%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN071+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 : n008.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 08:42:53 AM UTC 2026 % Result : Theorem 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN071+2 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:39:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.44/0.66 (define @t1 () (@var "Y24" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "X19" $$unsorted)) % 0.44/0.66 (define @t3 () (= @t2 @t1)) % 0.44/0.66 (define @t4 () (tptp.r1 @t2)) % 0.44/0.66 (define @t5 () (and @t4 @t3)) % 0.44/0.66 (define @t6 () (not @t3)) % 0.44/0.66 (define @t7 () (not @t4)) % 0.44/0.66 (define @t8 () (and @t7 @t6)) % 0.44/0.66 (define @t9 () (or @t8 @t5)) % 0.44/0.66 (define @t10 () (@list @t2)) % 0.44/0.66 (define @t11 () (forall @t10 @t9)) % 0.44/0.66 (define @t12 () (@list @t1)) % 0.44/0.66 (define @t13 () (exists @t12 @t11)) % 0.44/0.66 (define @t14 () (@var "Y21" $$unsorted)) % 0.44/0.66 (define @t15 () (@var "X12" $$unsorted)) % 0.44/0.66 (define @t16 () (= @t15 @t14)) % 0.44/0.66 (define @t17 () (@var "X11" $$unsorted)) % 0.44/0.66 (define @t18 () (tptp.r2 @t17 @t15)) % 0.44/0.66 (define @t19 () (and @t18 @t16)) % 0.44/0.66 (define @t20 () (not @t16)) % 0.44/0.66 (define @t21 () (not @t18)) % 0.44/0.66 (define @t22 () (and @t21 @t20)) % 0.44/0.66 (define @t23 () (or @t22 @t19)) % 0.44/0.66 (define @t24 () (@list @t15)) % 0.44/0.66 (define @t25 () (forall @t24 @t23)) % 0.44/0.66 (define @t26 () (@list @t14)) % 0.44/0.66 (define @t27 () (exists @t26 @t25)) % 0.44/0.66 (define @t28 () (forall (@list @t17) @t27)) % 0.44/0.66 (define @t29 () (@var "Y22" $$unsorted)) % 0.44/0.66 (define @t30 () (@var "X15" $$unsorted)) % 0.44/0.66 (define @t31 () (= @t30 @t29)) % 0.44/0.66 (define @t32 () (@var "X14" $$unsorted)) % 0.44/0.66 (define @t33 () (@var "X13" $$unsorted)) % 0.44/0.66 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.44/0.66 (define @t35 () (and @t34 @t31)) % 0.44/0.66 (define @t36 () (not @t31)) % 0.44/0.66 (define @t37 () (not @t34)) % 0.44/0.66 (define @t38 () (and @t37 @t36)) % 0.44/0.66 (define @t39 () (or @t38 @t35)) % 0.44/0.66 (define @t40 () (@list @t30)) % 0.44/0.66 (define @t41 () (forall @t40 @t39)) % 0.44/0.66 (define @t42 () (@list @t29)) % 0.44/0.66 (define @t43 () (exists @t42 @t41)) % 0.44/0.66 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.44/0.66 (define @t45 () (@var "Y23" $$unsorted)) % 0.44/0.66 (define @t46 () (@var "X18" $$unsorted)) % 0.44/0.66 (define @t47 () (= @t46 @t45)) % 0.44/0.66 (define @t48 () (@var "X17" $$unsorted)) % 0.44/0.66 (define @t49 () (@var "X16" $$unsorted)) % 0.44/0.66 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.44/0.66 (define @t51 () (and @t50 @t47)) % 0.44/0.66 (define @t52 () (not @t47)) % 0.44/0.66 (define @t53 () (not @t50)) % 0.44/0.66 (define @t54 () (and @t53 @t52)) % 0.44/0.66 (define @t55 () (or @t54 @t51)) % 0.44/0.66 (define @t56 () (@list @t46)) % 0.44/0.66 (define @t57 () (forall @t56 @t55)) % 0.44/0.66 (define @t58 () (@list @t45)) % 0.44/0.66 (define @t59 () (exists @t58 @t57)) % 0.44/0.66 (define @t60 () (forall (@list @t49 @t48) @t59)) % 0.44/0.66 (define @t61 () (@var "Y7" $$unsorted)) % 0.44/0.66 (define @t62 () (@var "X8" $$unsorted)) % 0.44/0.66 (define @t63 () (@var "X1" $$unsorted)) % 0.44/0.66 (define @t64 () (tptp.r3 @t63 @t62 @t61)) % 0.44/0.66 (define @t65 () (@var "Y4" $$unsorted)) % 0.44/0.66 (define @t66 () (tptp.r2 @t61 @t65)) % 0.44/0.66 (define @t67 () (and @t66 @t64)) % 0.44/0.66 (define @t68 () (@list @t61)) % 0.44/0.66 (define @t69 () (exists @t68 @t67)) % 0.44/0.66 (define @t70 () (@var "Y5" $$unsorted)) % 0.44/0.66 (define @t71 () (= @t70 @t65)) % 0.44/0.66 (define @t72 () (@var "Y15" $$unsorted)) % 0.44/0.66 (define @t73 () (tptp.r3 @t63 @t72 @t70)) % 0.44/0.66 (define @t74 () (tptp.r2 @t62 @t72)) % 0.44/0.66 (define @t75 () (and @t74 @t73)) % 0.44/0.66 (define @t76 () (@list @t72)) % 0.44/0.66 (define @t77 () (exists @t76 @t75)) % 0.44/0.66 (define @t78 () (and @t77 @t71)) % 0.44/0.66 (define @t79 () (@list @t70)) % 0.44/0.66 (define @t80 () (exists @t79 @t78)) % 0.44/0.66 (define @t81 () (and @t80 @t69)) % 0.44/0.66 (define @t82 () (@list @t65)) % 0.44/0.66 (define @t83 () (exists @t82 @t81)) % 0.44/0.66 (define @t84 () (forall (@list @t63 @t62) @t83)) % 0.44/0.66 (define @t85 () (@var "Y6" $$unsorted)) % 0.44/0.66 (define @t86 () (@var "X9" $$unsorted)) % 0.44/0.66 (define @t87 () (@var "X2" $$unsorted)) % 0.44/0.66 (define @t88 () (tptp.r4 @t87 @t86 @t85)) % 0.44/0.66 (define @t89 () (@var "Y2" $$unsorted)) % 0.44/0.66 (define @t90 () (tptp.r3 @t85 @t87 @t89)) % 0.44/0.66 (define @t91 () (and @t90 @t88)) % 0.44/0.66 (define @t92 () (@list @t85)) % 0.44/0.66 (define @t93 () (exists @t92 @t91)) % 0.44/0.66 (define @t94 () (@var "Y3" $$unsorted)) % 0.44/0.66 (define @t95 () (= @t94 @t89)) % 0.44/0.66 (define @t96 () (@var "Y14" $$unsorted)) % 0.44/0.66 (define @t97 () (tptp.r4 @t87 @t96 @t94)) % 0.44/0.66 (define @t98 () (tptp.r2 @t86 @t96)) % 0.44/0.66 (define @t99 () (and @t98 @t97)) % 0.44/0.66 (define @t100 () (@list @t96)) % 0.44/0.66 (define @t101 () (exists @t100 @t99)) % 0.44/0.66 (define @t102 () (and @t101 @t95)) % 0.44/0.66 (define @t103 () (@list @t94)) % 0.44/0.66 (define @t104 () (exists @t103 @t102)) % 0.44/0.66 (define @t105 () (and @t104 @t93)) % 0.44/0.66 (define @t106 () (@list @t89)) % 0.44/0.66 (define @t107 () (exists @t106 @t105)) % 0.44/0.66 (define @t108 () (forall (@list @t87 @t86) @t107)) % 0.44/0.66 (define @t109 () (@var "X10" $$unsorted)) % 0.44/0.66 (define @t110 () (@var "X3" $$unsorted)) % 0.44/0.66 (define @t111 () (@var "Y12" $$unsorted)) % 0.44/0.66 (define @t112 () (@var "Y13" $$unsorted)) % 0.44/0.66 (define @t113 () (@var "X4" $$unsorted)) % 0.44/0.66 (define @t114 () (@var "Y9" $$unsorted)) % 0.44/0.66 (define @t115 () (= @t114 @t113)) % 0.44/0.66 (define @t116 () (@var "Y16" $$unsorted)) % 0.44/0.66 (define @t117 () (tptp.r3 @t113 @t116 @t114)) % 0.44/0.66 (define @t118 () (tptp.r1 @t116)) % 0.44/0.66 (define @t119 () (and @t118 @t117)) % 0.44/0.66 (define @t120 () (@list @t116)) % 0.44/0.66 (define @t121 () (exists @t120 @t119)) % 0.44/0.66 (define @t122 () (and @t121 @t115)) % 0.44/0.66 (define @t123 () (@list @t114)) % 0.44/0.66 (define @t124 () (exists @t123 @t122)) % 0.44/0.66 (define @t125 () (forall (@list @t113) @t124)) % 0.44/0.66 (define @t126 () (@var "Y18" $$unsorted)) % 0.44/0.66 (define @t127 () (@var "Y8" $$unsorted)) % 0.44/0.66 (define @t128 () (= @t127 @t126)) % 0.44/0.66 (define @t129 () (tptp.r1 @t126)) % 0.44/0.66 (define @t130 () (and @t129 @t128)) % 0.44/0.66 (define @t131 () (@list @t126)) % 0.44/0.66 (define @t132 () (exists @t131 @t130)) % 0.44/0.66 (define @t133 () (@var "Y17" $$unsorted)) % 0.44/0.66 (define @t134 () (@var "X5" $$unsorted)) % 0.44/0.66 (define @t135 () (tptp.r4 @t134 @t133 @t127)) % 0.44/0.66 (define @t136 () (tptp.r1 @t133)) % 0.44/0.66 (define @t137 () (and @t136 @t135)) % 0.44/0.66 (define @t138 () (@list @t133)) % 0.44/0.66 (define @t139 () (exists @t138 @t137)) % 0.44/0.66 (define @t140 () (and @t139 @t132)) % 0.44/0.66 (define @t141 () (@list @t127)) % 0.44/0.66 (define @t142 () (exists @t141 @t140)) % 0.44/0.66 (define @t143 () (forall (@list @t134) @t142)) % 0.44/0.66 (define @t144 () (@var "Y11" $$unsorted)) % 0.44/0.66 (define @t145 () (@var "X6" $$unsorted)) % 0.44/0.66 (define @t146 () (@var "Y1" $$unsorted)) % 0.44/0.66 (define @t147 () (@var "Y19" $$unsorted)) % 0.44/0.66 (define @t148 () (@var "Y10" $$unsorted)) % 0.44/0.66 (define @t149 () (@var "X7" $$unsorted)) % 0.44/0.66 (define @t150 () (@var "Y20" $$unsorted)) % 0.44/0.66 (define @t151 () (tptp.r2 @t70 @t94)) % 0.44/0.66 (define @t152 () (tptp.r1 @t70)) % 0.44/0.66 (define @t153 () (and @t152 @t151)) % 0.44/0.66 (define @t154 () (exists @t79 @t153)) % 0.44/0.66 (define @t155 () (and (= @t146 @t94) @t154)) % 0.44/0.66 (define @t156 () (exists @t103 @t155)) % 0.44/0.66 (define @t157 () (tptp.r2 @t65 @t89)) % 0.44/0.66 (define @t158 () (tptp.r1 @t65)) % 0.44/0.66 (define @t159 () (and @t158 @t157)) % 0.44/0.66 (define @t160 () (exists @t82 @t159)) % 0.44/0.66 (define @t161 () (tptp.r4 @t89 @t89 @t146)) % 0.44/0.66 (define @t162 () (and @t161 @t160)) % 0.44/0.66 (define @t163 () (exists @t106 @t162)) % 0.44/0.66 (define @t164 () (and @t163 @t156)) % 0.44/0.66 (define @t165 () (@list @t146)) % 0.44/0.66 (define @t166 () (exists @t165 @t164)) % 0.44/0.66 (define @t167 () (not @t166)) % 0.44/0.66 (define @t168 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 0.44/0.66 (define @t169 () (not (tptp.r2 @t168 @t146))) % 0.44/0.66 (define @t170 () (not (tptp.r1 @t168))) % 0.44/0.66 (define @t171 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 0.44/0.66 (define @t172 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 0.44/0.66 (define @t173 () (not (tptp.r2 @t172 @t171))) % 0.44/0.66 (define @t174 () (not (tptp.r1 @t172))) % 0.44/0.66 (define @t175 () (not (tptp.r4 @t171 @t171 @t146))) % 0.44/0.66 (define @t176 () (or @t175 @t174 @t173 @t170 @t169)) % 0.44/0.66 (define @t177 () (@list @t146 @t171 @t172 @t168)) % 0.44/0.66 (define @t178 () (or @t170 @t169)) % 0.44/0.66 (define @t179 () (or @t175 @t174 @t173)) % 0.44/0.66 (define @t180 () (or @t179 @t178)) % 0.44/0.66 (define @t181 () (forall @t177 @t180)) % 0.44/0.66 (define @t182 () (forall (@list @t171 @t172 @t168) @t180)) % 0.44/0.66 (define @t183 () (forall (@list @t168) @t178)) % 0.44/0.66 (define @t184 () (@var "BOUND_VARIABLE_8178" $$unsorted)) % 0.44/0.66 (define @t185 () (@list @t184)) % 0.44/0.66 (define @t186 () (forall (@list @t171 @t172) @t179)) % 0.44/0.66 (define @t187 () (@var "BOUND_VARIABLE_8148" $$unsorted)) % 0.44/0.66 (define @t188 () (or @t186 @t183)) % 0.44/0.66 (define @t189 () (not (tptp.r2 @t184 @t146))) % 0.44/0.66 (define @t190 () (not (tptp.r1 @t184))) % 0.44/0.66 (define @t191 () (or @t190 @t189)) % 0.44/0.66 (define @t192 () (@list @t184)) % 0.44/0.66 (define @t193 () (forall @t192 @t191)) % 0.44/0.66 (define @t194 () (not (tptp.r2 @t187 @t89))) % 0.44/0.66 (define @t195 () (not (tptp.r1 @t187))) % 0.44/0.66 (define @t196 () (not @t161)) % 0.44/0.66 (define @t197 () (or @t196 @t195 @t194)) % 0.44/0.66 (define @t198 () (@list @t89 @t187)) % 0.44/0.66 (define @t199 () (forall @t198 @t197)) % 0.44/0.66 (define @t200 () (not @t193)) % 0.44/0.66 (define @t201 () (not @t199)) % 0.44/0.66 (define @t202 () (and @t201 @t200)) % 0.44/0.66 (define @t203 () (forall @t165 (not @t202))) % 0.44/0.66 (define @t204 () (not @t203)) % 0.44/0.66 (define @t205 () (not (= @t146 @t146))) % 0.44/0.66 (define @t206 () (or @t205 @t190 @t189)) % 0.44/0.66 (define @t207 () (not (tptp.r2 @t184 @t94))) % 0.44/0.66 (define @t208 () (= @t94 @t146)) % 0.44/0.66 (define @t209 () (not @t208)) % 0.44/0.66 (define @t210 () (or @t209 @t209 @t190 @t207)) % 0.44/0.66 (define @t211 () (or @t209 @t190 @t207)) % 0.44/0.66 (define @t212 () (forall @t103 @t211)) % 0.44/0.66 (define @t213 () (forall @t192 @t212)) % 0.44/0.66 (define @t214 () (forall (@list @t184 @t94) @t211)) % 0.44/0.66 (define @t215 () (@list @t94 @t184)) % 