 (define @t337 () (or @t334 @t333)) % 0.53/0.75 (define @t338 () (forall @t335 @t337)) % 0.53/0.75 (define @t339 () (= @t14 @t15)) % 0.53/0.75 (define @t340 () (and @t18 @t339)) % 0.53/0.75 (define @t341 () (not @t339)) % 0.53/0.75 (define @t342 () (or @t341 @t340)) % 0.53/0.75 (define @t343 () (forall @t24 @t342)) % 0.53/0.75 (define @t344 () (@list @t15)) % 0.53/0.75 (define @t345 () (or @t21 @t340)) % 0.53/0.75 (define @t346 () (forall @t24 @t345)) % 0.53/0.75 (define @t347 () (and @t346 @t343)) % 0.53/0.75 (define @t348 () (@list @t243)) % 0.53/0.75 (define @t349 () (tptp.r2 @t243 @t250)) % 0.53/0.75 (define @t350 () (not @t349)) % 0.53/0.75 (define @t351 () (forall @t248 (or @t247 (and @t246 (= @t244 @t250))))) % 0.53/0.75 (define @t352 () (not @t351)) % 0.53/0.75 (define @t353 () (or @t352 @t350)) % 0.53/0.75 (define @t354 () (not @t353)) % 0.53/0.75 (define @t355 () (not @t249)) % 0.53/0.75 (define @t356 () (and @t246 (= @t250 @t244))) % 0.53/0.75 (define @t357 () (or @t247 @t356)) % 0.53/0.75 (define @t358 () (forall @t248 @t357)) % 0.53/0.75 (define @t359 () (not @t358)) % 0.53/0.75 (define @t360 () (or @t359 @t350)) % 0.53/0.75 (define @t361 () (not @t360)) % 0.53/0.75 (define @t362 () (@list @t353)) % 0.53/0.75 (define @t363 () (and @t241 @t236)) % 0.53/0.75 (define @t364 () (forall @t12 (not @t363))) % 0.53/0.75 (define @t365 () (not @t364)) % 0.53/0.75 (define @t366 () (= @t1 @t1)) % 0.53/0.75 (define @t367 () (and @t236 @t366)) % 0.53/0.75 (define @t368 () (not @t366)) % 0.53/0.75 (define @t369 () (or @t368 @t367)) % 0.53/0.75 (define @t370 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.53/0.75 (define @t371 () (= @t1 @t370)) % 0.53/0.75 (define @t372 () (and (tptp.r1 @t370) @t371)) % 0.53/0.75 (define @t373 () (not @t371)) % 0.53/0.75 (define @t374 () (@list @t370)) % 0.53/0.75 (define @t375 () (or @t373 @t373 @t372)) % 0.53/0.75 (define @t376 () (or @t373 @t372)) % 0.53/0.75 (define @t377 () (forall @t374 @t376)) % 0.53/0.75 (define @t378 () (= @t1 @t2)) % 0.53/0.75 (define @t379 () (and @t4 @t378)) % 0.53/0.75 (define @t380 () (not @t378)) % 0.53/0.75 (define @t381 () (or @t380 @t379)) % 0.53/0.75 (define @t382 () (forall @t10 @t381)) % 0.53/0.75 (define @t383 () (@list @t2)) % 0.53/0.75 (define @t384 () (or @t7 @t379)) % 0.53/0.75 (define @t385 () (forall @t10 @t384)) % 0.53/0.75 (define @t386 () (and @t385 @t382)) % 0.53/0.75 (define @t387 () (tptp.r1 @t243)) % 0.53/0.75 (define @t388 () (not @t387)) % 0.53/0.75 (define @t389 () (forall @t240 (or @t239 (and @t238 (= @t237 @t243))))) % 0.53/0.75 (define @t390 () (not @t389)) % 0.53/0.75 (define @t391 () (or @t390 @t388)) % 0.53/0.75 (define @t392 () (not @t391)) % 0.53/0.75 (define @t393 () (not @t242)) % 0.53/0.75 (define @t394 () (and @t238 (= @t243 @t237))) % 0.53/0.75 (define @t395 () (or @t239 @t394)) % 0.53/0.75 (define @t396 () (forall @t240 @t395)) % 0.53/0.75 (define @t397 () (not @t396)) % 0.53/0.75 (define @t398 () (or @t397 @t388)) % 0.53/0.75 (define @t399 () (not @t398)) % 0.53/0.75 (define @t400 () (@list @t391)) % 0.53/0.75 (define @t401 () (not (tptp.r2 @t250 @t257))) % 0.53/0.75 (define @t402 () (or @t317 @t401 @t388 @t350)) % 0.53/0.75 (define @t403 () (@var "BOUND_VARIABLE_7732" $$unsorted)) % 0.53/0.75 (define @t404 () (= @t29 @t403)) % 0.53/0.75 (define @t405 () (tptp.r3 @t33 @t32 @t403)) % 0.53/0.75 (define @t406 () (@list @t403)) % 0.53/0.75 (define @t407 () (forall @t406 (or (not @t405) (and @t405 @t404)))) % 0.53/0.75 (define @t408 () (tptp.r3 @t33 @t32 @t29)) % 0.53/0.75 (define @t409 () (and @t407 @t408)) % 0.53/0.75 (define @t410 () (forall @t42 (not @t409))) % 0.53/0.75 (define @t411 () (not @t410)) % 0.53/0.75 (define @t412 () (= @t29 @t29)) % 0.53/0.75 (define @t413 () (and @t408 @t412)) % 0.53/0.75 (define @t414 () (not @t412)) % 0.53/0.75 (define @t415 () (or @t414 @t413)) % 0.53/0.75 (define @t416 () (@var "BOUND_VARIABLE_7741" $$unsorted)) % 0.53/0.75 (define @t417 () (= @t29 @t416)) % 0.53/0.75 (define @t418 () (and (tptp.r3 @t33 @t32 @t416) @t417)) % 0.53/0.75 (define @t419 () (not @t417)) % 0.53/0.75 (define @t420 () (@list @t416)) % 0.53/0.75 (define @t421 () (or @t419 @t419 @t418)) % 0.53/0.75 (define @t422 () (or @t419 @t418)) % 0.53/0.75 (define @t423 () (forall @t420 @t422)) % 0.53/0.75 (define @t424 () (= @t29 @t30)) % 0.53/0.75 (define @t425 () (and @t34 @t424)) % 0.53/0.75 (define @t426 () (not @t424)) % 0.53/0.75 (define @t427 () (or @t426 @t425)) % 0.53/0.75 (define @t428 () (forall @t40 @t427)) % 0.53/0.75 (define @t429 () (@list @t30)) % 0.53/0.75 (define @t430 () (or @t37 @t425)) % 0.53/0.75 (define @t431 () (forall @t40 @t430)) % 0.53/0.75 (define @t432 () (and @t431 @t428)) % 0.53/0.75 (define @t433 () (tptp.r3 @t250 @t250 @t403)) % 0.53/0.75 (define @t434 () (not @t433)) % 0.53/0.75 (define @t435 () (forall @t42 (or (not (forall @t406 (or @t434 (and @t433 @t404)))) (not (tptp.r3 @t250 @t250 @t29))))) % 0.53/0.75 (define @t436 () (@quantifiers_skolemize @t435 0)) % 0.53/0.75 (define @t437 () (not (tptp.r3 @t250 @t250 @t436))) % 0.53/0.75 (define @t438 () (forall @t406 (or @t434 (and @t433 (= @t403 @t436))))) % 