%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN068+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 : n013.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 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN068+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:38:30 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "Y24" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "X19" $$unsorted)) % 0.45/0.66 (define @t3 () (= @t2 @t1)) % 0.45/0.66 (define @t4 () (tptp.r1 @t2)) % 0.45/0.66 (define @t5 () (and @t4 @t3)) % 0.45/0.66 (define @t6 () (not @t3)) % 0.45/0.66 (define @t7 () (not @t4)) % 0.45/0.66 (define @t8 () (and @t7 @t6)) % 0.45/0.66 (define @t9 () (or @t8 @t5)) % 0.45/0.66 (define @t10 () (@list @t2)) % 0.45/0.66 (define @t11 () (forall @t10 @t9)) % 0.45/0.66 (define @t12 () (@list @t1)) % 0.45/0.66 (define @t13 () (exists @t12 @t11)) % 0.45/0.66 (define @t14 () (@var "Y21" $$unsorted)) % 0.45/0.66 (define @t15 () (@var "X12" $$unsorted)) % 0.45/0.66 (define @t16 () (= @t15 @t14)) % 0.45/0.66 (define @t17 () (@var "X11" $$unsorted)) % 0.45/0.66 (define @t18 () (tptp.r2 @t17 @t15)) % 0.45/0.66 (define @t19 () (and @t18 @t16)) % 0.45/0.66 (define @t20 () (not @t16)) % 0.45/0.66 (define @t21 () (not @t18)) % 0.45/0.66 (define @t22 () (and @t21 @t20)) % 0.45/0.66 (define @t23 () (or @t22 @t19)) % 0.45/0.66 (define @t24 () (@list @t15)) % 0.45/0.66 (define @t25 () (forall @t24 @t23)) % 0.45/0.66 (define @t26 () (@list @t14)) % 0.45/0.66 (define @t27 () (exists @t26 @t25)) % 0.45/0.66 (define @t28 () (forall (@list @t17) @t27)) % 0.45/0.66 (define @t29 () (@var "Y22" $$unsorted)) % 0.45/0.66 (define @t30 () (@var "X15" $$unsorted)) % 0.45/0.66 (define @t31 () (= @t30 @t29)) % 0.45/0.66 (define @t32 () (@var "X14" $$unsorted)) % 0.45/0.66 (define @t33 () (@var "X13" $$unsorted)) % 0.45/0.66 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.45/0.66 (define @t35 () (and @t34 @t31)) % 0.45/0.66 (define @t36 () (not @t31)) % 0.45/0.66 (define @t37 () (not @t34)) % 0.45/0.66 (define @t38 () (and @t37 @t36)) % 0.45/0.66 (define @t39 () (or @t38 @t35)) % 0.45/0.66 (define @t40 () (@list @t30)) % 0.45/0.66 (define @t41 () (forall @t40 @t39)) % 0.45/0.66 (define @t42 () (@list @t29)) % 0.45/0.66 (define @t43 () (exists @t42 @t41)) % 0.45/0.66 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.45/0.66 (define @t45 () (@var "Y23" $$unsorted)) % 0.45/0.66 (define @t46 () (@var "X18" $$unsorted)) % 0.45/0.66 (define @t47 () (= @t46 @t45)) % 0.45/0.66 (define @t48 () (@var "X17" $$unsorted)) % 0.45/0.66 (define @t49 () (@var "X16" $$unsorted)) % 0.45/0.66 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.45/0.66 (define @t51 () (@var "Y7" $$unsorted)) % 0.45/0.66 (define @t52 () (@var "X8" $$unsorted)) % 0.45/0.66 (define @t53 () (@var "X1" $$unsorted)) % 0.45/0.66 (define @t54 () (tptp.r3 @t53 @t52 @t51)) % 0.45/0.66 (define @t55 () (@var "Y4" $$unsorted)) % 0.45/0.66 (define @t56 () (tptp.r2 @t51 @t55)) % 0.45/0.66 (define @t57 () (and @t56 @t54)) % 0.45/0.66 (define @t58 () (@list @t51)) % 0.45/0.66 (define @t59 () (exists @t58 @t57)) % 0.45/0.66 (define @t60 () (@var "Y5" $$unsorted)) % 0.45/0.66 (define @t61 () (= @t60 @t55)) % 0.45/0.66 (define @t62 () (@var "Y15" $$unsorted)) % 0.45/0.66 (define @t63 () (tptp.r3 @t53 @t62 @t60)) % 0.45/0.66 (define @t64 () (tptp.r2 @t52 @t62)) % 0.45/0.66 (define @t65 () (and @t64 @t63)) % 0.45/0.66 (define @t66 () (@list @t62)) % 0.45/0.66 (define @t67 () (exists @t66 @t65)) % 0.45/0.66 (define @t68 () (and @t67 @t61)) % 0.45/0.66 (define @t69 () (@list @t60)) % 0.45/0.66 (define @t70 () (exists @t69 @t68)) % 0.45/0.66 (define @t71 () (and @t70 @t59)) % 0.45/0.66 (define @t72 () (@list @t55)) % 0.45/0.66 (define @t73 () (exists @t72 @t71)) % 0.45/0.66 (define @t74 () (forall (@list @t53 @t52) @t73)) % 0.45/0.66 (define @t75 () (@var "Y6" $$unsorted)) % 0.45/0.66 (define @t76 () (@var "X9" $$unsorted)) % 0.45/0.66 (define @t77 () (@var "X2" $$unsorted)) % 0.45/0.66 (define @t78 () (tptp.r4 @t77 @t76 @t75)) % 0.45/0.66 (define @t79 () (@var "Y2" $$unsorted)) % 0.45/0.66 (define @t80 () (tptp.r3 @t75 @t77 @t79)) % 0.45/0.66 (define @t81 () (and @t80 @t78)) % 0.45/0.66 (define @t82 () (@list @t75)) % 0.45/0.66 (define @t83 () (exists @t82 @t81)) % 0.45/0.66 (define @t84 () (@var "Y3" $$unsorted)) % 0.45/0.66 (define @t85 () (= @t84 @t79)) % 0.45/0.66 (define @t86 () (@var "Y14" $$unsorted)) % 0.45/0.66 (define @t87 () (tptp.r4 @t77 @t86 @t84)) % 0.45/0.66 (define @t88 () (tptp.r2 @t76 @t86)) % 0.45/0.66 (define @t89 () (and @t88 @t87)) % 0.45/0.66 (define @t90 () (@list @t86)) % 0.45/0.66 (define @t91 () (exists @t90 @t89)) % 0.45/0.66 (define @t92 () (and @t91 @t85)) % 0.45/0.66 (define @t93 () (@list @t84)) % 0.45/0.66 (define @t94 () (exists @t93 @t92)) % 0.45/0.66 (define @t95 () (and @t94 @t83)) % 0.45/0.66 (define @t96 () (@list @t79)) % 0.45/0.66 (define @t97 () (exists @t96 @t95)) % 0.45/0.66 (define @t98 () (forall (@list @t77 @t76) @t97)) % 0.45/0.66 (define @t99 () (@var "X10" $$unsorted)) % 0.45/0.66 (define @t100 () (@var "X3" $$unsorted)) % 0.45/0.66 (define @t101 () (= @t100 @t99)) % 0.45/0.66 (define @t102 () (@var "Y12" $$unsorted)) % 0.45/0.66 (define @t103 () (not (tptp.r2 @t99 @t102))) % 0.45/0.66 (define @t104 () (@var "Y13" $$unsorted)) % 0.45/0.66 (define @t105 () (not (= @t104 @t102))) % 0.45/0.66 (define @t106 () (not (tptp.r2 @t100 @t104))) % 0.45/0.66 (define @t107 () (or @t106 @t105)) % 0.45/0.66 (define @t108 () (@list @t104)) % 0.45/0.66 (define @t109 () (forall @t108 @t107)) % 0.45/0.66 (define @t110 () (or @t109 @t103)) % 0.45/0.66 (define @t111 () (@list @t102)) % 0.45/0.66 (define @t112 () (forall @t111 @t110)) % 0.45/0.66 (define @t113 () (or @t112 @t101)) % 0.45/0.66 (define @t114 () (@list @t100 @t99)) % 0.45/0.66 (define @t115 () (forall @t114 @t113)) % 0.45/0.66 (define @t116 () (@var "X4" $$unsorted)) % 0.45/0.66 (define @t117 () (@var "Y9" $$unsorted)) % 0.45/0.66 (define @t118 () (= @t117 @t116)) % 0.45/0.66 (define @t119 () (@var "Y16" $$unsorted)) % 0.45/0.66 (define @t120 () (tptp.r3 @t116 @t119 @t117)) % 0.45/0.66 (define @t121 () (tptp.r1 @t119)) % 0.45/0.66 (define @t122 () (and @t121 @t120)) % 0.45/0.66 (define @t123 () (@list @t119)) % 0.45/0.66 (define @t124 () (exists @t123 @t122)) % 0.45/0.66 (define @t125 () (and @t124 @t118)) % 0.45/0.66 (define @t126 () (@list @t117)) % 0.45/0.66 (define @t127 () (exists @t126 @t125)) % 0.45/0.66 (define @t128 () (forall (@list @t116) @t127)) % 0.45/0.66 (define @t129 () (@var "Y18" $$unsorted)) % 0.45/0.66 (define @t130 () (@var "Y8" $$unsorted)) % 0.45/0.66 (define @t131 () (@var "Y17" $$unsorted)) % 0.45/0.66 (define @t132 () (@var "X5" $$unsorted)) % 0.45/0.66 (define @t133 () (@var "Y11" $$unsorted)) % 0.45/0.66 (define @t134 () (@var "X6" $$unsorted)) % 0.45/0.66 (define @t135 () (= @t134 @t133)) % 0.45/0.66 (define @t136 () (@var "Y1" $$unsorted)) % 0.45/0.66 (define @t137 () (tptp.r2 @t136 @t133)) % 0.45/0.66 (define @t138 () (and @t137 @t135)) % 0.45/0.66 (define @t139 () (@list @t136 @t133)) % 0.45/0.66 (define @t140 () (exists @t139 @t138)) % 0.45/0.66 (define @t141 () (@var "Y19" $$unsorted)) % 0.45/0.66 (define @t142 () (= @t134 @t141)) % 0.45/0.66 (define @t143 () (tptp.r1 @t141)) % 0.45/0.66 (define @t144 () (and @t143 @t142)) % 0.45/0.66 (define @t145 () (@list @t141)) % 0.45/0.66 (define @t146 () (exists @t145 @t144)) % 0.45/0.66 (define @t147 () (or @t146 @t140)) % 0.45/0.66 (define @t148 () (forall (@list @t134) @t147)) % 0.45/0.66 (define @t149 () (@var "Y10" $$unsorted)) % 0.45/0.66 (define @t150 () (@var "X7" $$unsorted)) % 0.45/0.66 (define @t151 () (not (tptp.r2 @t150 @t149))) % 0.45/0.66 (define @t152 () (@var "Y20" $$unsorted)) % 0.45/0.66 (define @t153 () (not (= @t152 @t149))) % 0.45/0.66 (define @t154 () (not (tptp.r1 @t152))) % 0.45/0.66 (define @t155 () (or @t154 @t153)) % 0.45/0.66 (define @t156 () (@list @t152)) % 0.45/0.66 (define @t157 () (forall @t156 @t155)) % 0.45/0.66 (define @t158 () (or @t157 @t151)) % 0.45/0.66 (define @t159 () (forall (@list @t150 @t149) @t158)) % 0.45/0.66 (define @t160 () (not (= @t136 @t55))) % 0.45/0.66 (define @t161 () (not (tptp.r1 @t55))) % 0.45/0.66 (define @t162 () (or @t161 @t160)) % 0.45/0.66 (define @t163 () (forall @t72 @t162)) % 0.45/0.66 (define @t164 () (not (= @t136 @t79))) % 0.45/0.66 (define @t165 () (forall @t93 (or (not (tptp.r1 @t84)) (not (tptp.r2 @t84 @t79))))) % 0.45/0.66 (define @t166 () (or @t165 @t164)) % 0.45/0.66 (define @t167 () (forall @t96 @t166)) % 0.45/0.66 (define @t168 () (and @t167 @t163)) % 0.45/0.66 (define @t169 () (@list @t136)) % 0.45/0.66 (define @t170 () (exists @t169 @t168)) % 0.45/0.66 (define @t171 () (not @t170)) % 0.45/0.66 (define @t172 () (not (tptp.r1 @t149))) % 0.45/0.66 (define @t173 () (not (= @t149 @t149))) % 0.45/0.66 (define @t174 () (or @t172 @t173)) % 0.45/0.66 (define @t175 () (not (= @t149 @t152))) % 0.45/0.66 (define @t176 () (or @t175 @t154 @t175)) % 0.45/0.66 (define @t177 () (or @t154 @t175)) % 0.45/0.66 (define @t178 () (tptp.r1 @t1)) % 0.45/0.66 (define @t179 () (@var "BOUND_VARIABLE_7642" $$unsorted)) % 0.45/0.66 (define @t180 () (tptp.r1 @t179)) % 0.45/0.66 (define @t181 () (not @t180)) % 0.45/0.66 (define @t182 () (@list @t179)) % 0.45/0.66 (define @t183 () (forall @t182 (or @t181 (and @t180 (= @t1 @t179))))) % 0.45/0.66 (define @t184 () (forall @t12 (or (not @t183) (not @t178)))) % 0.45/0.66 (define @t185 () (@quantifiers_skolemize @t184 0)) % 0.45/0.66 (define @t186 () (@list @t185 @t185)) % 0.45/0.66 (define @t187 () (and @t183 @t178)) % 0.45/0.66 (define @t188 () (forall @t12 (not @t187))) % 0.45/0.66 (define @t189 () (not @t188)) % 0.45/0.66 (define @t190 () (= @t1 @t1)) % 0.45/0.66 (define @t191 () (and @t178 @t190)) % 0.45/0.66 (define @t192 () (not @t190)) % 0.45/0.66 (define @t193 () (or @t192 @t191)) % 0.45/0.66 (define @t194 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 0.45/0.66 (define @t195 () (= @t1 @t194)) % 0.45/0.66 (define @t196 () (and (tptp.r1 @t194) @t195)) % 0.45/0.66 (define @t197 () (not @t195)) % 0.45/0.66 (define @t198 () (@list @t194)) % 0.45/0.66 (define @t199 () (or @t197 @t197 @t196)) % 0.45/0.66 (define @t200 () (or @t197 @t196)) % 0.45/0.66 (define @t201 () (forall @t198 @t200)) % 0.45/0.66 (define @t202 () (= @t1 @t2)) % 0.45/0.66 (define @t203 () (and @t4 @t202)) % 0.45/0.66 (define @t204 () (not @t202)) % 0.45/0.66 (define @t205 () (or @t204 @t203)) % 0.45/0.66 (define @t206 () (forall @t10 @t205)) % 0.45/0.66 (define @t207 () (@list @t2)) % 0.45/0.66 (define @t208 () (or @t7 @t203)) % 0.45/0.66 (define @t209 () (forall @t10 @t208)) % 0.45/0.66 (define @t210 () (and @t209 @t206)) % 0.45/0.66 (define @t211 () (tptp.r1 @t185)) % 0.45/0.66 (define @t212 () (not @t211)) % 0.45/0.66 (define @t213 () (forall @t182 (or @t181 (and @t180 (= @t179 @t185))))) % 0.45/0.66 (define @t214 () (not @t213)) % 0.45/0.66 (define @t215 () (or @t214 @t212)) % 0.45/0.66 (define @t216 () (not @t215)) % 0.45/0.66 (define @t217 () (not @t184)) % 0.45/0.66 (define @t218 () (and @t180 (= @t185 @t179))) % 0.45/0.66 (define @t219 () (or @t181 @t218)) % 0.45/0.66 (define @t220 () (forall @t182 @t219)) % 0.45/0.66 (define @t221 () (not @t220)) % 0.45/0.66 (define @t222 () (or @t221 @t212)) % 0.45/0.66 (define @t223 () (not @t222)) % 0.45/0.66 (define @t224 () (@list true)) % 0.45/0.66 (define @t225 () (@list @t215)) % 0.45/0.66 (define @t226 () (not (tptp.r2 @t185 @t185))) % 0.45/0.66 (define @t227 () (or @t212 @t226)) % 0.45/0.66 (define @t228 () (@list false false)) % 0.45/0.66 (define @t229 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 0.45/0.66 (define @t230 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 0.45/0.66 (define @t231 () (= @t14 @t230)) % 0.45/0.66 (define @t232 () (tptp.r2 @t185 @t230)) % 0.45/0.66 (define @t233 () (not @t232)) % 0.45/0.66 (define @t234 () (@list @t230)) % 0.45/0.66 (define @t235 () (forall @t26 (or (not (forall @t234 (or @t233 (and @t232 @t231)))) (not (tptp.r2 @t185 @t14))))) % 0.45/0.66 (define @t236 () (@quantifiers_skolemize @t235 0)) % 0.45/0.66 (define @t237 () (not (tptp.r3 @t229 @t185 @t79))) % 0.45/0.66 (define @t238 () (@var "BOUND_VARIABLE_7955" $$unsorted)) % 0.45/0.66 (define @t239 () (not (tptp.r4 @t185 @t238 @t79))) % 0.45/0.66 (define @t240 () (@list @t79 @t238 @t229)) % 0.45/0.66 (define @t241 () (forall @t240 (or (not (tptp.r2 @t236 @t238)) @t239 @t237 (not (tptp.r4 @t185 @t236 @t229))))) % 0.45/0.66 (define @t242 () (@quantifiers_skolemize @t241 1)) % 0.45/0.66 (define @t243 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 0.45/0.66 (define @t244 () (not (tptp.r1 @t243))) % 0.45/0.66 (define @t245 () (@list @t243)) % 0.45/0.66 (define @t246 () (forall @t245 (or @t244 (not (tptp.r2 @t243 @t242))))) % 0.45/0.66 (define @t247 () (@quantifiers_skolemize @t246 0)) % 0.45/0.66 (define @t248 () (tptp.r1 @t247)) % 0.45/0.66 (define @t249 () (and @t248 (= @t247 @t185))) % 0.45/0.66 (define @t250 () (not @t248)) % 0.45/0.66 (define @t251 () (or @t250 @t249)) % 0.45/0.66 (define @t252 () (= @t185 @t247)) % 0.45/0.66 (define @t253 () (and @t248 @t252)) % 0.45/0.66 (define @t254 () (or @t250 @t253)) % 0.45/0.66 (define @t255 () (@list false)) % 0.45/0.66 (define @t256 () (@list @t213)) % 0.45/0.66 (define @t257 () (tptp.r1 @t136)) % 0.45/0.66 (define @t258 () (not (tptp.r2 @t243 @t136))) % 0.45/0.66 (define @t259 () (or @t244 @t258)) % 0.45/0.66 (define @t260 () (forall @t245 @t259)) % 0.45/0.66 (define @t261 () (not @t260)) % 0.45/0.66 (define @t262 () (not @t257)) % 0.45/0.66 (define @t263 () (and @t260 @t262)) % 0.45/0.66 (define @t264 () (forall @t169 (not @t263))) % 0.45/0.66 (define @t265 () (not @t264)) % 0.45/0.66 (define @t266 () (not (= @t136 @t136))) % 0.45/0.66 (define @t267 () (or @t262 @t266)) % 0.45/0.66 (define @t268 () (not (= @t55 @t136))) % 0.45/0.66 (define @t269 () (or @t268 @t161 @t268)) % 0.45/0.66 (define @t270 () (or @t161 @t268)) % 0.45/0.66 (define @t271 () (or @t266 @t244 @t258)) % 0.45/0.66 (define @t272 () (not (tptp.r2 @t243 @t79))) % 0.45/0.66 (define @t273 () (not (= @t79 @t136))) % 0.45/0.66 (define @t274 () (or @t273 @t273 @t244 @t272)) % 0.45/0.66 (define @t275 () (or @t273 @t244 @t272)) % 0.45/0.66 (define @t276 () (forall @t96 @t275)) % 0.45/0.66 (define @t277 () (forall @t245 @t276)) % 0.45/0.66 (define @t278 () (forall (@list @t243 @t79) @t275)) % 0.45/0.66 (define @t279 () (@list @t79 @t243)) % 0.45/0.66 (define @t280 () (or @t244 @t272)) % 0.45/0.66 (define @t281 () (or @t280 @t273)) % 0.45/0.66 (define @t282 () (forall @t279 @t281)) % 0.45/0.66 (define @t283 () (forall @t245 @t281)) % 0.45/0.66 (define @t284 () (forall @t245 @t280)) % 0.45/0.66 (define @t285 () (or @t284 @t273)) % 0.45/0.66 (define @t286 () (@list @t242)) % 0.45/0.66 (define @t287 () (not (tptp.r4 @t77 @t76 @t229))) % 0.45/0.66 (define @t288 () (not (tptp.r3 @t229 @t77 @t79))) % 0.45/0.66 (define @t289 () (not (tptp.r4 @t77 @t238 @t79))) % 0.45/0.66 (define @t290 () (not (tptp.r2 @t76 @t238))) % 0.45/0.66 (define @t291 () (or @t288 @t287)) % 0.45/0.66 (define @t292 () (or @t290 @t289)) % 0.45/0.66 (define @t293 () (or @t292 @t291)) % 0.45/0.66 (define @t294 () (forall @t240 @t293)) % 0.45/0.66 (define @t295 () (forall (@list @t238 @t229) @t293)) % 0.45/0.66 (define @t296 () (forall (@list @t229) @t291)) % 0.45/0.66 (define @t297 () (forall (@list @t238) @t292)) % 0.45/0.66 (define @t298 () (@var "BOUND_VARIABLE_7917" $$unsorted)) % 0.45/0.66 (define @t299 () (@list @t298)) % 0.45/0.66 (define @t300 () (or @t297 @t296)) % 0.45/0.66 (define @t301 () (forall @t82 (or (not @t80) (not @t78)))) % 0.45/0.66 (define @t302 () (not (tptp.r4 @t77 @t298 @t79))) % 0.45/0.66 (define @t303 () (not (tptp.r2 @t76 @t298))) % 0.45/0.66 (define @t304 () (or @t303 @t302)) % 0.45/0.66 (define @t305 () (@list @t298)) % 0.45/0.66 (define @t306 () (forall @t305 @t304)) % 0.45/0.66 (define @t307 () (not @t301)) % 0.45/0.66 (define @t308 () (not @t306)) % 0.45/0.66 (define @t309 () (and @t308 @t307)) % 0.45/0.66 (define @t310 () (forall @t96 (not @t309))) % 0.45/0.66 (define @t311 () (not @t310)) % 0.45/0.66 (define @t312 () (forall @t82 (not @t81))) % 0.45/0.66 (define @t313 () (not @t312)) % 