0.44/0.66 (define @t216 () (or @t190 @t207)) % 0.44/0.66 (define @t217 () (or @t209 @t216)) % 0.44/0.66 (define @t218 () (forall @t215 @t217)) % 0.44/0.66 (define @t219 () (forall @t192 @t217)) % 0.44/0.66 (define @t220 () (forall @t192 @t216)) % 0.44/0.66 (define @t221 () (or @t209 @t220)) % 0.44/0.66 (define @t222 () (forall @t79 (or (not @t152) (not @t151)))) % 0.44/0.66 (define @t223 () (not @t222)) % 0.44/0.66 (define @t224 () (and @t208 @t223)) % 0.44/0.66 (define @t225 () (forall @t103 (not @t224))) % 0.44/0.66 (define @t226 () (not @t225)) % 0.44/0.66 (define @t227 () (forall @t79 (not @t153))) % 0.44/0.66 (define @t228 () (not @t227)) % 0.44/0.66 (define @t229 () (or @t195 @t194)) % 0.44/0.66 (define @t230 () (or @t196 @t229)) % 0.44/0.66 (define @t231 () (forall @t198 @t230)) % 0.44/0.66 (define @t232 () (@list @t187)) % 0.44/0.66 (define @t233 () (forall @t232 @t230)) % 0.44/0.66 (define @t234 () (forall @t232 @t229)) % 0.44/0.66 (define @t235 () (or @t196 @t234)) % 0.44/0.66 (define @t236 () (forall @t82 (or (not @t158) (not @t157)))) % 0.44/0.66 (define @t237 () (not @t236)) % 0.44/0.66 (define @t238 () (and @t161 @t237)) % 0.44/0.66 (define @t239 () (forall @t106 (not @t238))) % 0.44/0.66 (define @t240 () (not @t239)) % 0.44/0.66 (define @t241 () (forall @t82 (not @t159))) % 0.44/0.66 (define @t242 () (not @t241)) % 0.44/0.66 (define @t243 () (tptp.r1 @t1)) % 0.44/0.66 (define @t244 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 0.44/0.66 (define @t245 () (tptp.r1 @t244)) % 0.44/0.66 (define @t246 () (not @t245)) % 0.44/0.66 (define @t247 () (@list @t244)) % 0.44/0.66 (define @t248 () (forall @t247 (or @t246 (and @t245 (= @t1 @t244))))) % 0.44/0.66 (define @t249 () (forall @t12 (or (not @t248) (not @t243)))) % 0.44/0.66 (define @t250 () (@quantifiers_skolemize @t249 0)) % 0.44/0.66 (define @t251 () (@var "BOUND_VARIABLE_7687" $$unsorted)) % 0.44/0.66 (define @t252 () (= @t14 @t251)) % 0.44/0.66 (define @t253 () (tptp.r2 @t250 @t251)) % 0.44/0.66 (define @t254 () (not @t253)) % 0.44/0.66 (define @t255 () (@list @t251)) % 0.44/0.66 (define @t256 () (forall @t26 (or (not (forall @t255 (or @t254 (and @t253 @t252)))) (not (tptp.r2 @t250 @t14))))) % 0.44/0.66 (define @t257 () (@quantifiers_skolemize @t256 0)) % 0.44/0.66 (define @t258 () (tptp.r2 @t17 @t251)) % 0.44/0.66 (define @t259 () (forall @t255 (or (not @t258) (and @t258 @t252)))) % 0.44/0.66 (define @t260 () (tptp.r2 @t17 @t14)) % 0.44/0.66 (define @t261 () (and @t259 @t260)) % 0.44/0.66 (define @t262 () (forall @t26 (not @t261))) % 0.44/0.66 (define @t263 () (not @t262)) % 0.44/0.66 (define @t264 () (= @t14 @t14)) % 0.44/0.66 (define @t265 () (and @t260 @t264)) % 0.44/0.66 (define @t266 () (not @t264)) % 0.44/0.66 (define @t267 () (or @t266 @t265)) % 0.44/0.66 (define @t268 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.44/0.66 (define @t269 () (= @t14 @t268)) % 0.44/0.66 (define @t270 () (and (tptp.r2 @t17 @t268) @t269)) % 0.44/0.66 (define @t271 () (not @t269)) % 0.44/0.66 (define @t272 () (@list @t268)) % 0.44/0.66 (define @t273 () (or @t271 @t271 @t270)) % 0.44/0.66 (define @t274 () (or @t271 @t270)) % 0.44/0.66 (define @t275 () (forall @t272 @t274)) % 0.44/0.66 (define @t276 () (= @t14 @t15)) % 0.44/0.66 (define @t277 () (and @t18 @t276)) % 0.44/0.66 (define @t278 () (not @t276)) % 0.44/0.66 (define @t279 () (or @t278 @t277)) % 0.44/0.66 (define @t280 () (forall @t24 @t279)) % 0.44/0.66 (define @t281 () (@list @t15)) % 0.44/0.66 (define @t282 () (or @t21 @t277)) % 0.44/0.66 (define @t283 () (forall @t24 @t282)) % 0.44/0.66 (define @t284 () (and @t283 @t280)) % 0.44/0.66 (define @t285 () (@list @t250)) % 0.44/0.66 (define @t286 () (tptp.r2 @t250 @t257)) % 0.44/0.66 (define @t287 () (not @t286)) % 0.44/0.66 (define @t288 () (forall @t255 (or @t254 (and @t253 (= @t251 @t257))))) % 0.44/0.66 (define @t289 () (not @t288)) % 0.44/0.66 (define @t290 () (or @t289 @t287)) % 0.44/0.66 (define @t291 () (not @t290)) % 0.44/0.66 (define @t292 () (not @t256)) % 0.44/0.66 (define @t293 () (and @t253 (= @t257 @t251))) % 0.44/0.66 (define @t294 () (or @t254 @t293)) % 0.44/0.66 (define @t295 () (forall @t255 @t294)) % 0.44/0.66 (define @t296 () (not @t295)) % 0.44/0.66 (define @t297 () (or @t296 @t287)) % 0.44/0.66 (define @t298 () (not @t297)) % 0.44/0.66 (define @t299 () (@list true)) % 0.44/0.66 (define @t300 () (@list @t290)) % 0.44/0.66 (define @t301 () (and @t248 @t243)) % 0.44/0.66 (define @t302 () (forall @t12 (not @t301))) % 0.44/0.66 (define @t303 () (not @t302)) % 0.44/0.66 (define @t304 () (= @t1 @t1)) % 0.44/0.66 (define @t305 () (and @t243 @t304)) % 0.44/0.66 (define @t306 () (not @t304)) % 0.44/0.66 (define @t307 () (or @t306 @t305)) % 0.44/0.66 (define @t308 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 0.44/0.66 (define @t309 () (= @t1 @t308)) % 0.44/0.66 (define @t310 () (and (tptp.r1 @t308) @t309)) % 0.44/0.66 (define @t311 () (not @t309)) % 0.44/0.66 (define @t312 () (@list @t308)) % 0.44/0.66 (define @t313 () (or @t311 @t311 @t310)) % 0.44/0.66 (define @t314 () (or @t311 @t310)) % 0.44/0.66 (define @t315 () (forall @t312 @t314)) % 0.44/0.66 (define @t316 () (= @t1 @t2)) % 0.44/0.66 (define @t317 () (and @t4 @t316)) % 0.44/0.66 (define @t318 () (not @t316)) % 0.44/0.66 (define @t319 () (or @t318 @t317)) % 0.44/0.66 (define @t320 () (forall @t10 @t319)) % 0.44/0.66 (define @t321 () (@list @t2)) % 0.44/0.66 (define @t322 () (or @t7 @t317)) % 0.44/0.66 (define @t323 () (forall @t10 @t322)) % 0.44/0.66 (define @t324 () (and @t323 @t320)) % 0.44/0.66 (define @t325 () (tptp.r1 @t250)) % 