0.53/0.75 (define @t439 () (not @t438)) % 0.53/0.75 (define @t440 () (or @t439 @t437)) % 0.53/0.75 (define @t441 () (not @t440)) % 0.53/0.75 (define @t442 () (not @t435)) % 0.53/0.75 (define @t443 () (and @t433 (= @t436 @t403))) % 0.53/0.75 (define @t444 () (or @t434 @t443)) % 0.53/0.75 (define @t445 () (forall @t406 @t444)) % 0.53/0.75 (define @t446 () (not @t445)) % 0.53/0.75 (define @t447 () (or @t446 @t437)) % 0.53/0.75 (define @t448 () (not @t447)) % 0.53/0.75 (define @t449 () (tptp.r3 @t250 @t250 @t257)) % 0.53/0.75 (define @t450 () (and @t449 (= @t257 @t436))) % 0.53/0.75 (define @t451 () (not @t449)) % 0.53/0.75 (define @t452 () (or @t451 @t450)) % 0.53/0.75 (define @t453 () (= @t436 @t257)) % 0.53/0.75 (define @t454 () (and @t449 @t453)) % 0.53/0.75 (define @t455 () (or @t451 @t454)) % 0.53/0.75 (define @t456 () (@list false)) % 0.53/0.75 (define @t457 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 0.53/0.75 (define @t458 () (= @t45 @t457)) % 0.53/0.75 (define @t459 () (tptp.r4 @t49 @t48 @t457)) % 0.53/0.75 (define @t460 () (@list @t457)) % 0.53/0.75 (define @t461 () (forall @t460 (or (not @t459) (and @t459 @t458)))) % 0.53/0.75 (define @t462 () (tptp.r4 @t49 @t48 @t45)) % 0.53/0.75 (define @t463 () (and @t461 @t462)) % 0.53/0.75 (define @t464 () (forall @t58 (not @t463))) % 0.53/0.75 (define @t465 () (not @t464)) % 0.53/0.75 (define @t466 () (= @t45 @t45)) % 0.53/0.75 (define @t467 () (and @t462 @t466)) % 0.53/0.75 (define @t468 () (not @t466)) % 0.53/0.75 (define @t469 () (or @t468 @t467)) % 0.53/0.75 (define @t470 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.53/0.75 (define @t471 () (= @t45 @t470)) % 0.53/0.75 (define @t472 () (and (tptp.r4 @t49 @t48 @t470) @t471)) % 0.53/0.75 (define @t473 () (not @t471)) % 0.53/0.75 (define @t474 () (@list @t470)) % 0.53/0.75 (define @t475 () (or @t473 @t473 @t472)) % 0.53/0.75 (define @t476 () (or @t473 @t472)) % 0.53/0.75 (define @t477 () (forall @t474 @t476)) % 0.53/0.75 (define @t478 () (= @t45 @t46)) % 0.53/0.75 (define @t479 () (and @t50 @t478)) % 0.53/0.75 (define @t480 () (not @t478)) % 0.53/0.75 (define @t481 () (or @t480 @t479)) % 0.53/0.75 (define @t482 () (forall @t56 @t481)) % 0.53/0.75 (define @t483 () (@list @t46)) % 0.53/0.75 (define @t484 () (or @t53 @t479)) % 0.53/0.75 (define @t485 () (forall @t56 @t484)) % 0.53/0.75 (define @t486 () (and @t485 @t482)) % 0.53/0.75 (define @t487 () (tptp.r4 @t250 @t250 @t457)) % 0.53/0.75 (define @t488 () (not @t487)) % 0.53/0.75 (define @t489 () (forall @t58 (or (not (forall @t460 (or @t488 (and @t487 @t458)))) (not (tptp.r4 @t250 @t250 @t45))))) % 0.53/0.75 (define @t490 () (@quantifiers_skolemize @t489 0)) % 0.53/0.75 (define @t491 () (not (tptp.r4 @t250 @t250 @t490))) % 0.53/0.75 (define @t492 () (forall @t460 (or @t488 (and @t487 (= @t457 @t490))))) % 0.53/0.75 (define @t493 () (not @t492)) % 0.53/0.75 (define @t494 () (or @t493 @t491)) % 0.53/0.75 (define @t495 () (not @t494)) % 0.53/0.75 (define @t496 () (not @t489)) % 0.53/0.75 (define @t497 () (and @t487 (= @t490 @t457))) % 0.53/0.75 (define @t498 () (or @t488 @t497)) % 0.53/0.75 (define @t499 () (forall @t460 @t498)) % 0.53/0.75 (define @t500 () (not @t499)) % 0.53/0.75 (define @t501 () (or @t500 @t491)) % 0.53/0.75 (define @t502 () (not @t501)) % 0.53/0.75 (define @t503 () (and @t313 (= @t312 @t490))) % 0.53/0.75 (define @t504 () (or @t314 @t503)) % 0.53/0.75 (define @t505 () (= @t490 @t312)) % 0.53/0.75 (define @t506 () (and @t313 @t505)) % 0.53/0.75 (define @t507 () (or @t314 @t506)) % 0.53/0.75 (define @t508 () (@list false false)) % 0.53/0.75 (define @t509 () (forall @t255 (or (not (tptp.r2 @t243 @t253)) @t254 @t252 (not (tptp.r4 @t250 @t243 @t251))))) % 0.53/0.75 (define @t510 () (@quantifiers_skolemize @t509 0)) % 0.53/0.75 (define @t511 () (@list @t510)) % 0.53/0.75 (define @t512 () (@list @t250 @t243)) % 0.53/0.75 (define @t513 () (@quantifiers_skolemize @t509 1)) % 0.53/0.75 (define @t514 () (tptp.r4 @t250 @t513 @t510)) % 0.53/0.75 (define @t515 () (@quantifiers_skolemize @t509 2)) % 0.53/0.75 (define @t516 () (tptp.r4 @t250 @t243 @t515)) % 0.53/0.75 (define @t517 () (not @t516)) % 0.53/0.75 (define @t518 () (tptp.r3 @t515 @t250 @t510)) % 0.53/0.75 (define @t519 () (not @t518)) % 0.53/0.75 (define @t520 () (not @t514)) % 0.53/0.75 (define @t521 () (tptp.r2 @t243 @t513)) % 0.53/0.75 (define @t522 () (not @t521)) % 0.53/0.75 (define @t523 () (or @t522 @t520 @t519 @t517)) % 0.53/0.75 (define @t524 () (@list @t523)) % 0.53/0.75 (define @t525 () (and @t521 (= @t513 @t250))) % 0.53/0.75 (define @t526 () (or @t522 @t525)) % 0.53/0.75 (define @t527 () (= @t250 @t513)) % 0.53/0.75 (define @t528 () (and @t521 @t527)) % 0.53/0.75 (define @t529 () (or @t522 @t528)) % 0.53/0.75 (define @t530 () (@list @t351)) % 0.53/0.75 (define @t531 () (tptp.r4 @t250 @t250 @t510)) % 0.53/0.75 (define @t532 () (= @t510 @t490)) % 0.53/0.75 (define @t533 () (and @t531 @t532)) % 0.53/0.75 (define @t534 () (not @t531)) % 0.53/0.75 (define @t535 () (or @t534 @t533)) % 0.53/0.75 (define @t536 () (tptp.r3 @t243 @t250 @t403)) % 0.53/0.75 (define @t537 () (not @t536)) % 0.53/0.75 (define @t538 () (forall @t42 (or (not (forall @t406 (or @t537 (and @t536 @t404)))) (not (tptp.r3 @t243 @t250 @t29))))) % 0.53/0.75 (define @t539 () (@quantifiers_skolemize @t538 0)) % 0.53/0.75 (define @t540 () (not (tptp.r3 @t243 @t250 @t539))) % 0.53/0.75 (define @t541 () (forall @t406 (or @t537 (and @t536 (= @t403 @t539))))) % 0.53/0.75 (define @t542 () (not @t541)) % 0.53/0.75 (define @t543 () (or @t542 @t540)) % 0.53/0.75 (define @t544 () (not @t543)) % 0.53/0.75 (define @t545 () (not @t538)) % 0.53/0.75 (define @t546 () (and @t536 (= @t539 @t403))) % 0.53/0.75 (define @t547 () (or @t537 @t546)) % 0.53/0.75 (define @t548 () (forall @t406 @t547)) % 0.53/0.75 (define @t549 () (not @t548)) % 0.53/0.75 (define @t550 () (or @t549 @t540)) % 0.53/0.75 (define @t551 () (not @t550)) % 0.53/0.75 (define @t552 () (tptp.r3 @t243 @t250 @t510)) % 0.53/0.75 (define @t553 () (and @t552 (= @t510 @t539))) % 0.53/0.75 (define @t554 () (not @t552)) % 0.53/0.75 (define @t555 () (or @t554 @t553)) % 0.53/0.75 (define @t556 () (= @t539 @t510)) % 0.53/0.75 (define @t557 () (and @t552 @t556)) % 0.53/0.75 (define @t558 () (or @t554 @t557)) % 0.53/0.75 (define @t559 () (tptp.r4 @t250 @t243 @t457)) % 0.53/0.75 (define @t560 () (not @t559)) % 0.53/0.75 (define @t561 () (forall @t58 (or (not (forall @t460 (or @t560 (and @t559 @t458)))) (not (tptp.r4 @t250 @t243 @t45))))) % 0.53/0.75 (define @t562 () (@quantifiers_skolemize @t561 0)) % 0.53/0.75 (define @t563 () (not (tptp.r4 @t250 @t243 @t562))) % 0.53/0.75 (define @t564 () (forall @t460 (or @t560 (and @t559 (= @t457 @t562))))) % 0.53/0.75 (define @t565 () (not @t564)) % 0.53/0.75 (define @t566 () (or @t565 @t563)) % 0.53/0.75 (define @t567 () (not @t566)) % 0.53/0.75 (define @t568 () (not @t561)) % 0.53/0.75 (define @t569 () (and @t559 (= @t562 @t457))) % 0.53/0.75 (define @t570 () (or @t560 @t569)) % 0.53/0.75 (define @t571 () (forall @t460 @t570)) % 0.53/0.75 (define @t572 () (not @t571)) % 0.53/0.75 (define @t573 () (or @t572 @t563)) % 0.53/0.75 (define @t574 () (not @t573)) % 0.53/0.75 (define @t575 () (and @t516 (= @t515 @t562))) % 0.53/0.75 (define @t576 () (or @t517 @t575)) % 0.53/0.75 (define @t577 () (= @t562 @t515)) % 0.53/0.75 (define @t578 () (and @t516 @t577)) % 0.53/0.75 (define @t579 () (or @t517 @t578)) % 0.53/0.75 (define @t580 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 0.53/0.75 (define @t581 () (not (tptp.r1 @t580))) % 0.53/0.75 (define @t582 () (tptp.r1 @t127)) % 0.53/0.75 (define @t583 () (not @t582)) % 0.53/0.75 (define @t584 () (@list @t127 @t580)) % 0.53/0.75 (define @t585 () (forall @t584 (or @t583 @t581 (not (tptp.r4 @t250 @t580 @t127))))) % 0.53/0.75 (define @t586 () (@quantifiers_skolemize @t585 0)) % 0.53/0.75 (define @t587 () (@list @t586)) % 0.53/0.75 (define @t588 () (not (tptp.r4 @t134 @t580 @t127))) % 0.53/0.75 (define @t589 () (or @t581 @t588)) % 0.53/0.75 (define @t590 () (or @t589 @t583)) % 0.53/0.75 (define @t591 () (forall @t584 @t590)) % 0.53/0.75 (define @t592 () (@list @t580)) % 0.53/0.75 (define @t593 () (forall @t592 @t590)) % 0.53/0.75 (define @t594 () (forall @t592 @t589)) % 0.53/0.75 (define @t595 () (or @t594 @t583)) % 0.53/0.75 (define @t596 () (forall @t138 (or (not @t136) (not @t135)))) % 0.53/0.75 (define @t597 () (not @t596)) % 0.53/0.75 (define @t598 () (and @t597 @t582)) % 0.53/0.75 (define @t599 () (forall @t141 (not @t598))) % 0.53/0.75 (define @t600 () (not @t599)) % 0.53/0.75 (define @t601 () (not (= @t127 @t127))) % 0.53/0.75 (define @t602 () (or @t583 @t601)) % 0.53/0.75 (define @t603 () (not @t128)) % 0.53/0.75 (define @t604 () (not @t129)) % 0.53/0.75 (define @t605 () (or @t603 @t604 @t603)) % 0.53/0.75 (define @t606 () (or @t604 @t603)) % 0.53/0.75 (define @t607 () (forall @t131 (not @t130))) % 0.53/0.75 (define @t608 () (not @t607)) % 0.53/0.75 (define @t609 () (forall @t138 (not @t137))) % 0.53/0.75 (define @t610 () (not @t609)) % 0.53/0.75 (define @t611 () (@list @t250)) % 0.53/0.75 (define @t612 () (@quantifiers_skolemize @t585 1)) % 0.53/0.75 (define @t613 () (tptp.r4 @t250 @t612 @t586)) % 0.53/0.75 (define @t614 () (not @t613)) % 0.53/0.75 (define @t615 () (tptp.r1 @t612)) % 0.53/0.75 (define @t616 () (not @t615)) % 0.53/0.75 (define @t617 () (tptp.r1 @t586)) % 0.53/0.75 (define @t618 () (not @t617)) % 0.53/0.75 (define @t619 () (or @t618 @t616 @t614)) % 0.53/0.75 (define @t620 () (@list @t619)) % 0.53/0.75 (define @t621 () (and @t615 (= @t612 @t243))) % 0.53/0.75 (define @t622 () (or @t616 @t621)) % 0.53/0.75 (define @t623 () (= @t243 @t612)) % 0.53/0.75 (define @t624 () (and @t615 @t623)) % 0.53/0.75 (define @t625 () (or @t616 @t624)) % 0.53/0.75 (define @t626 () (@list @t389)) % 0.53/0.75 (define @t627 () (tptp.r4 @t250 @t243 @t586)) % 0.53/0.75 (define @t628 () (= @t586 @t562)) % 0.53/0.75 (define @t629 () (and @t627 @t628)) % 0.53/0.75 (define @t630 () (not @t627)) % 0.53/0.75 (define @t631 () (or @t630 @t629)) % 0.53/0.75 (define @t632 () (and @t617 (= @t586 @t243))) % 0.53/0.75 (define @t633 () (or @t618 @t632)) % 0.53/0.75 (define @t634 () (= @t243 @t586)) % 0.53/0.75 (define @t635 () (and @t617 @t634)) % 0.53/0.75 (define @t636 () (or @t618 @t635)) % 0.53/0.75 (define @t637 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 0.53/0.75 (define @t638 () (not (tptp.r2 @t637 @t65))) % 0.53/0.75 (define @t639 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 0.53/0.75 (define @t640 () (not (tptp.r2 @t243 @t639))) % 0.53/0.75 (define @t641 () (@list @t65 @t639 @t637)) % 0.53/0.75 (define @t642 () (forall @t641 (or @t640 (not (tptp.r3 @t243 @t639 @t65)) @t638 (not (tptp.r3 @t243 @t243 @t637))))) % 0.53/0.75 (define @t643 () (@quantifiers_skolemize @t642 0)) % 0.53/0.75 (define @t644 () (@list @t643)) % 0.53/0.75 (define @t645 () (not (tptp.r3 @t63 @t62 @t637))) % 0.53/0.75 (define @t646 () (not (tptp.r3 @t63 @t639 @t65))) % 0.53/0.75 (define @t647 () (not (tptp.r2 @t62 @t639))) % 0.53/0.75 (define @t648 () (or @t638 @t645)) % 0.53/0.75 (define @t649 () (or @t647 @t646)) % 0.53/0.75 (define @t650 () (or @t649 @t648)) % 0.53/0.75 (define @t651 () (forall @t641 @t650)) % 0.53/0.75 (define @t652 () (forall (@list @t639 @t637) @t650)) % 0.53/0.75 (define @t653 () (forall (@list @t637) @t648)) % 0.53/0.75 (define @t654 () (forall (@list @t639) @t649)) % 0.53/0.75 (define @t655 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 0.53/0.75 (define @t656 () (@list @t655)) % 0.53/0.75 (define @t657 () (or @t654 @t653)) % 0.53/0.75 (define @t658 () (forall @t68 (or (not @t66) (not @t64)))) % 0.53/0.75 (define @t659 () (not (tptp.r3 @t63 @t655 @t65))) % 0.53/0.75 (define @t660 () (not (tptp.r2 @t62 @t655))) % 0.53/0.75 (define @t661 () (or @t660 @t659)) % 0.53/0.75 (define @t662 () (@list @t655)) % 0.53/0.75 (define @t663 () (forall @t662 @t661)) % 0.53/0.75 (define @t664 () (not @t658)) % 0.53/0.75 (define @t665 () (not @t663)) % 0.53/0.75 (define @t666 () (and @t665 @t664)) % 0.53/0.75 (define @t667 () (forall @t82 (not @t666))) % 0.53/0.75 (define @t668 () (not @t667)) % 0.53/0.75 (define @t669 () (forall @t68 (not @t67))) % 0.53/0.75 (define @t670 () (not @t669)) % 0.53/0.75 (define @t671 () (not (= @t65 @t65))) % 0.53/0.75 (define @t672 () (or @t671 @t660 @t659)) % 0.53/0.75 (define @t673 () (not (tptp.r3 @t63 @t655 @t70))) % 0.53/0.75 (define @t674 () (= @t65 @t70)) % 0.53/0.75 (define @t675 () (not @t674)) % 0.53/0.75 (define @t676 () (or @t675 @t675 @t660 @t673)) % 0.53/0.75 (define @t677 () (or @t675 @t660 @t673)) % 0.53/0.75 (define @t678 () (forall @t79 @t677)) % 0.53/0.75 (define @t679 () (forall @t662 @t678)) % 0.53/0.75 (define @t680 () (forall (@list @t655 @t70) @t677)) % 0.53/0.75 (define @t681 () (@list @t70 @t655)) % 0.53/0.75 (define @t682 () (or @t660 @t673)) % 0.53/0.75 (define @t683 () (or @t682 @t675)) % 0.53/0.75 (define @t684 () (forall @t681 @t683)) % 0.53/0.75 (define @t685 () (forall @t662 @t683)) % 0.53/0.75 (define @t686 () (forall @t662 @t682)) % 0.53/0.75 (define @t687 () (or @t686 @t675)) % 0.53/0.75 (define @t688 () (forall @t76 (or (not @t74) (not @t73)))) % 0.53/0.75 (define @t689 () (not @t688)) % 0.53/0.75 (define @t690 () (and @t689 @t674)) % 0.53/0.75 (define @t691 () (forall @t79 (not @t690))) % 0.53/0.75 (define @t692 () (not @t691)) % 0.53/0.75 (define @t693 () (forall @t76 (not @t75))) % 0.53/0.75 (define @t694 () (not @t693)) % 0.53/0.75 (define @t695 () (@list @t243 @t243)) % 0.53/0.75 (define @t696 () (@quantifiers_skolemize @t642 1)) % 0.53/0.75 (define @t697 () (tptp.r3 @t243 @t696 @t643)) % 0.53/0.75 (define @t698 () (@quantifiers_skolemize @t642 2)) % 0.53/0.75 (define @t699 () (tptp.r3 @t243 @t243 @t698)) % 0.53/0.75 (define @t700 () (not @t699)) % 0.53/0.75 (define @t701 () (tptp.r2 @t698 @t643)) % 0.53/0.75 (define @t702 () (not @t701)) % 0.53/0.75 (define @t703 () (not @t697)) % 0.53/0.75 (define @t704 () (tptp.r2 @t243 @t696)) % 0.53/0.75 (define @t705 () (not @t704)) % 0.53/0.75 (define @t706 () (or @t705 @t703 @t702 @t700)) % 0.53/0.75 (define @t707 () (@list @t706)) % 0.53/0.75 (define @t708 () (and @t704 (= @t696 @t250))) % 0.53/0.75 (define @t709 () (or @t705 @t708)) % 0.53/0.75 (define @t710 () (= @t250 @t696)) % 0.53/0.75 (define @t711 () (and @t704 @t710)) % 0.53/0.75 (define @t712 () (or @t705 @t711)) % 0.53/0.75 (define @t713 () (tptp.r3 @t243 @t250 @t643)) % 0.53/0.75 (define @t714 () (= @t643 @t539)) % 0.53/0.75 (define @t715 () (and @t713 @t714)) % 0.53/0.75 (define @t716 () (not @t713)) % 0.53/0.75 (define @t717 () (or @t716 @t715)) % 0.53/0.75 (define @t718 () (tptp.r2 @t243 @t643)) % 0.53/0.75 (define @t719 () (and @t718 (= @t643 @t250))) % 0.53/0.75 (define @t720 () (not @t718)) % 0.53/0.75 (define @t721 () (or @t720 @t719)) % 0.53/0.75 (define @t722 () (= @t250 @t643)) % 0.53/0.75 (define @t723 () (and @t718 @t722)) % 0.53/0.75 (define @t724 () (or @t720 @t723)) % 0.53/0.75 (define @t725 () (tptp.r3 @t243 @t243 @t403)) % 0.53/0.75 (define @t726 () (not @t725)) % 0.53/0.75 (define @t727 () (forall @t42 (or (not (forall @t406 (or @t726 (and @t725 @t404)))) (not (tptp.r3 @t243 @t243 @t29))))) % 0.53/0.75 (define @t728 () (@quantifiers_skolemize @t727 0)) % 0.53/0.75 (define @t729 () (not (tptp.r3 @t243 @t243 @t728))) % 0.53/0.75 (define @t730 () (forall @t406 (or @t726 (and @t725 (= @t403 @t728))))) % 0.53/0.75 (define @t731 () (not @t730)) % 0.53/0.75 (define @t732 () (or @t731 @t729)) % 0.53/0.75 (define @t733 () (not @t732)) % 0.53/0.75 (define @t734 () (not @t727)) % 0.53/0.75 (define @t735 () (and @t725 (= @t728 @t403))) % 0.53/0.75 (define @t736 () (or @t726 @t735)) % 0.53/0.75 (define @t737 () (forall @t406 @t736)) % 0.53/0.75 (define @t738 () (not @t737)) % 0.53/0.75 (define @t739 () (or @t738 @t729)) % 0.53/0.75 (define @t740 () (not @t739)) % 0.53/0.75 (define @t741 () (and @t699 (= @t698 @t728))) % 0.53/0.75 (define @t742 () (or @t700 @t741)) % 0.53/0.75 (define @t743 () (= @t728 @t698)) % 0.53/0.75 (define @t744 () (and @t699 @t743)) % 0.53/0.75 (define @t745 () (or @t700 @t744)) % 0.53/0.75 (define @t746 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 0.53/0.75 (define @t747 () (not (tptp.r3 @t113 @t746 @t113))) % 0.53/0.75 (define @t748 () (not (tptp.r1 @t746))) % 0.53/0.75 (define @t749 () (not (= @t113 @t113))) % 0.53/0.75 (define @t750 () (or @t749 @t748 @t747)) % 0.53/0.75 (define @t751 () (@list @t746)) % 0.53/0.75 (define @t752 () (not (tptp.r3 @t113 @t746 @t114))) % 0.53/0.75 (define @t753 () (= @t113 @t114)) % 0.53/0.75 (define @t754 () (not @t753)) % 0.53/0.75 (define @t755 () (or @t754 @t754 @t748 @t752)) % 0.53/0.75 (define @t756 () (or @t754 @t748 @t752)) % 0.53/0.75 (define @t757 () (forall @t123 @t756)) % 0.53/0.75 (define @t758 () (forall @t751 @t757)) % 0.53/0.75 (define @t759 () (forall (@list @t746 @t114) @t756)) % 0.53/0.75 (define @t760 () (@list @t114 @t746)) % 0.53/0.75 (define @t761 () (or @t748 @t752)) % 0.53/0.75 (define @t762 () (or @t761 @t754)) % 0.53/0.75 (define @t763 () (forall @t760 @t762)) % 0.53/0.75 (define @t764 () (forall @t751 @t762)) % 0.53/0.75 (define @t765 () (forall @t751 @t761)) % 0.53/0.75 (define @t766 () (or @t765 @t754)) % 0.53/0.75 (define @t767 () (forall @t120 (or (not @t118) (not @t117)))) % 0.53/0.75 (define @t768 () (not @t767)) % 0.53/0.75 (define @t769 () (and @t768 @t753)) % 0.53/0.75 (define @t770 () (forall @t123 (not @t769))) % 0.53/0.75 (define @t771 () (not @t770)) % 0.53/0.75 (define @t772 () (forall @t120 (not @t119))) % 0.53/0.75 (define @t773 () (not @t772)) % 0.53/0.75 (define @t774 () (@quantifiers_skolemize (forall @t751 (or @t748 (not (tptp.r3 @t243 @t746 @t243)))) 0)) % 0.53/0.75 (define @t775 () (tptp.r3 @t243 @t774 @t243)) % 0.53/0.75 (define @t776 () (not @t775)) % 0.53/0.75 (define @t777 () (tptp.r1 @t774)) % 0.53/0.75 (define @t778 () (not @t777)) % 0.53/0.75 (define @t779 () (or @t778 @t776)) % 0.53/0.75 (define @t780 () (@list @t779)) % 0.53/0.75 (define @t781 () (and @t777 (= @t774 @t243))) % 0.53/0.75 (define @t782 () (or @t778 @t781)) % 0.53/0.75 (define @t783 () (= @t243 @t774)) % 0.53/0.75 (define @t784 () (and @t777 @t783)) % 0.53/0.75 (define @t785 () (or @t778 @t784)) % 0.53/0.75 (define @t786 () (tptp.r3 @t243 @t243 @t243)) % 0.53/0.75 (define @t787 () (= @t243 @t728)) % 0.53/0.75 (define @t788 () (and @t786 @t787)) % 0.53/0.75 (define @t789 () (not @t786)) % 0.53/0.75 (define @t790 () (or @t789 @t788)) % 0.53/0.75 (define @t791 () (forall @t641 (or @t640 (not (tptp.r3 @t250 @t639 @t65)) @t638 (not (tptp.r3 @t250 @t243 @t637))))) % 0.53/0.75 (define @t792 () (@quantifiers_skolemize @t791 0)) % 0.53/0.75 (define @t793 () (@list @t792)) % 0.53/0.75 (define @t794 () (@quantifiers_skolemize @t791 1)) % 0.53/0.75 (define @t795 () (tptp.r3 @t250 @t794 @t792)) % 0.53/0.75 (define @t796 () (@quantifiers_skolemize @t791 2)) % 0.53/0.75 (define @t797 () (tptp.r3 @t250 @t243 @t796)) % 0.53/0.75 (define @t798 () (not @t797)) % 0.53/0.75 (define @t799 () (tptp.r2 @t796 @t792)) % 0.53/0.75 (define @t800 () (not @t799)) % 0.53/0.75 (define @t801 () (not @t795)) % 0.53/0.75 (define @t802 () (tptp.r2 @t243 @t794)) % 0.53/0.75 (define @t803 () (not @t802)) % 0.53/0.75 (define @t804 () (or @t803 @t801 @t800 @t798)) % 0.53/0.75 (define @t805 () (@list @t804)) % 0.53/0.75 (define @t806 () (and @t802 (= @t794 @t250))) % 0.53/0.75 (define @t807 () (or @t803 @t806)) % 0.53/0.75 (define @t808 () (= @t250 @t794)) % 0.53/0.75 (define @t809 () (and @t802 @t808)) % 0.53/0.75 (define @t810 () (or @t803 @t809)) % 0.53/0.75 (define @t811 () (tptp.r3 @t250 @t250 @t792)) % 0.53/0.75 (define @t812 () (= @t792 @t436)) % 0.53/0.75 (define @t813 () (and @t811 @t812)) % 0.53/0.75 (define @t814 () (not @t811)) % 0.53/0.75 (define @t815 () (or @t814 @t813)) % 0.53/0.75 (define @t816 () (tptp.r2 @t250 @t244)) % 0.53/0.75 (define @t817 () (not @t816)) % 0.53/0.75 (define @t818 () (forall @t26 (or (not (forall @t248 (or @t817 (and @t816 @t245)))) (not (tptp.r2 @t250 @t14))))) % 0.53/0.75 (define @t819 () (@quantifiers_skolemize @t818 0)) % 0.53/0.75 (define @t820 () (tptp.r2 @t250 @t819)) % 0.53/0.75 (define @t821 () (not @t820)) % 0.53/0.75 (define @t822 () (forall @t248 (or @t817 (and @t816 (= @t244 @t819))))) % 0.53/0.75 (define @t823 () (not @t822)) % 0.53/0.75 (define @t824 () (or @t823 @t821)) % 0.53/0.75 (define @t825 () (not @t824)) % 0.53/0.75 (define @t826 () (not @t818)) % 0.53/0.75 (define @t827 () (and @t816 (= @t819 @t244))) % 0.53/0.75 (define @t828 () (or @t817 @t827)) % 0.53/0.75 (define @t829 () (forall @t248 @t828)) % 0.53/0.75 (define @t830 () (not @t829)) % 0.53/0.75 (define @t831 () (or @t830 @t821)) % 0.53/0.75 (define @t832 () (not @t831)) % 0.53/0.75 (define @t833 () (@list @t824)) % 0.53/0.75 (define @t834 () (tptp.r2 @t250 @t792)) % 0.53/0.75 (define @t835 () (and @t834 (= @t792 @t819))) % 0.53/0.75 (define @t836 () (not @t834)) % 0.53/0.75 (define @t837 () (or @t836 @t835)) % 0.53/0.75 (define @t838 () (= @t819 @t792)) % 0.53/0.75 (define @t839 () (and @t834 @t838)) % 0.53/0.75 (define @t840 () (or @t836 @t839)) % 0.53/0.75 (define @t841 () (tptp.r3 @t250 @t243 @t403)) % 0.53/0.75 (define @t842 () (not @t841)) % 0.53/0.75 (define @t843 () (forall @t42 (or (not (forall @t406 (or @t842 (and @t841 @t404)))) (not (tptp.r3 @t250 @t243 @t29))))) % 0.53/0.75 (define @t844 () (@quantifiers_skolemize @t843 0)) % 0.53/0.75 (define @t845 () (not (tptp.r3 @t250 @t243 @t844))) % 0.53/0.75 (define @t846 () (forall @t406 (or @t842 (and @t841 (= @t403 @t844))))) % 0.53/0.75 (define @t847 () (not @t846)) % 0.53/0.75 (define @t848 () (or @t847 @t845)) % 0.53/0.75 (define @t849 () (not @t848)) % 0.53/0.75 (define @t850 () (not @t843)) % 0.53/0.75 (define @t851 () (and @t841 (= @t844 @t403))) % 0.53/0.75 (define @t852 () (or @t842 @t851)) % 0.53/0.75 (define @t853 () (forall @t406 @t852)) % 0.53/0.75 (define @t854 () (not @t853)) % 0.53/0.75 (define @t855 () (or @t854 @t845)) % 0.53/0.75 (define @t856 () (not @t855)) % 0.53/0.75 (define @t857 () (and @t797 (= @t796 @t844))) % 0.53/0.75 (define @t858 () (or @t798 @t857)) % 0.53/0.75 (define @t859 () (= @t844 @t796)) % 0.53/0.75 (define @t860 () (and @t797 @t859)) % 0.53/0.75 (define @t861 () (or @t798 @t860)) % 0.53/0.75 (define @t862 () (@quantifiers_skolemize (forall @t751 (or @t748 (not (tptp.r3 @t250 @t746 @t250)))) 0)) % 0.53/0.75 (define @t863 () (tptp.r3 @t250 @t862 @t250)) % 0.53/0.75 (define @t864 () (not @t863)) % 0.53/0.75 (define @t865 () (tptp.r1 @t862)) % 0.53/0.75 (define @t866 () (not @t865)) % 0.53/0.75 (define @t867 () (or @t866 @t864)) % 0.53/0.75 (define @t868 () (@list @t867)) % 0.53/0.75 (define @t869 () (and @t865 (= @t862 @t243))) % 0.53/0.75 (define @t870 () (or @t866 @t869)) % 0.53/0.75 (define @t871 () (= @t243 @t862)) % 0.53/0.75 (define @t872 () (and @t865 @t871)) % 0.53/0.75 (define @t873 () (or @t866 @t872)) % 0.53/0.75 (define @t874 () (tptp.r3 @t250 @t243 @t250)) % 0.53/0.75 (define @t875 () (= @t250 @t844)) % 0.53/0.75 (define @t876 () (and @t874 @t875)) % 0.53/0.75 (define @t877 () (not @t874)) % 0.53/0.75 (define @t878 () (or @t877 @t876)) % 0.53/0.75 (assume @p1 @t13) % 0.53/0.75 (assume @p2 @t28) % 0.53/0.75 (assume @p3 @t44) % 0.53/0.75 (assume @p4 @t60) % 0.53/0.75 (assume @p5 @t84) % 0.53/0.75 (assume @p6 @t108) % 0.53/0.75 (assume @p7 (forall (@list @t110 @t109) (or (forall (@list @t111) (or (forall (@list @t112) (or (not (tptp.r2 @t110 @t112)) (not (= @t112 @t111)))) (not (tptp.r2 @t109 @t111)))) (= @t110 @t109)))) % 0.53/0.75 (assume @p8 @t125) % 0.53/0.75 (assume @p9 @t143) % 0.53/0.75 (assume @p10 (forall (@list @t145) (or (exists (@list @t147) (and (tptp.r1 @t147) (= @t145 @t147))) (exists (@list @t146 @t144) (and (tptp.r2 @t146 @t144) (= @t145 @t144)))))) % 0.53/0.75 (assume @p11 (forall (@list @t149 @t148) (or (forall (@list @t150) (or (not (tptp.r1 @t150)) (not (= @t150 @t148)))) (not (tptp.r2 @t149 @t148))))) % 0.53/0.75 (assume @p12 @t164) % 0.53/0.75 (assume @p13 true) % 0.53/0.75 (step @p14 :rule evaluate :args ((= true false))) % 0.53/0.75 (step @p15 :rule bool-double-not-elim :args ((forall @t172 @t171))) % 0.53/0.75 (step @p16 :rule aci_norm :args ((= @t174 @t171))) % 0.53/0.75 (step @p17 :rule cong :premises (@p16) :args (@t175)) % 0.53/0.75 (step @p18 :rule quant-merge-prenex :args ((= (forall @t162 @t177) @t175))) % 0.53/0.75 (step @p19 :rule alpha_equiv :args (@t178 (@list @t165 @t166) @t181)) % 0.53/0.75 (step @p20 :rule refl :args (@t170)) % 0.53/0.75 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t182)) % 0.53/0.75 (step @p22 :rule quant-miniscope-or :args ((= @t177 @t182))) % 0.53/0.75 (step @p23 :rule trans :premises (@p22 @p21)) % 0.53/0.75 (step @p24 :rule symm :premises (@p23)) % 0.53/0.75 (step @p25 :rule cong :premises (@p24) :args ((forall @t162 (or @t170 @t188)))) % 0.53/0.75 (step @p26 :rule trans :premises (@p25 @p18)) % 0.53/0.75 (step @p27 :rule trans :premises (@p26 @p17)) % 0.53/0.75 (step @p28 :rule bool-double-not-elim :args (@t188)) % 0.53/0.75 (step @p29 :rule nary_cong :premises (@p20 @p28) :args ((or @t170 (not @t189)))) % 0.53/0.75 (step @p30 :rule bool-and-de-morgan :args (@t160 @t189 true)) % 0.53/0.75 (step @p31 :rule trans :premises (@p30 @p29)) % 0.53/0.75 (step @p32 :rule cong :premises (@p31) :args (@t191)) % 0.53/0.75 (step @p33 :rule trans :premises (@p32 @p27)) % 0.53/0.75 (step @p34 :rule cong :premises (@p33) :args (@t192)) % 0.53/0.75 (step @p35 :rule exists-elim :args ((= (exists @t162 @t190) @t192))) % 0.53/0.75 (step @p36 :rule trans :premises (@p35 @p34)) % 0.53/0.75 (step @p37 :rule aci_norm :args ((= (or false @t185 @t184 @t183) @t186))) % 0.53/0.75 (step @p38 :rule refl :args (@t183)) % 0.53/0.75 (step @p39 :rule refl :args (@t184)) % 0.53/0.75 (step @p40 :rule refl :args (@t185)) % 0.53/0.75 (step @p41 :rule evaluate :args ((not true))) % 0.53/0.75 (step @p42 :rule eq-refl :args (@t94)) % 0.53/0.75 (step @p43 :rule cong :premises (@p42) :args (@t193)) % 0.53/0.75 (step @p44 :rule trans :premises (@p43 @p41)) % 0.53/0.75 (step @p45 :rule nary_cong :premises (@p44 @p40 @p39 @p38) :args (@t194)) % 0.53/0.75 (step @p46 :rule trans :premises (@p45 @p37)) % 0.53/0.75 (step @p47 :rule cong :premises (@p46) :args ((forall @t187 @t194))) % 0.53/0.75 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t82 @t198) @t194))) % 0.53/0.75 (step @p49 :rule aci_norm :args ((= @t199 @t198))) % 0.53/0.75 (step @p50 :rule cong :premises (@p49) :args (@t200)) % 0.53/0.75 (step @p51 :rule trans :premises (@p50 @p48)) % 0.53/0.75 (step @p52 :rule cong :premises (@p51) :args (@t201)) % 0.53/0.75 (step @p53 :rule quant-merge-prenex :args ((= @t201 @t202))) % 0.53/0.75 (step @p54 :rule symm :premises (@p53)) % 0.53/0.75 (step @p55 :rule quant_var_reordering :args ((= (forall @t203 @t199) @t202))) % 0.53/0.75 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.53/0.75 (step @p57 :rule trans :premises (@p56 @p47)) % 0.53/0.75 (step @p58 :rule aci_norm :args ((= @t205 @t199))) % 0.53/0.75 (step @p59 :rule cong :premises (@p58) :args (@t206)) % 0.53/0.75 (step @p60 :rule trans :premises (@p59 @p57)) % 0.53/0.75 (step @p61 :rule quant-merge-prenex :args ((= (forall @t82 @t207) @t206))) % 0.53/0.75 (step @p62 :rule alpha_equiv :args (@t208 @t181 (@list @t70 @t209))) % 0.53/0.75 (step @p63 :rule refl :args (@t197)) % 0.53/0.75 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t210)) % 0.53/0.75 (step @p65 :rule quant-miniscope-or :args ((= @t207 @t210))) % 0.53/0.75 (step @p66 :rule trans :premises (@p65 @p64)) % 0.53/0.75 (step @p67 :rule symm :premises (@p66)) % 0.53/0.75 (step @p68 :rule cong :premises (@p67) :args ((forall @t82 (or @t197 @t216)))) % 0.53/0.75 (step @p69 :rule trans :premises (@p68 @p61)) % 0.53/0.75 (step @p70 :rule trans :premises (@p69 @p60)) % 0.53/0.75 (step @p71 :rule bool-double-not-elim :args (@t216)) % 0.53/0.75 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((or @t197 (not @t217)))) % 0.53/0.75 (step @p73 :rule bool-and-de-morgan :args (@t196 @t217 true)) % 0.53/0.75 (step @p74 :rule trans :premises (@p73 @p72)) % 0.53/0.75 (step @p75 :rule cong :premises (@p74) :args (@t219)) % 0.53/0.75 (step @p76 :rule trans :premises (@p75 @p70)) % 0.53/0.75 (step @p77 :rule cong :premises (@p76) :args (@t220)) % 0.53/0.75 (step @p78 :rule exists-elim :args ((= (exists @t82 @t218) @t220))) % 0.53/0.75 (step @p79 :rule trans :premises (@p78 @p77)) % 0.53/0.75 (step @p80 :rule aci_norm :args ((= @t222 @t214))) % 0.53/0.75 (step @p81 :rule cong :premises (@p80) :args (@t223)) % 0.53/0.75 (step @p82 :rule quant-merge-prenex :args ((= (forall @t79 @t225) @t223))) % 0.53/0.75 (step @p83 :rule alpha_equiv :args (@t226 (@list @t209) @t227)) % 0.53/0.75 (step @p84 :rule refl :args (@t213)) % 0.53/0.75 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t228)) % 0.53/0.75 (step @p86 :rule quant-miniscope-or :args ((= @t225 @t228))) % 0.53/0.75 (step @p87 :rule trans :premises (@p86 @p85)) % 0.53/0.75 (step @p88 :rule symm :premises (@p87)) % 0.53/0.75 (step @p89 :rule cong :premises (@p88) :args ((forall @t79 (or @t213 @t229)))) % 0.53/0.75 (step @p90 :rule trans :premises (@p89 @p82)) % 0.53/0.75 (step @p91 :rule trans :premises (@p90 @p81)) % 0.53/0.75 (step @p92 :rule bool-double-not-elim :args (@t229)) % 0.53/0.75 (step @p93 :rule nary_cong :premises (@p84 @p92) :args ((or @t213 (not @t230)))) % 0.53/0.75 (step @p94 :rule bool-and-de-morgan :args (@t155 @t230 true)) % 0.53/0.75 (step @p95 :rule trans :premises (@p94 @p93)) % 0.53/0.75 (step @p96 :rule cong :premises (@p95) :args (@t232)) % 0.53/0.75 (step @p97 :rule trans :premises (@p96 @p91)) % 0.53/0.75 (step @p98 :rule cong :premises (@p97) :args (@t233)) % 0.53/0.75 (step @p99 :rule exists-elim :args ((= (exists @t79 @t231) @t233))) % 0.53/0.75 (step @p100 :rule trans :premises (@p99 @p98)) % 0.53/0.75 (step @p101 :rule bool-and-de-morgan :args (@t152 @t151 true)) % 0.53/0.75 (step @p102 :rule cong :premises (@p101) :args (@t234)) % 0.53/0.75 (step @p103 :rule cong :premises (@p102) :args (@t235)) % 0.53/0.75 (step @p104 :rule exists-elim :args ((= @t154 @t235))) % 0.53/0.75 (step @p105 :rule trans :premises (@p104 @p103)) % 0.53/0.75 (step @p106 :rule refl :args (@t155)) % 0.53/0.75 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t156)) % 0.53/0.75 (step @p108 :rule cong :premises (@p107) :args (@t157)) % 0.53/0.75 (step @p109 :rule trans :premises (@p108 @p100)) % 0.53/0.75 (step @p110 :rule eq-symm :args (@t94 @t65)) % 0.53/0.75 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t158)) % 0.53/0.75 (step @p112 :rule cong :premises (@p111) :args (@t159)) % 0.53/0.75 (step @p113 :rule trans :premises (@p112 @p79)) % 0.53/0.75 (step @p114 :rule refl :args (@t160)) % 0.53/0.75 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t161)) % 0.53/0.75 (step @p116 :rule cong :premises (@p115) :args (@t163)) % 0.53/0.75 (step @p117 :rule trans :premises (@p116 @p36)) % 0.53/0.75 (step @p118 :rule cong :premises (@p117) :args (@t164)) % 0.53/0.75 (step @p119 :rule trans :premises (@p118 @p15)) % 0.53/0.75 (step @p120 :rule eq_resolve :premises (@p12 @p119)) % 0.53/0.75 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t250 @t258 @t257 @t250 @t243))) % 0.53/0.75 (step @p122 :rule aci_norm :args ((= @t265 (or @t262 @t261 @t260 @t259)))) % 0.53/0.75 (step @p123 :rule cong :premises (@p122) :args (@t266)) % 0.53/0.75 (step @p124 :rule quant-merge-prenex :args ((= (forall @t106 @t267) @t266))) % 0.53/0.75 (step @p125 :rule alpha_equiv :args (@t268 (@list @t251) @t227)) % 0.53/0.75 (step @p126 :rule alpha_equiv :args (@t269 (@list @t253) @t271)) % 0.53/0.75 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t272)) % 0.53/0.75 (step @p128 :rule quant-miniscope-or :args ((= @t267 @t272))) % 0.53/0.75 (step @p129 :rule trans :premises (@p128 @p127)) % 0.53/0.75 (step @p130 :rule symm :premises (@p129)) % 0.53/0.75 (step @p131 :rule cong :premises (@p130) :args ((forall @t106 (or @t278 @t273)))) % 0.53/0.75 (step @p132 :rule trans :premises (@p131 @p124)) % 0.53/0.75 (step @p133 :rule trans :premises (@p132 @p123)) % 0.53/0.75 (step @p134 :rule bool-double-not-elim :args (@t273)) % 0.53/0.75 (step @p135 :rule bool-double-not-elim :args (@t278)) % 0.53/0.75 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t280) (not @t279)))) % 0.53/0.75 (step @p137 :rule bool-and-de-morgan :args (@t280 @t279 true)) % 0.53/0.75 (step @p138 :rule trans :premises (@p137 @p136)) % 0.53/0.75 (step @p139 :rule cong :premises (@p138) :args (@t282)) % 0.53/0.75 (step @p140 :rule trans :premises (@p139 @p133)) % 0.53/0.75 (step @p141 :rule cong :premises (@p140) :args (@t283)) % 0.53/0.75 (step @p142 :rule exists-elim :args ((= (exists @t106 @t281) @t283))) % 0.53/0.75 (step @p143 :rule trans :premises (@p142 @p141)) % 0.53/0.75 (step @p144 :rule bool-and-de-morgan :args (@t90 @t88 true)) % 0.53/0.75 (step @p145 :rule cong :premises (@p144) :args (@t284)) % 0.53/0.75 (step @p146 :rule cong :premises (@p145) :args (@t285)) % 0.53/0.75 (step @p147 :rule exists-elim :args ((= @t93 @t285))) % 0.53/0.75 (step @p148 :rule trans :premises (@p147 @p146)) % 0.53/0.75 (step @p149 :rule aci_norm :args ((= (or false @t275 @t274) @t276))) % 0.53/0.75 (step @p150 :rule refl :args (@t274)) % 0.53/0.75 (step @p151 :rule refl :args (@t275)) % 0.53/0.75 (step @p152 :rule eq-refl :args (@t89)) % 0.53/0.75 (step @p153 :rule cong :premises (@p152) :args (@t286)) % 0.53/0.75 (step @p154 :rule trans :premises (@p153 @p41)) % 0.53/0.75 (step @p155 :rule nary_cong :premises (@p154 @p151 @p150) :args (@t287)) % 0.53/0.75 (step @p156 :rule trans :premises (@p155 @p149)) % 0.53/0.75 (step @p157 :rule cong :premises (@p156) :args ((forall @t277 @t287))) % 0.53/0.75 (step @p158 :rule quant-var-elim-eq :args ((= (forall @t103 (or (not @t95) @t290 @t275 @t288)) @t287))) % 0.53/0.75 (step @p159 :rule refl :args (@t288)) % 0.53/0.75 (step @p160 :rule refl :args (@t275)) % 0.53/0.75 (step @p161 :rule refl :args (@t290)) % 0.53/0.75 (step @p162 :rule eq-symm :args (@t89 @t94)) % 0.53/0.75 (step @p163 :rule cong :premises (@p162) :args (@t290)) % 0.53/0.75 (step @p164 :rule nary_cong :premises (@p163 @p161 @p160 @p159) :args (@t291)) % 0.53/0.75 (step @p165 :rule aci_norm :args ((= @t292 @t291))) % 0.53/0.75 (step @p166 :rule trans :premises (@p165 @p164)) % 0.53/0.75 (step @p167 :rule cong :premises (@p166) :args 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true_elim :premises (@p1438)) % 0.53/0.75 (step @p1440 :rule cnf_or_pos :args (@t840)) % 0.53/0.75 (step @p1441 :rule reordering :premises (@p1440) :args ((or @t836 @t839 (not @t840)))) % 0.53/0.75 (step @p1442 :rule chain_m_resolution :premises (@p1441 @p1439 @p1326) :args (@t839 @t508 (@list @t834 @t840))) % 0.53/0.75 (step @p1443 :rule cnf_and_pos :args (@t839 1)) % 0.53/0.75 (step @p1444 :rule reordering :premises (@p1443) :args ((or @t838 (not @t839)))) % 0.53/0.75 (step @p1445 :rule chain_m_resolution :premises (@p1444 @p1442) :args (@t838 @t456 (@list @t839))) % 0.53/0.75 (step @p1446 :rule trans :premises (@p1445 @p1281 @p1235)) % 0.53/0.75 (step @p1447 :rule cong :premises (@p486 @p1446) :args (@t820)) % 0.53/0.75 (step @p1448 :rule bool-double-not-elim :args (@t820)) % 0.53/0.75 (step @p1449 :rule nary_cong :premises (@p1307 @p1448) :args ((or @t824 (not @t821)))) % 0.53/0.75 (step @p1450 :rule cnf_or_neg :args (@t824 1)) % 0.53/0.75 (step @p1451 :rule eq_resolve :premises (@p1450 @p1449)) % 0.53/0.75 (step @p1452 :rule reordering :premises (@p1451) :args ((or @t820 @t824))) % 0.53/0.75 (step @p1453 :rule chain_m_resolution :premises (@p1452 @p1305) :args (@t820 @t319 @t833)) % 0.53/0.75 (step @p1454 :rule true_intro :premises (@p1453)) % 0.53/0.75 (step @p1455 :rule symm :premises (@p1454)) % 0.53/0.75 (step @p1456 :rule trans :premises (@p1455 @p1447 @p382)) % 0.53/0.75 (step @p1457 false :rule eq_resolve :premises (@p1456 @p14)) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------