0.45/0.66 (define @t314 () (not (= @t79 @t79))) % 0.45/0.66 (define @t315 () (or @t314 @t303 @t302)) % 0.45/0.66 (define @t316 () (not (tptp.r4 @t77 @t298 @t84))) % 0.45/0.66 (define @t317 () (= @t79 @t84)) % 0.45/0.66 (define @t318 () (not @t317)) % 0.45/0.66 (define @t319 () (or @t318 @t318 @t303 @t316)) % 0.45/0.66 (define @t320 () (or @t318 @t303 @t316)) % 0.45/0.66 (define @t321 () (forall @t93 @t320)) % 0.45/0.66 (define @t322 () (forall @t305 @t321)) % 0.45/0.66 (define @t323 () (forall (@list @t298 @t84) @t320)) % 0.45/0.66 (define @t324 () (@list @t84 @t298)) % 0.45/0.66 (define @t325 () (or @t303 @t316)) % 0.45/0.66 (define @t326 () (or @t325 @t318)) % 0.45/0.66 (define @t327 () (forall @t324 @t326)) % 0.45/0.66 (define @t328 () (forall @t305 @t326)) % 0.45/0.66 (define @t329 () (forall @t305 @t325)) % 0.45/0.66 (define @t330 () (or @t329 @t318)) % 0.45/0.66 (define @t331 () (forall @t90 (or (not @t88) (not @t87)))) % 0.45/0.66 (define @t332 () (not @t331)) % 0.45/0.66 (define @t333 () (and @t332 @t317)) % 0.45/0.66 (define @t334 () (forall @t93 (not @t333))) % 0.45/0.66 (define @t335 () (not @t334)) % 0.45/0.66 (define @t336 () (forall @t90 (not @t89))) % 0.45/0.66 (define @t337 () (not @t336)) % 0.45/0.66 (define @t338 () (@list @t185 @t236)) % 0.45/0.66 (define @t339 () (tptp.r2 @t236 @t242)) % 0.45/0.66 (define @t340 () (@quantifiers_skolemize @t241 2)) % 0.45/0.66 (define @t341 () (@quantifiers_skolemize @t241 0)) % 0.45/0.66 (define @t342 () (not @t339)) % 0.45/0.66 (define @t343 () (or @t342 (not (tptp.r4 @t185 @t242 @t341)) (not (tptp.r3 @t340 @t185 @t341)) (not (tptp.r4 @t185 @t236 @t340)))) % 0.45/0.66 (define @t344 () (tptp.r1 @t242)) % 0.45/0.66 (define @t345 () (not @t344)) % 0.45/0.66 (define @t346 () (or @t345 @t342)) % 0.45/0.66 (define @t347 () (not @t246)) % 0.45/0.66 (define @t348 () (or @t347 @t344)) % 0.45/0.66 (define @t349 () (@list true false)) % 0.45/0.66 (define @t350 () (tptp.r2 @t247 @t242)) % 0.45/0.66 (define @t351 () (not @t350)) % 0.45/0.66 (define @t352 () (or @t250 @t351)) % 0.45/0.66 (define @t353 () (@list @t352)) % 0.45/0.66 (define @t354 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 0.45/0.66 (define @t355 () (not (tptp.r2 @t99 @t354))) % 0.45/0.66 (define @t356 () (not (tptp.r2 @t100 @t354))) % 0.45/0.66 (define @t357 () (or @t101 @t356 @t355)) % 0.45/0.66 (define @t358 () (or @t356 @t355)) % 0.45/0.66 (define @t359 () (or @t358 @t101)) % 0.45/0.66 (define @t360 () (@list @t100 @t99 @t354)) % 0.45/0.66 (define @t361 () (forall @t360 @t359)) % 0.45/0.66 (define @t362 () (@list @t354)) % 0.45/0.66 (define @t363 () (forall @t362 @t359)) % 0.45/0.66 (define @t364 () (forall @t362 @t358)) % 0.45/0.66 (define @t365 () (or @t364 @t101)) % 0.45/0.66 (define @t366 () (not (tptp.r2 @t100 @t102))) % 0.45/0.66 (define @t367 () (not (= @t102 @t102))) % 0.45/0.66 (define @t368 () (or @t366 @t367)) % 0.45/0.66 (define @t369 () (not (= @t102 @t104))) % 0.45/0.66 (define @t370 () (or @t369 @t106 @t369)) % 0.45/0.66 (define @t371 () (or @t106 @t369)) % 0.45/0.66 (define @t372 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 0.45/0.66 (define @t373 () (not (tptp.r2 @t372 @t55))) % 0.45/0.66 (define @t374 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 0.45/0.66 (define @t375 () (not (tptp.r3 @t185 @t374 @t55))) % 0.45/0.66 (define @t376 () (@list @t55 @t374 @t372)) % 0.45/0.66 (define @t377 () (forall @t376 (or (not (tptp.r2 @t236 @t374)) @t375 @t373 (not (tptp.r3 @t185 @t236 @t372))))) % 0.45/0.66 (define @t378 () (@quantifiers_skolemize @t377 0)) % 0.45/0.66 (define @t379 () (forall @t169 (not (tptp.r2 @t136 @t378)))) % 0.45/0.66 (define @t380 () (@quantifiers_skolemize @t379 0)) % 0.45/0.66 (define @t381 () (tptp.r2 @t380 @t242)) % 0.45/0.66 (define @t382 () (not @t381)) % 0.45/0.66 (define @t383 () (or (= @t247 @t380) @t351 @t382)) % 0.45/0.66 (define @t384 () (forall @t360 @t357)) % 0.45/0.66 (define @t385 () (= @t380 @t247)) % 0.45/0.66 (define @t386 () (or @t385 @t351 @t382)) % 0.45/0.66 (define @t387 () (@list @t384)) % 0.45/0.66 (define @t388 () (not (tptp.r2 @t136 @t134))) % 0.45/0.66 (define @t389 () (not (= @t134 @t134))) % 0.45/0.66 (define @t390 () (or @t388 @t389)) % 0.45/0.66 (define @t391 () (not @t135)) % 0.45/0.66 (define @t392 () (not @t137)) % 0.45/0.66 (define @t393 () (@list @t133)) % 0.45/0.66 (define @t394 () (or @t391 @t392 @t391)) % 0.45/0.66 (define @t395 () (or @t392 @t391)) % 0.45/0.66 (define @t396 () (forall @t393 @t395)) % 0.45/0.66 (define @t397 () (forall @t169 @t396)) % 0.45/0.66 (define @t398 () (forall @t139 (not @t138))) % 0.45/0.66 (define @t399 () (not @t398)) % 0.45/0.66 (define @t400 () (tptp.r1 @t134)) % 0.45/0.66 (define @t401 () (not @t400)) % 0.45/0.66 (define @t402 () (or @t401 @t389)) % 0.45/0.66 (define @t403 () (not @t142)) % 0.45/0.66 (define @t404 () (not @t143)) % 0.45/0.66 (define @t405 () (or @t403 @t404 @t403)) % 0.45/0.66 (define @t406 () (or @t404 @t403)) % 0.45/0.66 (define @t407 () (forall @t145 (not @t144))) % 0.45/0.66 (define @t408 () (not @t407)) % 0.45/0.66 (define @t409 () (@list @t378)) % 0.45/0.66 (define @t410 () (@quantifiers_skolemize @t377 2)) % 0.45/0.66 (define @t411 () (not (tptp.r3 @t53 @t52 @t372))) % 0.45/0.66 (define @t412 () (not (tptp.r3 @t53 @t374 @t55))) % 0.45/0.66 (define @t413 () (not (tptp.r2 @t52 @t374))) % 0.45/0.66 (define @t414 () (or @t373 @t411)) % 0.45/0.66 (define @t415 () (or @t413 @t412)) % 0.45/0.66 (define @t416 () (or @t415 @t414)) % 0.45/0.66 (define @t417 () (forall @t376 @t416)) % 0.45/0.66 (define @t418 () (forall (@list @t374 @t372) @t416)) % 0.45/0.66 (define @t419 () (forall (@list @t372) @t414)) % 0.45/0.66 (define @t420 () (forall (@list @t374) @t415)) % 0.45/0.66 (define @t421 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 0.45/0.66 (define @t422 () (@list @t421)) % 0.45/0.66 (define @t423 () (or @t420 @t419)) % 0.45/0.66 (define @t424 () (forall @t58 (or (not @t56) (not @t54)))) % 0.45/0.66 (define @t425 () (not (tptp.r3 @t53 @t421 @t55))) % 0.45/0.66 (define @t426 () (not (tptp.r2 @t52 @t421))) % 0.45/0.66 (define @t427 () (or @t426 @t425)) % 0.45/0.66 (define @t428 () (@list @t421)) % 0.45/0.66 (define @t429 () (forall @t428 @t427)) % 0.45/0.66 (define @t430 () (not @t424)) % 0.45/0.66 (define @t431 () (not @t429)) % 0.45/0.66 (define @t432 () (and @t431 @t430)) % 0.45/0.66 (define @t433 () (forall @t72 (not @t432))) % 0.45/0.66 (define @t434 () (not @t433)) % 0.45/0.66 (define @t435 () (forall @t58 (not @t57))) % 0.45/0.66 (define @t436 () (not @t435)) % 0.45/0.66 (define @t437 () (not (= @t55 @t55))) % 0.45/0.66 (define @t438 () (or @t437 @t426 @t425)) % 0.45/0.66 (define @t439 () (not (tptp.r3 @t53 @t421 @t60))) % 0.45/0.66 (define @t440 () (= @t55 @t60)) % 0.45/0.66 (define @t441 () (not @t440)) % 0.45/0.66 (define @t442 () (or @t441 @t441 @t426 @t439)) % 0.45/0.66 (define @t443 () (or @t441 @t426 @t439)) % 0.45/0.66 (define @t444 () (forall @t69 @t443)) % 0.45/0.66 (define @t445 () (forall @t428 @t444)) % 0.45/0.66 (define @t446 () (forall (@list @t421 @t60) @t443)) % 0.45/0.66 (define @t447 () (@list @t60 @t421)) % 0.45/0.66 (define @t448 () (or @t426 @t439)) % 0.45/0.66 (define @t449 () (or @t448 @t441)) % 0.45/0.66 (define @t450 () (forall @t447 @t449)) % 0.45/0.66 (define @t451 () (forall @t428 @t449)) % 0.45/0.66 (define @t452 () (forall @t428 @t448)) % 0.45/0.66 (define @t453 () (or @t452 @t441)) % 0.45/0.66 (define @t454 () (forall @t66 (or (not @t64) (not @t63)))) % 0.45/0.66 (define @t455 () (not @t454)) % 0.45/0.66 (define @t456 () (and @t455 @t440)) % 0.45/0.66 (define @t457 () (forall @t69 (not @t456))) % 0.45/0.66 (define @t458 () (not @t457)) % 0.45/0.66 (define @t459 () (forall @t66 (not @t65))) % 0.45/0.66 (define @t460 () (not @t459)) % 0.45/0.66 (define @t461 () (tptp.r2 @t410 @t378)) % 0.45/0.66 (define @t462 () (tptp.r3 @t185 @t236 @t410)) % 0.45/0.66 (define @t463 () (not @t462)) % 0.45/0.66 (define @t464 () (not @t461)) % 0.45/0.66 (define @t465 () (@quantifiers_skolemize @t377 1)) % 0.45/0.66 (define @t466 () (or (not (tptp.r2 @t236 @t465)) (not (tptp.r3 @t185 @t465 @t378)) @t464 @t463)) % 0.45/0.66 (define @t467 () (@list @t466)) % 0.45/0.66 (define @t468 () (tptp.r1 @t378)) % 0.45/0.66 (define @t469 () (not @t468)) % 0.45/0.66 (define @t470 () (or @t469 @t464)) % 0.45/0.66 (define @t471 () (not @t379)) % 0.45/0.66 (define @t472 () (or @t468 @t471)) % 0.45/0.66 (define @t473 () (tptp.r2 @t380 @t378)) % 0.45/0.66 (define @t474 () (not @t473)) % 0.45/0.66 (define @t475 () (not @t474)) % 0.45/0.66 (define @t476 () (tptp.r2 @t17 @t230)) % 0.45/0.66 (define @t477 () (forall @t234 (or (not @t476) (and @t476 @t231)))) % 0.45/0.66 (define @t478 () (tptp.r2 @t17 @t14)) % 0.45/0.66 (define @t479 () (and @t477 @t478)) % 0.45/0.66 (define @t480 () (forall @t26 (not @t479))) % 0.45/0.66 (define @t481 () (not @t480)) % 0.45/0.66 (define @t482 () (= @t14 @t14)) % 0.45/0.66 (define @t483 () (and @t478 @t482)) % 0.45/0.66 (define @t484 () (not @t482)) % 0.45/0.66 (define @t485 () (or @t484 @t483)) % 0.45/0.66 (define @t486 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 0.45/0.66 (define @t487 () (= @t14 @t486)) % 0.45/0.66 (define @t488 () (and (tptp.r2 @t17 @t486) @t487)) % 0.45/0.66 (define @t489 () (not @t487)) % 0.45/0.66 (define @t490 () (@list @t486)) % 0.45/0.66 (define @t491 () (or @t489 @t489 @t488)) % 0.45/0.66 (define @t492 () (or @t489 @t488)) % 0.45/0.66 (define @t493 () (forall @t490 @t492)) % 0.45/0.66 (define @t494 () (= @t14 @t15)) % 0.45/0.66 (define @t495 () (and @t18 @t494)) % 0.45/0.66 (define @t496 () (not @t494)) % 0.45/0.66 (define @t497 () (or @t496 @t495)) % 0.45/0.66 (define @t498 () (forall @t24 @t497)) % 0.45/0.66 (define @t499 () (@list @t15)) % 0.45/0.66 (define @t500 () (or @t21 @t495)) % 0.45/0.66 (define @t501 () (forall @t24 @t500)) % 0.45/0.66 (define @t502 () (and @t501 @t498)) % 0.45/0.66 (define @t503 () (tptp.r2 @t236 @t230)) % 0.45/0.66 (define @t504 () (not @t503)) % 0.45/0.66 (define @t505 () (forall @t26 (or (not (forall @t234 (or @t504 (and @t503 @t231)))) (not (tptp.r2 @t236 @t14))))) % 0.45/0.66 (define @t506 () (@quantifiers_skolemize @t505 0)) % 0.45/0.66 (define @t507 () (not (tptp.r2 @t236 @t506))) % 0.45/0.66 (define @t508 () (forall @t234 (or @t504 (and @t503 (= @t230 @t506))))) % 0.45/0.66 (define @t509 () (not @t508)) % 0.45/0.66 (define @t510 () (or @t509 @t507)) % 0.45/0.66 (define @t511 () (not @t510)) % 0.45/0.66 (define @t512 () (not @t505)) % 0.45/0.66 (define @t513 () (and @t503 (= @t506 @t230))) % 0.45/0.66 (define @t514 () (or @t504 @t513)) % 0.45/0.66 (define @t515 () (forall @t234 @t514)) % 0.45/0.66 (define @t516 () (not @t515)) % 0.45/0.66 (define @t517 () (or @t516 @t507)) % 0.45/0.66 (define @t518 () (not @t517)) % 0.45/0.66 (define @t519 () (tptp.r2 @t236 @t378)) % 