0.44/0.66 (define @t326 () (not @t325)) % 0.44/0.66 (define @t327 () (forall @t247 (or @t246 (and @t245 (= @t244 @t250))))) % 0.44/0.66 (define @t328 () (not @t327)) % 0.44/0.66 (define @t329 () (or @t328 @t326)) % 0.44/0.66 (define @t330 () (not @t329)) % 0.44/0.66 (define @t331 () (not @t249)) % 0.44/0.66 (define @t332 () (and @t245 (= @t250 @t244))) % 0.44/0.66 (define @t333 () (or @t246 @t332)) % 0.44/0.66 (define @t334 () (forall @t247 @t333)) % 0.44/0.66 (define @t335 () (not @t334)) % 0.44/0.66 (define @t336 () (or @t335 @t326)) % 0.44/0.66 (define @t337 () (not @t336)) % 0.44/0.66 (define @t338 () (@list @t329)) % 0.44/0.66 (define @t339 () (not (tptp.r4 @t257 @t257 @t257))) % 0.44/0.66 (define @t340 () (or @t339 @t326 @t287 @t326 @t287)) % 0.44/0.66 (define @t341 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.44/0.66 (define @t342 () (not (tptp.r2 @t341 @t65))) % 0.44/0.66 (define @t343 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 0.44/0.66 (define @t344 () (@list @t65 @t343 @t341)) % 0.44/0.66 (define @t345 () (forall @t344 (or (not (tptp.r2 @t250 @t343)) (not (tptp.r3 @t250 @t343 @t65)) @t342 (not (tptp.r3 @t250 @t250 @t341))))) % 0.44/0.66 (define @t346 () (@quantifiers_skolemize @t345 0)) % 0.44/0.66 (define @t347 () (tptp.r2 @t250 @t346)) % 0.44/0.66 (define @t348 () (and @t347 (= @t346 @t257))) % 0.44/0.66 (define @t349 () (not @t347)) % 0.44/0.66 (define @t350 () (or @t349 @t348)) % 0.44/0.66 (define @t351 () (@list @t346)) % 0.44/0.66 (define @t352 () (= @t257 @t346)) % 0.44/0.66 (define @t353 () (and @t347 @t352)) % 0.44/0.66 (define @t354 () (or @t349 @t353)) % 0.44/0.66 (define @t355 () (@list false)) % 0.44/0.66 (define @t356 () (@list @t288)) % 0.44/0.66 (define @t357 () (not (tptp.r3 @t63 @t62 @t341))) % 0.44/0.66 (define @t358 () (not (tptp.r3 @t63 @t343 @t65))) % 0.44/0.66 (define @t359 () (not (tptp.r2 @t62 @t343))) % 0.44/0.66 (define @t360 () (or @t342 @t357)) % 0.44/0.66 (define @t361 () (or @t359 @t358)) % 0.44/0.66 (define @t362 () (or @t361 @t360)) % 0.44/0.66 (define @t363 () (forall @t344 @t362)) % 0.44/0.66 (define @t364 () (forall (@list @t343 @t341) @t362)) % 0.44/0.66 (define @t365 () (forall (@list @t341) @t360)) % 0.44/0.66 (define @t366 () (forall (@list @t343) @t361)) % 0.44/0.66 (define @t367 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 0.44/0.66 (define @t368 () (@list @t367)) % 0.44/0.66 (define @t369 () (or @t366 @t365)) % 0.44/0.66 (define @t370 () (forall @t68 (or (not @t66) (not @t64)))) % 0.44/0.66 (define @t371 () (not (tptp.r3 @t63 @t367 @t65))) % 0.44/0.66 (define @t372 () (not (tptp.r2 @t62 @t367))) % 0.44/0.66 (define @t373 () (or @t372 @t371)) % 0.44/0.66 (define @t374 () (@list @t367)) % 0.44/0.66 (define @t375 () (forall @t374 @t373)) % 0.44/0.66 (define @t376 () (not @t370)) % 0.44/0.66 (define @t377 () (not @t375)) % 0.44/0.66 (define @t378 () (and @t377 @t376)) % 0.44/0.66 (define @t379 () (forall @t82 (not @t378))) % 0.44/0.66 (define @t380 () (not @t379)) % 0.44/0.66 (define @t381 () (forall @t68 (not @t67))) % 0.44/0.66 (define @t382 () (not @t381)) % 0.44/0.66 (define @t383 () (not (= @t65 @t65))) % 0.44/0.66 (define @t384 () (or @t383 @t372 @t371)) % 0.44/0.66 (define @t385 () (not (tptp.r3 @t63 @t367 @t70))) % 0.44/0.66 (define @t386 () (= @t65 @t70)) % 0.44/0.66 (define @t387 () (not @t386)) % 0.44/0.66 (define @t388 () (or @t387 @t387 @t372 @t385)) % 0.44/0.66 (define @t389 () (or @t387 @t372 @t385)) % 0.44/0.66 (define @t390 () (forall @t79 @t389)) % 0.44/0.66 (define @t391 () (forall @t374 @t390)) % 0.44/0.66 (define @t392 () (forall (@list @t367 @t70) @t389)) % 0.44/0.66 (define @t393 () (@list @t70 @t367)) % 0.44/0.66 (define @t394 () (or @t372 @t385)) % 0.44/0.66 (define @t395 () (or @t394 @t387)) % 0.44/0.66 (define @t396 () (forall @t393 @t395)) % 0.44/0.66 (define @t397 () (forall @t374 @t395)) % 0.44/0.66 (define @t398 () (forall @t374 @t394)) % 0.44/0.66 (define @t399 () (or @t398 @t387)) % 0.44/0.66 (define @t400 () (forall @t76 (or (not @t74) (not @t73)))) % 0.44/0.66 (define @t401 () (not @t400)) % 0.44/0.66 (define @t402 () (and @t401 @t386)) % 0.44/0.66 (define @t403 () (forall @t79 (not @t402))) % 0.44/0.66 (define @t404 () (not @t403)) % 0.44/0.66 (define @t405 () (forall @t76 (not @t75))) % 0.44/0.66 (define @t406 () (not @t405)) % 0.44/0.66 (define @t407 () (@list @t250 @t250)) % 0.44/0.66 (define @t408 () (@quantifiers_skolemize @t345 2)) % 0.44/0.66 (define @t409 () (tptp.r2 @t408 @t346)) % 0.44/0.66 (define @t410 () (tptp.r3 @t250 @t250 @t408)) % 0.44/0.66 (define @t411 () (not @t410)) % 0.44/0.66 (define @t412 () (not @t409)) % 0.44/0.66 (define @t413 () (@quantifiers_skolemize @t345 1)) % 0.44/0.66 (define @t414 () (tptp.r3 @t250 @t413 @t346)) % 0.44/0.66 (define @t415 () (not @t414)) % 0.44/0.66 (define @t416 () (tptp.r2 @t250 @t413)) % 0.44/0.66 (define @t417 () (not @t416)) % 0.44/0.66 (define @t418 () (or @t417 @t415 @t412 @t411)) % 0.44/0.66 (define @t419 () (@list @t418)) % 0.44/0.66 (define @t420 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.44/0.66 (define @t421 () (= @t29 @t420)) % 0.44/0.66 (define @t422 () (tptp.r3 @t33 @t32 @t420)) % 0.44/0.66 (define @t423 () (@list @t420)) % 0.44/0.66 (define @t424 () (forall @t423 (or (not @t422) (and @t422 @t421)))) % 0.44/0.66 (define @t425 () (tptp.r3 @t33 @t32 @t29)) % 0.44/0.66 (define @t426 () (and @t424 @t425)) % 0.44/0.66 (define @t427 () (forall @t42 (not @t426))) % 0.44/0.66 (define @t428 () (not @t427)) % 0.44/0.66 (define @t429 () (= @t29 @t29)) % 0.44/0.66 (define @t430 () (and @t425 @t429)) % 0.44/0.66 (define @t431 () (not @t429)) % 0.44/0.66 (define @t432 () (or @t431 @t430)) % 0.44/0.66 (define @t433 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.44/0.66 (define @t434 () (= @t29 @t433)) % 0.44/0.66 (define @t435 () (and (tptp.r3 @t33 @t32 @t433) @t434)) % 0.44/0.66 (define @t436 () (not @t434)) % 0.44/0.66 (define @t437 () (@list @t433)) % 0.44/0.66 (define @t438 () (or @t436 @t436 @t435)) % 0.44/0.66 (define @t439 () (or @t436 @t435)) % 0.44/0.66 (define @t440 () (forall @t437 @t439)) % 0.44/0.66 (define @t441 () (= @t29 @t30)) % 0.44/0.66 (define @t442 () (and @t34 @t441)) % 0.44/0.66 (define @t443 () (not @t441)) % 0.44/0.66 (define @t444 () (or @t443 @t442)) % 0.44/0.66 (define @t445 () (forall @t40 @t444)) % 0.44/0.66 (define @t446 () (@list @t30)) % 0.44/0.66 (define @t447 () (or @t37 @t442)) % 0.44/0.66 (define @t448 () (forall @t40 @t447)) % 0.44/0.66 (define @t449 () (and @t448 @t445)) % 0.44/0.66 (define @t450 () (tptp.r3 @t250 @t250 @t420)) % 0.44/0.66 (define @t451 () (not @t450)) % 0.44/0.66 (define @t452 () (forall @t42 (or (not (forall @t423 (or @t451 (and @t450 @t421)))) (not (tptp.r3 @t250 @t250 @t29))))) % 0.44/0.66 (define @t453 () (@quantifiers_skolemize @t452 0)) % 0.44/0.66 (define @t454 () (not (tptp.r3 @t250 @t250 @t453))) % 0.44/0.66 (define @t455 () (forall @t423 (or @t451 (and @t450 (= @t420 @t453))))) % 0.44/0.66 (define @t456 () (not @t455)) % 0.44/0.66 (define @t457 () (or @t456 @t454)) % 0.44/0.66 (define @t458 () (not @t457)) % 0.44/0.66 (define @t459 () (not @t452)) % 0.44/0.66 (define @t460 () (and @t450 (= @t453 @t420))) % 0.44/0.66 (define @t461 () (or @t451 @t460)) % 0.44/0.66 (define @t462 () (forall @t423 @t461)) % 0.44/0.66 (define @t463 () (not @t462)) % 0.44/0.66 (define @t464 () (or @t463 @t454)) % 0.44/0.66 (define @t465 () (not @t464)) % 0.44/0.66 (define @t466 () (and @t410 (= @t408 @t453))) % 0.44/0.66 (define @t467 () (or @t411 @t466)) % 0.44/0.66 (define @t468 () (= @t453 @t408)) % 0.44/0.66 (define @t469 () (and @t410 @t468)) % 0.44/0.66 (define @t470 () (or @t411 @t469)) % 0.44/0.66 (define @t471 () (@list false false)) % 0.44/0.66 (define @t472 () (@var "BOUND_VARIABLE_8019" $$unsorted)) % 0.44/0.66 (define @t473 () (not (tptp.r3 @t113 @t472 @t113))) % 0.44/0.66 (define @t474 () (not (tptp.r1 @t472))) % 0.44/0.66 (define @t475 () (not (= @t113 @t113))) % 0.44/0.66 (define @t476 () (or @t475 @t474 @t473)) % 0.44/0.66 (define @t477 () (@list @t472)) % 0.44/0.66 (define @t478 () (not (tptp.r3 @t113 @t472 @t114))) % 0.44/0.66 (define @t479 () (= @t113 @t114)) % 0.44/0.66 (define @t480 () (not @t479)) % 0.44/0.66 (define @t481 () (or @t480 @t480 @t474 @t478)) % 0.44/0.66 (define @t482 () (or @t480 @t474 @t478)) % 0.44/0.66 (define @t483 () (forall @t123 @t482)) % 0.44/0.66 (define @t484 () (forall @t477 @t483)) % 0.44/0.66 (define @t485 () (forall (@list @t472 @t114) @t482)) % 0.44/0.66 (define @t486 () (@list @t114 @t472)) % 0.44/0.66 (define @t487 () (or @t474 @t478)) % 0.44/0.66 (define @t488 () (or @t487 @t480)) % 0.44/0.66 (define @t489 () (forall @t486 @t488)) % 0.44/0.66 (define @t490 () (forall @t477 @t488)) % 0.44/0.66 (define @t491 () (forall @t477 @t487)) % 0.44/0.66 (define @t492 () (or @t491 @t480)) % 0.44/0.66 (define @t493 () (forall @t120 (or (not @t118) (not @t117)))) % 0.44/0.66 (define @t494 () (not @t493)) % 0.44/0.66 (define @t495 () (and @t494 @t479)) % 0.44/0.66 (define @t496 () (forall @t123 (not @t495))) % 0.44/0.66 (define @t497 () (not @t496)) % 0.44/0.66 (define @t498 () (forall @t120 (not @t119))) % 0.44/0.66 (define @t499 () (not @t498)) % 0.44/0.66 (define @t500 () (@quantifiers_skolemize (forall @t477 (or @t474 (not (tptp.r3 @t250 @t472 @t250)))) 0)) % 0.44/0.66 (define @t501 () (tptp.r3 @t250 @t500 @t250)) % 0.44/0.66 (define @t502 () (not @t501)) % 0.44/0.66 (define @t503 () (tptp.r1 @t500)) % 0.44/0.66 (define @t504 () (not @t503)) % 0.44/0.66 (define @t505 () (or @t504 @t502)) % 0.44/0.66 (define @t506 () (@list @t505)) % 0.44/0.66 (define @t507 () (and @t503 (= @t500 @t250))) % 0.44/0.66 (define @t508 () (or @t504 @t507)) % 0.44/0.66 (define @t509 () (= @t250 @t500)) % 0.44/0.66 (define @t510 () (and @t503 @t509)) % 0.44/0.66 (define @t511 () (or @t504 @t510)) % 0.44/0.66 (define @t512 () (@list @t327)) % 0.44/0.66 (define @t513 () (tptp.r3 @t250 @t250 @t250)) % 0.44/0.66 (define @t514 () (= @t250 @t453)) % 0.44/0.66 (define @t515 () (and @t513 @t514)) % 0.44/0.66 (define @t516 () (not @t513)) % 0.44/0.66 (define @t517 () (or @t516 @t515)) % 0.44/0.66 (define @t518 () (tptp.r3 @t250 @t257 @t420)) % 0.44/0.66 (define @t519 () (not @t518)) % 0.44/0.66 (define @t520 () (forall @t42 (or (not (forall @t423 (or @t519 (and @t518 @t421)))) (not (tptp.r3 @t250 @t257 @t29))))) % 0.44/0.66 (define @t521 () (@quantifiers_skolemize @t520 0)) % 0.44/0.66 (define @t522 () (not (tptp.r3 @t250 @t257 @t521))) % 0.44/0.66 (define @t523 () (forall @t423 (or @t519 (and @t518 (= @t420 @t521))))) % 0.44/0.66 (define @t524 () (not @t523)) % 0.44/0.66 (define @t525 () (or @t524 @t522)) % 0.44/0.66 (define @t526 () (not @t525)) % 0.44/0.66 (define @t527 () (not @t520)) % 0.44/0.66 (define @t528 () (and @t518 (= @t521 @t420))) % 0.44/0.66 (define @t529 () (or @t519 @t528)) % 0.44/0.66 (define @t530 () (forall @t423 @t529)) % 0.44/0.66 (define @t531 () (not @t530)) % 0.44/0.66 (define @t532 () (or @t531 @t522)) % 0.44/0.66 (define @t533 () (not @t532)) % 0.44/0.66 (define @t534 () (and @t416 (= @t413 @t257))) % 0.44/0.66 (define @t535 () (or @t417 @t534)) % 0.44/0.66 (define @t536 () (= @t257 @t413)) % 0.44/0.66 (define @t537 () (and @t416 @t536)) % 0.44/0.66 (define @t538 () (or @t417 @t537)) % 0.44/0.66 (define @t539 () (tptp.r3 @t250 @t257 @t346)) % 0.44/0.66 (define @t540 () (= @t346 @t521)) % 0.44/0.66 (define @t541 () (and @t539 @t540)) % 0.44/0.66 (define @t542 () (not @t539)) % 0.44/0.66 (define @t543 () (or @t542 @t541)) % 0.44/0.66 (define @t544 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 0.44/0.66 (define @t545 () (@var "BOUND_VARIABLE_7953" $$unsorted)) % 0.44/0.66 (define @t546 () (@list @t89 @t545 @t544)) % 0.44/0.66 (define @t547 () (forall @t546 (or (not (tptp.r2 @t250 @t545)) (not (tptp.r4 @t257 @t545 @t89)) (not (tptp.r3 @t544 @t257 @t89)) (not (tptp.r4 @t257 @t250 @t544))))) % 0.44/0.66 (define @t548 () (@quantifiers_skolemize @t547 0)) % 0.44/0.66 (define @t549 () (tptp.r3 @t250 @t257 @t548)) % 0.44/0.66 (define @t550 () (and @t549 (= @t548 @t521))) % 0.44/0.66 (define @t551 () (not @t549)) % 0.44/0.66 (define @t552 () (or @t551 @t550)) % 0.44/0.66 (define @t553 () (= @t521 @t548)) % 0.44/0.66 (define @t554 () (and @t549 @t553)) % 0.44/0.66 (define @t555 () (or @t551 @t554)) % 0.44/0.66 (define @t556 () (not (tptp.r4 @t87 @t86 @t544))) % 0.44/0.66 (define @t557 () (not (tptp.r3 @t544 @t87 @t89))) % 0.44/0.66 (define @t558 () (not (tptp.r4 @t87 @t545 @t89))) % 0.44/0.66 (define @t559 () (not (tptp.r2 @t86 @t545))) % 0.44/0.66 (define @t560 () (or @t557 @t556)) % 0.44/0.66 (define @t561 () (or @t559 @t558)) % 0.44/0.66 (define @t562 () (or @t561 @t560)) % 0.44/0.66 (define @t563 () (forall @t546 @t562)) % 0.44/0.66 (define @t564 () (forall (@list @t545 @t544) @t562)) % 0.44/0.66 (define @t565 () (forall (@list @t544) @t560)) % 0.44/0.66 (define @t566 () (forall (@list @t545) @t561)) % 0.44/0.66 (define @t567 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.44/0.66 (define @t568 () (@list @t567)) % 0.44/0.66 (define @t569 () (or @t566 @t565)) % 0.44/0.66 (define @t570 () (forall @t92 (or (not @t90) (not @t88)))) % 0.44/0.66 (define @t571 () (not (tptp.r4 @t87 @t567 @t89))) % 0.44/0.66 (define @t572 () (not (tptp.r2 @t86 @t567))) % 0.44/0.66 (define @t573 () (or @t572 @t571)) % 0.44/0.66 (define @t574 () (@list @t567)) % 0.44/0.66 (define @t575 () (forall @t574 @t573)) % 0.44/0.66 (define @t576 () (not @t570)) % 0.44/0.66 (define @t577 () (not @t575)) % 0.44/0.66 (define @t578 () (and @t577 @t576)) % 0.44/0.66 (define @t579 () (forall @t106 (not @t578))) % 0.44/0.66 (define @t580 () (not @t579)) % 0.44/0.66 (define @t581 () (forall @t92 (not @t91))) % 0.44/0.66 (define @t582 () (not @t581)) % 0.44/0.66 (define @t583 () (not (= @t89 @t89))) % 0.44/0.66 (define @t584 () (or @t583 @t572 @t571)) % 0.44/0.66 (define @t585 () (not (tptp.r4 @t87 @t567 @t94))) % 0.44/0.66 (define @t586 () (= @t89 @t94)) % 0.44/0.66 (define @t587 () (not @t586)) % 0.44/0.66 (define @t588 () (or @t587 @t587 @t572 @t585)) % 0.44/0.66 (define @t589 () (or @t587 @t572 @t585)) % 0.44/0.66 (define @t590 () (forall @t103 @t589)) % 0.44/0.66 (define @t591 () (forall @t574 @t590)) % 0.44/0.66 (define @t592 () (forall (@list @t567 @t94) @t589)) % 0.44/0.66 (define @t593 () (@list @t94 @t567)) % 0.44/0.66 (define @t594 () (or @t572 @t585)) % 0.44/0.66 (define @t595 () (or @t594 @t587)) % 0.44/0.66 (define @t596 () (forall @t593 @t595)) % 0.44/0.66 (define @t597 () (forall @t574 @t595)) % 0.44/0.66 (define @t598 () (forall @t574 @t594)) % 0.44/0.66 (define @t599 () (or @t598 @t587)) % 0.44/0.66 (define @t600 () (forall @t100 (or (not @t98) (not @t97)))) % 0.44/0.66 (define @t601 () (not @t600)) % 0.44/0.66 (define @t602 () (and @t601 @t586)) % 0.44/0.66 (define @t603 () (forall @t103 (not @t602))) % 0.44/0.66 (define @t604 () (not @t603)) % 0.44/0.66 (define @t605 () (forall @t100 (not @t99))) % 0.44/0.66 (define @t606 () (not @t605)) % 0.44/0.66 (define @t607 () (@list @t257 @t250)) % 0.44/0.66 (define @t608 () (@quantifiers_skolemize @t547 2)) % 0.44/0.66 (define @t609 () (tptp.r3 @t608 @t257 @t548)) % 0.44/0.66 (define @t610 () (tptp.r4 @t257 @t250 @t608)) % 0.44/0.66 (define @t611 () (not @t610)) % 0.44/0.66 (define @t612 () (not @t609)) % 0.44/0.66 (define @t613 () (@quantifiers_skolemize @t547 1)) % 0.44/0.66 (define @t614 () (tptp.r4 @t257 @t613 @t548)) % 0.44/0.66 (define @t615 () (not @t614)) % 0.44/0.66 (define @t616 () (tptp.r2 @t250 @t613)) % 0.44/0.66 (define @t617 () (not @t616)) % 0.44/0.66 (define @t618 () (or @t617 @t615 @t612 @t611)) % 0.44/0.66 (define @t619 () (@list @t618)) % 0.44/0.66 (define @t620 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 0.44/0.66 (define @t621 () (= @t45 @t620)) % 0.44/0.66 (define @t622 () (tptp.r4 @t49 @t48 @t620)) % 0.44/0.66 (define @t623 () (@list @t620)) % 0.44/0.66 (define @t624 () (forall @t623 (or (not @t622) (and @t622 @t621)))) % 0.44/0.66 (define @t625 () (tptp.r4 @t49 @t48 @t45)) % 0.44/0.66 (define @t626 () (and @t624 @t625)) % 0.44/0.66 (define @t627 () (forall @t58 (not @t626))) % 0.44/0.66 (define @t628 () (not @t627)) % 0.44/0.66 (define @t629 () (= @t45 @t45)) % 0.44/0.66 (define @t630 () (and @t625 @t629)) % 0.44/0.66 (define @t631 () (not @t629)) % 0.44/0.66 (define @t632 () (or @t631 @t630)) % 0.44/0.66 (define @t633 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 0.44/0.66 (define @t634 () (= @t45 @t633)) % 0.44/0.66 (define @t635 () (and (tptp.r4 @t49 @t48 @t633) @t634)) % 0.44/0.66 (define @t636 () (not @t634)) % 0.44/0.66 (define @t637 () (@list @t633)) % 0.44/0.66 (define @t638 () (or @t636 @t636 @t635)) % 0.44/0.66 (define @t639 () (or @t636 @t635)) % 0.44/0.66 (define @t640 () (forall @t637 @t639)) % 0.44/0.66 (define @t641 () (= @t45 @t46)) % 0.44/0.66 (define @t642 () (and @t50 @t641)) % 0.44/0.66 (define @t643 () (not @t641)) % 0.44/0.66 (define @t644 () (or @t643 @t642)) % 0.44/0.66 (define @t645 () (forall @t56 @t644)) % 0.44/0.66 (define @t646 () (@list @t46)) % 0.44/0.66 (define @t647 () (or @t53 @t642)) % 0.44/0.66 (define @t648 () (forall @t56 @t647)) % 0.44/0.66 (define @t649 () (and @t648 @t645)) % 0.44/0.66 (define @t650 () (tptp.r4 @t257 @t250 @t620)) % 0.44/0.66 (define @t651 () (not @t650)) % 0.44/0.66 (define @t652 () (forall @t58 (or (not (forall @t623 (or @t651 (and @t650 @t621)))) (not (tptp.r4 @t257 @t250 @t45))))) % 0.44/0.66 (define @t653 () (@quantifiers_skolemize @t652 0)) % 0.44/0.66 (define @t654 () (not (tptp.r4 @t257 @t250 @t653))) % 0.44/0.66 (define @t655 () (forall @t623 (or @t651 (and @t650 (= @t620 @t653))))) % 0.44/0.66 (define @t656 () (not @t655)) % 0.44/0.66 (define @t657 () (or @t656 @t654)) % 0.44/0.66 (define @t658 () (not @t657)) % 0.44/0.66 (define @t659 () (not @t652)) % 0.44/0.66 (define @t660 () (and @t650 (= @t653 @t620))) % 0.44/0.66 (define @t661 () (or @t651 @t660)) % 0.44/0.66 (define @t662 () (forall @t623 @t661)) % 0.44/0.66 (define @t663 () (not @t662)) % 0.44/0.66 (define @t664 () (or @t663 @t654)) % 0.44/0.66 (define @t665 () (not @t664)) % 0.44/0.66 (define @t666 () (and @t610 (= @t608 @t653))) % 0.44/0.66 (define @t667 () (or @t611 @t666)) % 0.44/0.66 (define @t668 () (= @t653 @t608)) % 0.44/0.66 (define @t669 () (and @t610 @t668)) % 0.44/0.66 (define @t670 () (or @t611 @t669)) % 0.44/0.66 (define @t671 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.44/0.66 (define @t672 () (not (tptp.r1 @t671))) % 0.44/0.66 (define @t673 () (tptp.r1 @t127)) % 0.44/0.66 (define @t674 () (not @t673)) % 0.44/0.66 (define @t675 () (@list @t127 @t671)) % 0.44/0.66 (define @t676 () (forall @t675 (or @t674 @t672 (not (tptp.r4 @t257 @t671 @t127))))) % 0.44/0.66 (define @t677 () (@quantifiers_skolemize @t676 0)) % 0.44/0.66 (define @t678 () (@list @t677)) % 0.44/0.66 (define @t679 () (not (tptp.r4 @t134 @t671 @t127))) % 0.44/0.66 (define @t680 () (or @t672 @t679)) % 0.44/0.66 (define @t681 () (or @t680 @t674)) % 0.44/0.66 (define @t682 () (forall @t675 @t681)) % 0.44/0.66 (define @t683 () (@list @t671)) % 0.44/0.66 (define @t684 () (forall @t683 @t681)) % 0.44/0.66 (define @t685 () (forall @t683 @t680)) % 0.44/0.66 (define @t686 () (or @t685 @t674)) % 0.44/0.66 (define @t687 () (forall @t138 (or (not @t136) (not @t135)))) % 0.44/0.66 (define @t688 () (not @t687)) % 0.44/0.66 (define @t689 () (and @t688 @t673)) % 0.44/0.66 (define @t690 () (forall @t141 (not @t689))) % 0.44/0.66 (define @t691 () (not @t690)) % 0.44/0.66 (define @t692 () (not (= @t127 @t127))) % 0.44/0.66 (define @t693 () (or @t674 @t692)) % 0.44/0.66 (define @t694 () (not @t128)) % 0.44/0.66 (define @t695 () (not @t129)) % 0.44/0.66 (define @t696 () (or @t694 @t695 @t694)) % 0.44/0.66 (define @t697 () (or @t695 @t694)) % 0.44/0.66 (define @t698 () (forall @t131 (not @t130))) % 0.44/0.66 (define @t699 () (not @t698)) % 0.44/0.66 (define @t700 () (forall @t138 (not @t137))) % 0.44/0.66 (define @t701 () (not @t700)) % 0.44/0.66 (define @t702 () (@quantifiers_skolemize @t676 1)) % 0.44/0.66 (define @t703 () (tptp.r4 @t257 @t702 @t677)) % 0.44/0.66 (define @t704 () (not @t703)) % 0.44/0.66 (define @t705 () (tptp.r1 @t702)) % 0.44/0.66 (define @t706 () (not @t705)) % 0.44/0.66 (define @t707 () (tptp.r1 @t677)) % 0.44/0.66 (define @t708 () (not @t707)) % 0.44/0.66 (define @t709 () (or @t708 @t706 @t704)) % 0.44/0.66 (define @t710 () (@list @t709)) % 0.44/0.66 (define @t711 () (and @t705 (= @t702 @t250))) % 0.44/0.66 (define @t712 () (or @t706 @t711)) % 0.44/0.66 (define @t713 () (= @t250 @t702)) % 0.44/0.66 (define @t714 () (and @t705 @t713)) % 0.44/0.66 (define @t715 () (or @t706 @t714)) % 0.44/0.66 (define @t716 () (tptp.r4 @t257 @t250 @t677)) % 0.44/0.66 (define @t717 () (= @t677 @t653)) % 0.44/0.66 (define @t718 () (and @t716 @t717)) % 0.44/0.66 (define @t719 () (not @t716)) % 0.44/0.66 (define @t720 () (or @t719 @t718)) % 0.44/0.66 (define @t721 () (and @t707 (= @t677 @t250))) % 0.44/0.66 (define @t722 () (or @t708 @t721)) % 0.44/0.66 (define @t723 () (= @t250 @t677)) % 0.44/0.66 (define @t724 () (and @t707 @t723)) % 0.44/0.66 (define @t725 () (or @t708 @t724)) % 0.44/0.66 (define @t726 () (and @t616 (= @t613 @t257))) % 0.44/0.66 (define @t727 () (or @t617 @t726)) % 0.44/0.66 (define @t728 () (= @t257 @t613)) % 0.44/0.66 (define @t729 () (and @t616 @t728)) % 0.44/0.66 (define @t730 () (or @t617 @t729)) % 0.44/0.66 (assume @p1 @t13) % 0.44/0.66 (assume @p2 @t28) % 0.44/0.66 (assume @p3 @t44) % 0.44/0.66 (assume @p4 @t60) % 0.44/0.66 (assume @p5 @t84) % 0.44/0.66 (assume @p6 @t108) % 0.44/0.66 (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)))) % 0.44/0.66 (assume @p8 @t125) % 0.44/0.66 (assume @p9 @t143) % 0.44/0.66 (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)))))) % 0.44/0.66 (assume @p11 (forall (@list @t149 @t148) (or (forall (@list @t150) (or (not (tptp.r1 @t150)) (not (= @t150 @t148)))) (not (tptp.r2 @t149 @t148))))) % 0.44/0.66 (assume @p12 @t167) % 0.44/0.66 (assume @p13 true) % 0.44/0.66 (step @p14 :rule evaluate :args ((= true false))) % 0.44/0.66 (step @p15 :rule bool-double-not-elim :args ((forall @t177 @t176))) % 0.44/0.66 (step @p16 :rule aci_norm :args ((= @t180 @t176))) % 0.44/0.66 (step @p17 :rule cong :premises (@p16) :args (@t181)) % 0.44/0.66 (step @p18 :rule quant-merge-prenex :args ((= (forall @t165 @t182) @t181))) % 