0.45/0.66 (define @t520 () (and @t519 (= @t378 @t506))) % 0.45/0.66 (define @t521 () (not @t519)) % 0.45/0.66 (define @t522 () (or @t521 @t520)) % 0.45/0.66 (define @t523 () (= @t506 @t378)) % 0.45/0.66 (define @t524 () (and @t519 @t523)) % 0.45/0.66 (define @t525 () (or @t521 @t524)) % 0.45/0.66 (define @t526 () (@list @t508)) % 0.45/0.66 (define @t527 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 0.45/0.66 (define @t528 () (= @t29 @t527)) % 0.45/0.66 (define @t529 () (tptp.r3 @t33 @t32 @t527)) % 0.45/0.66 (define @t530 () (@list @t527)) % 0.45/0.66 (define @t531 () (forall @t530 (or (not @t529) (and @t529 @t528)))) % 0.45/0.66 (define @t532 () (tptp.r3 @t33 @t32 @t29)) % 0.45/0.66 (define @t533 () (and @t531 @t532)) % 0.45/0.66 (define @t534 () (forall @t42 (not @t533))) % 0.45/0.66 (define @t535 () (not @t534)) % 0.45/0.66 (define @t536 () (= @t29 @t29)) % 0.45/0.66 (define @t537 () (and @t532 @t536)) % 0.45/0.66 (define @t538 () (not @t536)) % 0.45/0.66 (define @t539 () (or @t538 @t537)) % 0.45/0.66 (define @t540 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.45/0.66 (define @t541 () (= @t29 @t540)) % 0.45/0.66 (define @t542 () (and (tptp.r3 @t33 @t32 @t540) @t541)) % 0.45/0.66 (define @t543 () (not @t541)) % 0.45/0.66 (define @t544 () (@list @t540)) % 0.45/0.66 (define @t545 () (or @t543 @t543 @t542)) % 0.45/0.66 (define @t546 () (or @t543 @t542)) % 0.45/0.66 (define @t547 () (forall @t544 @t546)) % 0.45/0.66 (define @t548 () (= @t29 @t30)) % 0.45/0.66 (define @t549 () (and @t34 @t548)) % 0.45/0.66 (define @t550 () (not @t548)) % 0.45/0.66 (define @t551 () (or @t550 @t549)) % 0.45/0.66 (define @t552 () (forall @t40 @t551)) % 0.45/0.66 (define @t553 () (@list @t30)) % 0.45/0.66 (define @t554 () (or @t37 @t549)) % 0.45/0.66 (define @t555 () (forall @t40 @t554)) % 0.45/0.66 (define @t556 () (and @t555 @t552)) % 0.45/0.66 (define @t557 () (tptp.r3 @t185 @t236 @t527)) % 0.45/0.66 (define @t558 () (not @t557)) % 0.45/0.66 (define @t559 () (forall @t42 (or (not (forall @t530 (or @t558 (and @t557 @t528)))) (not (tptp.r3 @t185 @t236 @t29))))) % 0.45/0.66 (define @t560 () (@quantifiers_skolemize @t559 0)) % 0.45/0.66 (define @t561 () (not (tptp.r3 @t185 @t236 @t560))) % 0.45/0.66 (define @t562 () (forall @t530 (or @t558 (and @t557 (= @t527 @t560))))) % 0.45/0.66 (define @t563 () (not @t562)) % 0.45/0.66 (define @t564 () (or @t563 @t561)) % 0.45/0.66 (define @t565 () (not @t564)) % 0.45/0.66 (define @t566 () (not @t559)) % 0.45/0.66 (define @t567 () (and @t557 (= @t560 @t527))) % 0.45/0.66 (define @t568 () (or @t558 @t567)) % 0.45/0.66 (define @t569 () (forall @t530 @t568)) % 0.45/0.66 (define @t570 () (not @t569)) % 0.45/0.66 (define @t571 () (or @t570 @t561)) % 0.45/0.66 (define @t572 () (not @t571)) % 0.45/0.66 (define @t573 () (and @t462 (= @t410 @t560))) % 0.45/0.66 (define @t574 () (or @t463 @t573)) % 0.45/0.66 (define @t575 () (= @t560 @t410)) % 0.45/0.66 (define @t576 () (and @t462 @t575)) % 0.45/0.66 (define @t577 () (or @t463 @t576)) % 0.45/0.66 (define @t578 () (forall @t376 (or (not (tptp.r2 @t185 @t374)) @t375 @t373 (not (tptp.r3 @t185 @t185 @t372))))) % 0.45/0.66 (define @t579 () (@quantifiers_skolemize @t578 0)) % 0.45/0.66 (define @t580 () (@list @t579)) % 0.45/0.66 (define @t581 () (@quantifiers_skolemize @t578 1)) % 0.45/0.66 (define @t582 () (tptp.r3 @t185 @t581 @t579)) % 0.45/0.66 (define @t583 () (@quantifiers_skolemize @t578 2)) % 0.45/0.66 (define @t584 () (tptp.r3 @t185 @t185 @t583)) % 0.45/0.66 (define @t585 () (not @t584)) % 0.45/0.66 (define @t586 () (tptp.r2 @t583 @t579)) % 0.45/0.66 (define @t587 () (not @t586)) % 0.45/0.66 (define @t588 () (not @t582)) % 0.45/0.66 (define @t589 () (tptp.r2 @t185 @t581)) % 0.45/0.66 (define @t590 () (not @t589)) % 0.45/0.66 (define @t591 () (or @t590 @t588 @t587 @t585)) % 0.45/0.66 (define @t592 () (@list @t591)) % 0.45/0.66 (define @t593 () (@list @t185)) % 0.45/0.66 (define @t594 () (not (tptp.r2 @t185 @t236))) % 0.45/0.66 (define @t595 () (forall @t234 (or @t233 (and @t232 (= @t230 @t236))))) % 0.45/0.66 (define @t596 () (not @t595)) % 0.45/0.66 (define @t597 () (or @t596 @t594)) % 0.45/0.66 (define @t598 () (not @t597)) % 0.45/0.66 (define @t599 () (not @t235)) % 0.45/0.66 (define @t600 () (and @t232 (= @t236 @t230))) % 0.45/0.66 (define @t601 () (or @t233 @t600)) % 0.45/0.66 (define @t602 () (forall @t234 @t601)) % 0.45/0.66 (define @t603 () (not @t602)) % 0.45/0.66 (define @t604 () (or @t603 @t594)) % 0.45/0.66 (define @t605 () (not @t604)) % 0.45/0.66 (define @t606 () (and @t589 (= @t581 @t236))) % 0.45/0.66 (define @t607 () (or @t590 @t606)) % 0.45/0.66 (define @t608 () (= @t236 @t581)) % 0.45/0.66 (define @t609 () (and @t589 @t608)) % 0.45/0.66 (define @t610 () (or @t590 @t609)) % 0.45/0.66 (define @t611 () (@list @t595)) % 0.45/0.66 (define @t612 () (tptp.r3 @t185 @t236 @t579)) % 0.45/0.66 (define @t613 () (= @t579 @t560)) % 0.45/0.66 (define @t614 () (and @t612 @t613)) % 0.45/0.66 (define @t615 () (not @t612)) % 0.45/0.66 (define @t616 () (or @t615 @t614)) % 0.45/0.66 (define @t617 () (tptp.r2 @t185 @t579)) % 0.45/0.66 (define @t618 () (and @t617 (= @t579 @t236))) % 0.45/0.66 (define @t619 () (not @t617)) % 0.45/0.66 (define @t620 () (or @t619 @t618)) % 0.45/0.66 (define @t621 () (= @t236 @t579)) % 0.45/0.66 (define @t622 () (and @t617 @t621)) % 0.45/0.66 (define @t623 () (or @t619 @t622)) % 0.45/0.66 (define @t624 () (tptp.r3 @t185 @t185 @t527)) % 0.45/0.66 (define @t625 () (not @t624)) % 0.45/0.66 (define @t626 () (forall @t42 (or (not (forall @t530 (or @t625 (and @t624 @t528)))) (not (tptp.r3 @t185 @t185 @t29))))) % 0.45/0.66 (define @t627 () (@quantifiers_skolemize @t626 0)) % 0.45/0.66 (define @t628 () (not (tptp.r3 @t185 @t185 @t627))) % 0.45/0.66 (define @t629 () (forall @t530 (or @t625 (and @t624 (= @t527 @t627))))) % 0.45/0.66 (define @t630 () (not @t629)) % 0.45/0.66 (define @t631 () (or @t630 @t628)) % 0.45/0.66 (define @t632 () (not @t631)) % 0.45/0.66 (define @t633 () (not @t626)) % 0.45/0.66 (define @t634 () (and @t624 (= @t627 @t527))) % 0.45/0.66 (define @t635 () (or @t625 @t634)) % 0.45/0.66 (define @t636 () (forall @t530 @t635)) % 0.45/0.66 (define @t637 () (not @t636)) % 0.45/0.66 (define @t638 () (or @t637 @t628)) % 0.45/0.66 (define @t639 () (not @t638)) % 0.45/0.66 (define @t640 () (and @t584 (= @t583 @t627))) % 0.45/0.66 (define @t641 () (or @t585 @t640)) % 0.45/0.66 (define @t642 () (= @t627 @t583)) % 0.45/0.66 (define @t643 () (and @t584 @t642)) % 0.45/0.66 (define @t644 () (or @t585 @t643)) % 0.45/0.66 (define @t645 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 0.45/0.66 (define @t646 () (not (tptp.r3 @t116 @t645 @t116))) % 0.45/0.66 (define @t647 () (not (tptp.r1 @t645))) % 0.45/0.66 (define @t648 () (not (= @t116 @t116))) % 0.45/0.66 (define @t649 () (or @t648 @t647 @t646)) % 0.45/0.66 (define @t650 () (@list @t645)) % 0.45/0.66 (define @t651 () (not (tptp.r3 @t116 @t645 @t117))) % 0.45/0.66 (define @t652 () (= @t116 @t117)) % 0.45/0.66 (define @t653 () (not @t652)) % 0.45/0.66 (define @t654 () (or @t653 @t653 @t647 @t651)) % 0.45/0.66 (define @t655 () (or @t653 @t647 @t651)) % 0.45/0.66 (define @t656 () (forall @t126 @t655)) % 0.45/0.66 (define @t657 () (forall @t650 @t656)) % 0.45/0.66 (define @t658 () (forall (@list @t645 @t117) @t655)) % 0.45/0.66 (define @t659 () (@list @t117 @t645)) % 0.45/0.66 (define @t660 () (or @t647 @t651)) % 0.45/0.66 (define @t661 () (or @t660 @t653)) % 0.45/0.66 (define @t662 () (forall @t659 @t661)) % 0.45/0.66 (define @t663 () (forall @t650 @t661)) % 0.45/0.66 (define @t664 () (forall @t650 @t660)) % 0.45/0.66 (define @t665 () (or @t664 @t653)) % 0.45/0.66 (define @t666 () (forall @t123 (or (not @t121) (not @t120)))) % 0.45/0.66 (define @t667 () (not @t666)) % 0.45/0.66 (define @t668 () (and @t667 @t652)) % 0.45/0.66 (define @t669 () (forall @t126 (not @t668))) % 0.45/0.66 (define @t670 () (not @t669)) % 0.45/0.66 (define @t671 () (forall @t123 (not @t122))) % 0.45/0.66 (define @t672 () (not @t671)) % 0.45/0.66 (define @t673 () (@quantifiers_skolemize (forall @t650 (or @t647 (not (tptp.r3 @t185 @t645 @t185)))) 0)) % 0.45/0.66 (define @t674 () (tptp.r3 @t185 @t673 @t185)) % 0.45/0.66 (define @t675 () (not @t674)) % 0.45/0.66 (define @t676 () (tptp.r1 @t673)) % 0.45/0.66 (define @t677 () (not @t676)) % 0.45/0.66 (define @t678 () (or @t677 @t675)) % 0.45/0.66 (define @t679 () (@list @t678)) % 0.45/0.66 (define @t680 () (and @t676 (= @t673 @t185))) % 0.45/0.66 (define @t681 () (or @t677 @t680)) % 0.45/0.66 (define @t682 () (= @t185 @t673)) % 0.45/0.66 (define @t683 () (and @t676 @t682)) % 0.45/0.66 (define @t684 () (or @t677 @t683)) % 0.45/0.66 (define @t685 () (tptp.r3 @t185 @t185 @t185)) % 0.45/0.66 (define @t686 () (= @t185 @t627)) % 0.45/0.66 (define @t687 () (and @t685 @t686)) % 0.45/0.66 (define @t688 () (not @t685)) % 0.45/0.66 (define @t689 () (or @t688 @t687)) % 0.45/0.66 (define @t690 () (and @t339 (= @t242 @t506))) % 0.45/0.66 (define @t691 () (or @t342 @t690)) % 0.45/0.66 (define @t692 () (= @t506 @t242)) % 0.45/0.66 (define @t693 () (and @t339 @t692)) % 0.45/0.66 (define @t694 () (or @t342 @t693)) % 0.45/0.66 (define @t695 () (@list false false false)) % 0.45/0.66 (define @t696 () (or (= @t380 @t236) @t474 @t521)) % 0.45/0.66 (define @t697 () (= @t236 @t380)) % 0.45/0.66 (define @t698 () (or @t697 @t474 @t521)) % 0.45/0.66 (define @t699 () (forall @t240 (or (not (tptp.r2 @t185 @t238)) @t239 @t237 (not (tptp.r4 @t185 @t185 @t229))))) % 0.45/0.66 (define @t700 () (@quantifiers_skolemize @t699 1)) % 0.45/0.66 (define @t701 () (tptp.r2 @t185 @t700)) % 0.45/0.66 (define @t702 () (not @t701)) % 0.45/0.66 (define @t703 () (forall @t169 (not (tptp.r2 @t136 @t700)))) % 0.45/0.66 (define @t704 () (@quantifiers_skolemize @t703 0)) % 0.45/0.66 (define @t705 () (tptp.r2 @t704 @t700)) % 0.45/0.66 (define @t706 () (not @t705)) % 0.45/0.66 (define @t707 () (or (= @t704 @t185) @t706 @t702)) % 0.45/0.66 (define @t708 () (= @t185 @t704)) % 0.45/0.66 (define @t709 () (or @t708 @t706 @t702)) % 0.45/0.66 (define @t710 () (@list @t700)) % 0.45/0.66 (define @t711 () (@quantifiers_skolemize @t699 2)) % 0.45/0.66 (define @t712 () (@quantifiers_skolemize @t699 0)) % 0.45/0.66 (define @t713 () (or @t702 (not (tptp.r4 @t185 @t700 @t712)) (not (tptp.r3 @t711 @t185 @t712)) (not (tptp.r4 @t185 @t185 @t711)))) % 0.45/0.66 (define @t714 () (tptp.r1 @t700)) % 0.45/0.66 (define @t715 () (not @t714)) % 0.45/0.66 (define @t716 () (or @t715 @t702)) % 0.45/0.66 (define @t717 () (not @t703)) % 0.45/0.66 (define @t718 () (or @t714 @t717)) % 0.45/0.66 (define @t719 () (not @t706)) % 0.45/0.66 (define @t720 () (and @t701 (= @t700 @t236))) % 0.45/0.66 (define @t721 () (or @t702 @t720)) % 0.45/0.66 (define @t722 () (= @t236 @t700)) % 0.45/0.66 (define @t723 () (and @t701 @t722)) % 0.45/0.66 (define @t724 () (or @t702 @t723)) % 0.45/0.66 (assume @p1 @t13) % 0.45/0.66 (assume @p2 @t28) % 0.45/0.66 (assume @p3 @t44) % 0.45/0.66 (assume @p4 (forall (@list @t49 @t48) (exists (@list @t45) (forall (@list @t46) (or (and (not @t50) (not @t47)) (and @t50 @t47)))))) % 0.45/0.66 (assume @p5 @t74) % 0.45/0.66 (assume @p6 @t98) % 0.45/0.66 (assume @p7 @t115) % 0.45/0.66 (assume @p8 @t128) % 0.45/0.66 (assume @p9 (forall (@list @t132) (exists (@list @t130) (and (exists (@list @t131) (and (tptp.r1 @t131) (tptp.r4 @t132 @t131 @t130))) (exists (@list @t129) (and (tptp.r1 @t129) (= @t130 @t129))))))) % 0.45/0.66 (assume @p10 @t148) % 0.45/0.66 (assume @p11 @t159) % 0.45/0.66 (assume @p12 @t171) % 0.45/0.66 (assume @p13 true) % 0.45/0.66 (step @p14 :rule evaluate :args ((= true false))) % 0.45/0.66 (step @p15 :rule refl :args (@t151)) % 0.45/0.66 (step @p16 :rule aci_norm :args ((= (or @t172 false) @t172))) % 0.45/0.66 (step @p17 :rule evaluate :args ((not true))) % 0.45/0.66 (step @p18 :rule eq-refl :args (@t149)) % 0.45/0.66 (step @p19 :rule cong :premises (@p18) :args (@t173)) % 0.45/0.66 (step @p20 :rule trans :premises (@p19 @p17)) % 0.45/0.66 (step @p21 :rule refl :args (@t172)) % 0.45/0.66 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t174)) % 0.45/0.66 (step @p23 :rule trans :premises (@p22 @p16)) % 0.45/0.66 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t156 (or @t153 @t154 @t175)) @t174))) % 0.45/0.66 (step @p25 :rule refl :args (@t175)) % 0.45/0.66 (step @p26 :rule refl :args (@t154)) % 0.45/0.66 (step @p27 :rule eq-symm :args (@t149 @t152)) % 0.45/0.66 (step @p28 :rule cong :premises (@p27) :args (@t175)) % 0.45/0.66 (step @p29 :rule nary_cong :premises (@p28 @p26 @p25) :args (@t176)) % 0.45/0.66 (step @p30 :rule aci_norm :args ((= @t177 @t176))) % 0.45/0.66 (step @p31 :rule trans :premises (@p30 @p29)) % 0.45/0.66 (step @p32 :rule cong :premises (@p31) :args ((forall @t156 @t177))) % 0.45/0.66 (step @p33 :rule trans :premises (@p32 @p24)) % 0.45/0.66 (step @p34 :rule trans :premises (@p33 @p23)) % 0.45/0.66 (step @p35 :rule eq-symm :args (@t152 @t149)) % 0.45/0.66 (step @p36 :rule cong :premises (@p35) :args (@t153)) % 0.45/0.66 (step @p37 :rule refl :args (@t154)) % 0.45/0.66 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t155)) % 0.45/0.66 (step @p39 :rule cong :premises (@p38) :args (@t157)) % 0.45/0.66 (step @p40 :rule trans :premises (@p39 @p34)) % 0.45/0.66 (step @p41 :rule nary_cong :premises (@p40 @p15) :args (@t158)) % 0.45/0.66 (step @p42 :rule cong :premises (@p41) :args (@t159)) % 0.45/0.66 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 0.45/0.66 (step @p44 :rule instantiate :premises (@p43) :args (@t186)) % 0.45/0.66 (step @p45 :rule bool-and-de-morgan :args (@t183 @t178 true)) % 0.45/0.66 (step @p46 :rule cong :premises (@p45) :args (@t188)) % 0.45/0.66 (step @p47 :rule cong :premises (@p46) :args (@t189)) % 0.45/0.66 (step @p48 :rule exists-elim :args ((= (exists @t12 @t187) @t189))) % 0.45/0.66 (step @p49 :rule trans :premises (@p48 @p47)) % 0.45/0.66 (step @p50 :rule aci_norm :args ((= (or false @t178) @t178))) % 0.45/0.66 (step @p51 :rule aci_norm :args ((= (and @t178 true) @t178))) % 0.45/0.66 (step @p52 :rule eq-refl :args (@t1)) % 0.45/0.66 (step @p53 :rule refl :args (@t178)) % 0.45/0.66 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t191)) % 0.45/0.66 (step @p55 :rule trans :premises (@p54 @p51)) % 0.45/0.66 (step @p56 :rule cong :premises (@p52) :args (@t192)) % 0.45/0.66 (step @p57 :rule trans :premises (@p56 @p17)) % 0.45/0.66 (step @p58 :rule nary_cong :premises (@p57 @p55) :args (@t193)) % 0.45/0.66 (step @p59 :rule trans :premises (@p58 @p50)) % 0.45/0.66 (step @p60 :rule quant-var-elim-eq :args ((= (forall @t198 (or (not (= @t194 @t1)) @t197 @t196)) @t193))) % 0.45/0.66 (step @p61 :rule refl :args (@t196)) % 0.45/0.66 (step @p62 :rule refl :args (@t197)) % 0.45/0.66 (step @p63 :rule eq-symm :args (@t1 @t194)) % 0.45/0.66 (step @p64 :rule cong :premises (@p63) :args (@t197)) % 0.45/0.66 (step @p65 :rule nary_cong :premises (@p64 @p62 @p61) :args (@t199)) % 0.45/0.66 (step @p66 :rule aci_norm :args ((= @t200 @t199))) % 0.45/0.66 (step @p67 :rule trans :premises (@p66 @p65)) % 0.45/0.66 (step @p68 :rule cong :premises (@p67) :args (@t201)) % 0.45/0.66 (step @p69 :rule trans :premises (@p68 @p60)) % 0.45/0.66 (step @p70 :rule trans :premises (@p69 @p59)) % 0.45/0.66 (step @p71 :rule refl :args (@t183)) % 0.45/0.66 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((and @t183 @t201))) % 0.45/0.66 (step @p73 :rule alpha_equiv :args (@t206 @t207 (@list @t194))) % 0.45/0.66 (step @p74 :rule alpha_equiv :args (@t209 @t207 (@list @t179))) % 0.45/0.66 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t210)) % 0.45/0.66 (step @p76 :rule quant-miniscope-and :args ((= (forall @t10 (and @t208 @t205)) @t210))) % 0.45/0.66 (step @p77 :rule trans :premises (@p76 @p75)) % 0.45/0.66 (step @p78 :rule trans :premises (@p77 @p72)) % 0.45/0.66 (step @p79 :rule bool-or-and-distrib :args (@t7 @t204 true @t203 false)) % 0.45/0.66 (step @p80 :rule cong :premises (@p79) :args ((forall @t10 (or (and @t7 @t204) @t203)))) % 0.45/0.66 (step @p81 :rule trans :premises (@p80 @p78)) % 0.45/0.66 (step @p82 :rule eq-symm :args (@t2 @t1)) % 0.45/0.66 (step @p83 :rule refl :args (@t4)) % 0.45/0.66 (step @p84 :rule nary_cong :premises 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