0.44/0.66 (step @p19 :rule alpha_equiv :args (@t183 (@list @t168) @t185)) % 0.44/0.66 (step @p20 :rule alpha_equiv :args (@t186 (@list @t171 @t172) (@list @t89 @t187))) % 0.44/0.66 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t188)) % 0.44/0.66 (step @p22 :rule quant-miniscope-or :args ((= @t182 @t188))) % 0.44/0.66 (step @p23 :rule trans :premises (@p22 @p21)) % 0.44/0.66 (step @p24 :rule symm :premises (@p23)) % 0.44/0.66 (step @p25 :rule cong :premises (@p24) :args ((forall @t165 (or @t199 @t193)))) % 0.44/0.66 (step @p26 :rule trans :premises (@p25 @p18)) % 0.44/0.66 (step @p27 :rule trans :premises (@p26 @p17)) % 0.44/0.66 (step @p28 :rule bool-double-not-elim :args (@t193)) % 0.44/0.66 (step @p29 :rule bool-double-not-elim :args (@t199)) % 0.44/0.66 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t201) (not @t200)))) % 0.44/0.66 (step @p31 :rule bool-and-de-morgan :args (@t201 @t200 true)) % 0.44/0.66 (step @p32 :rule trans :premises (@p31 @p30)) % 0.44/0.66 (step @p33 :rule cong :premises (@p32) :args (@t203)) % 0.44/0.66 (step @p34 :rule trans :premises (@p33 @p27)) % 0.44/0.66 (step @p35 :rule cong :premises (@p34) :args (@t204)) % 0.44/0.66 (step @p36 :rule exists-elim :args ((= (exists @t165 @t202) @t204))) % 0.44/0.66 (step @p37 :rule trans :premises (@p36 @p35)) % 0.44/0.66 (step @p38 :rule aci_norm :args ((= (or false @t190 @t189) @t191))) % 0.44/0.66 (step @p39 :rule refl :args (@t189)) % 0.44/0.66 (step @p40 :rule refl :args (@t190)) % 0.44/0.66 (step @p41 :rule evaluate :args ((not true))) % 0.44/0.66 (step @p42 :rule eq-refl :args (@t146)) % 0.44/0.66 (step @p43 :rule cong :premises (@p42) :args (@t205)) % 0.44/0.66 (step @p44 :rule trans :premises (@p43 @p41)) % 0.44/0.66 (step @p45 :rule nary_cong :premises (@p44 @p40 @p39) :args (@t206)) % 0.44/0.66 (step @p46 :rule trans :premises (@p45 @p38)) % 0.44/0.66 (step @p47 :rule cong :premises (@p46) :args ((forall @t192 @t206))) % 0.44/0.66 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t103 @t210) @t206))) % 0.44/0.66 (step @p49 :rule aci_norm :args ((= @t211 @t210))) % 0.44/0.66 (step @p50 :rule cong :premises (@p49) :args (@t212)) % 0.44/0.66 (step @p51 :rule trans :premises (@p50 @p48)) % 0.44/0.66 (step @p52 :rule cong :premises (@p51) :args (@t213)) % 0.44/0.66 (step @p53 :rule quant-merge-prenex :args ((= @t213 @t214))) % 0.44/0.66 (step @p54 :rule symm :premises (@p53)) % 0.44/0.66 (step @p55 :rule quant_var_reordering :args ((= (forall @t215 @t211) @t214))) % 0.44/0.66 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.44/0.66 (step @p57 :rule trans :premises (@p56 @p47)) % 0.44/0.66 (step @p58 :rule aci_norm :args ((= @t217 @t211))) % 0.44/0.66 (step @p59 :rule cong :premises (@p58) :args (@t218)) % 0.44/0.66 (step @p60 :rule trans :premises (@p59 @p57)) % 0.44/0.66 (step @p61 :rule quant-merge-prenex :args ((= (forall @t103 @t219) @t218))) % 0.44/0.66 (step @p62 :rule alpha_equiv :args (@t220 @t185 (@list @t70))) % 0.44/0.66 (step @p63 :rule refl :args (@t209)) % 0.44/0.66 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t221)) % 0.44/0.66 (step @p65 :rule quant-miniscope-or :args ((= @t219 @t221))) % 0.44/0.66 (step @p66 :rule trans :premises (@p65 @p64)) % 0.44/0.66 (step @p67 :rule symm :premises (@p66)) % 0.44/0.66 (step @p68 :rule cong :premises (@p67) :args ((forall @t103 (or @t209 @t222)))) % 0.44/0.66 (step @p69 :rule trans :premises (@p68 @p61)) % 0.44/0.66 (step @p70 :rule trans :premises (@p69 @p60)) % 0.44/0.66 (step @p71 :rule bool-double-not-elim :args (@t222)) % 0.44/0.66 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((or @t209 (not @t223)))) % 0.44/0.66 (step @p73 :rule bool-and-de-morgan :args (@t208 @t223 true)) % 0.44/0.66 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.66 (step @p75 :rule cong :premises (@p74) :args (@t225)) % 0.44/0.66 (step @p76 :rule trans :premises (@p75 @p70)) % 0.44/0.66 (step @p77 :rule cong :premises (@p76) :args (@t226)) % 0.44/0.66 (step @p78 :rule exists-elim 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(@p1091 @p816) :args (@t616 @t299 @t619)) % 0.44/0.67 (step @p1093 :rule cnf_or_pos :args (@t730)) % 0.44/0.67 (step @p1094 :rule reordering :premises (@p1093) :args ((or @t617 @t729 (not @t730)))) % 0.44/0.67 (step @p1095 :rule chain_m_resolution :premises (@p1094 @p1092 @p1086) :args (@t729 @t471 (@list @t616 @t730))) % 0.44/0.67 (step @p1096 :rule cnf_and_pos :args (@t729 1)) % 0.44/0.67 (step @p1097 :rule reordering :premises (@p1096) :args ((or @t728 (not @t729)))) % 0.44/0.67 (step @p1098 :rule chain_m_resolution :premises (@p1097 @p1095) :args (@t728 @t355 (@list @t729))) % 0.44/0.67 (step @p1099 :rule symm :premises (@p1098)) % 0.44/0.67 (step @p1100 :rule cong :premises (@p826 @p1099 @p1073) :args (@t614)) % 0.44/0.67 (step @p1101 :rule bool-double-not-elim :args (@t614)) % 0.44/0.67 (step @p1102 :rule nary_cong :premises (@p818 @p1101) :args ((or @t618 (not @t615)))) % 0.44/0.67 (step @p1103 :rule cnf_or_neg :args (@t618 1)) % 0.44/0.67 (step @p1104 :rule eq_resolve :premises (@p1103 @p1102)) % 0.44/0.67 (step @p1105 :rule reordering :premises (@p1104) :args ((or @t614 @t618))) % 0.44/0.67 (step @p1106 :rule chain_m_resolution :premises (@p1105 @p816) :args (@t614 @t299 @t619)) % 0.44/0.67 (step @p1107 :rule true_intro :premises (@p1106)) % 0.44/0.67 (step @p1108 :rule symm :premises (@p1107)) % 0.44/0.67 (step @p1109 :rule trans :premises (@p1108 @p1100 @p290)) % 0.44/0.67 (step @p1110 false :rule eq_resolve :premises (@p1109 @p14)) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------