%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN056+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 : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:42:51 AM UTC 2026 % Result : Theorem 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 : NUN056+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 : n005.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 12:38:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----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" $$unsorted)) % 0.53/0.74 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.53/0.74 (define @t51 () (@var "Y7" $$unsorted)) % 0.53/0.74 (define @t52 () (@var "X8" $$unsorted)) % 0.53/0.74 (define @t53 () (@var "X1" $$unsorted)) % 0.53/0.74 (define @t54 () (tptp.r3 @t53 @t52 @t51)) % 0.53/0.74 (define @t55 () (@var "Y4" $$unsorted)) % 0.53/0.74 (define @t56 () (tptp.r2 @t51 @t55)) % 0.53/0.74 (define @t57 () (and @t56 @t54)) % 0.53/0.74 (define @t58 () (@list @t51)) % 0.53/0.74 (define @t59 () (exists @t58 @t57)) % 0.53/0.74 (define @t60 () (@var "Y5" $$unsorted)) % 0.53/0.74 (define @t61 () (= @t60 @t55)) % 0.53/0.74 (define @t62 () (@var "Y15" $$unsorted)) % 0.53/0.74 (define @t63 () (tptp.r3 @t53 @t62 @t60)) % 0.53/0.74 (define @t64 () (tptp.r2 @t52 @t62)) % 0.53/0.74 (define @t65 () (and @t64 @t63)) % 0.53/0.74 (define @t66 () (@list @t62)) % 0.53/0.74 (define @t67 () (exists @t66 @t65)) % 0.53/0.74 (define @t68 () (and @t67 @t61)) % 0.53/0.74 (define @t69 () (@list @t60)) % 0.53/0.74 (define @t70 () (exists @t69 @t68)) % 0.53/0.74 (define @t71 () (and @t70 @t59)) % 0.53/0.74 (define @t72 () (@list @t55)) % 0.53/0.74 (define @t73 () (exists @t72 @t71)) % 0.53/0.74 (define @t74 () (forall (@list @t53 @t52) @t73)) % 0.53/0.74 (define @t75 () (@var "Y6" $$unsorted)) % 0.53/0.74 (define @t76 () (@var "X9" $$unsorted)) % 0.53/0.74 (define @t77 () (@var "X2" $$unsorted)) % 0.53/0.74 (define @t78 () (@var "Y2" $$unsorted)) % 0.53/0.74 (define @t79 () (@list @t75)) % 0.53/0.74 (define @t80 () (@var "Y3" $$unsorted)) % 0.53/0.74 (define @t81 () (@var "Y14" $$unsorted)) % 0.53/0.74 (define @t82 () (@list @t80)) % 0.53/0.74 (define @t83 () (@list @t78)) % 0.53/0.74 (define @t84 () (@var "X10" $$unsorted)) % 0.53/0.74 (define @t85 () (@var "X3" $$unsorted)) % 0.53/0.74 (define @t86 () (@var "Y12" $$unsorted)) % 0.53/0.74 (define @t87 () (@var "Y13" $$unsorted)) % 0.53/0.74 (define @t88 () (@var "X4" $$unsorted)) % 0.53/0.74 (define @t89 () (@var "Y9" $$unsorted)) % 0.53/0.74 (define @t90 () (= @t89 @t88)) % 0.53/0.74 (define @t91 () (@var "Y16" $$unsorted)) % 0.53/0.74 (define @t92 () (tptp.r3 @t88 @t91 @t89)) % 0.53/0.74 (define @t93 () (tptp.r1 @t91)) % 0.53/0.74 (define @t94 () (and @t93 @t92)) % 0.53/0.74 (define @t95 () (@list @t91)) % 0.53/0.74 (define @t96 () (exists @t95 @t94)) % 0.53/0.74 (define @t97 () (and @t96 @t90)) % 0.53/0.74 (define @t98 () (@list @t89)) % 0.53/0.74 (define @t99 () (exists @t98 @t97)) % 0.53/0.74 (define @t100 () (forall (@list @t88) @t99)) % 0.53/0.74 (define @t101 () (@var "Y18" $$unsorted)) % 0.53/0.74 (define @t102 () (@var "Y8" $$unsorted)) % 0.53/0.74 (define @t103 () (@var "Y17" $$unsorted)) % 0.53/0.74 (define @t104 () (@var "X5" $$unsorted)) % 0.53/0.74 (define @t105 () (@list @t102)) % 0.53/0.74 (define @t106 () (@var "Y11" $$unsorted)) % 0.53/0.74 (define @t107 () (@var "X6" $$unsorted)) % 0.53/0.74 (define @t108 () (@var "Y1" $$unsorted)) % 0.53/0.74 (define @t109 () (@var "Y19" $$unsorted)) % 0.53/0.74 (define @t110 () (@var "Y10" $$unsorted)) % 0.53/0.74 (define @t111 () (@var "X7" $$unsorted)) % 0.53/0.74 (define @t112 () (@var "Y20" $$unsorted)) % 0.53/0.74 (define @t113 () (tptp.r2 @t110 @t51)) % 0.53/0.74 (define @t114 () (tptp.r1 @t110)) % 0.53/0.74 (define @t115 () (and @t114 @t113)) % 0.53/0.74 (define @t116 () (@list @t110)) % 0.53/0.74 (define @t117 () (exists @t116 @t115)) % 0.53/0.74 (define @t118 () (and @t56 @t117)) % 0.53/0.74 (define @t119 () (exists @t58 @t118)) % 0.53/0.74 (define @t120 () (tptp.r2 @t89 @t75)) % 0.53/0.74 (define @t121 () (tptp.r1 @t89)) % 0.53/0.74 (define @t122 () (and @t121 @t120)) % 0.53/0.74 (define @t123 () (exists @t98 @t122)) % 0.53/0.74 (define @t124 () (tptp.r3 @t75 @t55 @t108)) % 0.53/0.74 (define @t125 () (and @t124 @t123)) % 0.53/0.74 (define @t126 () (exists @t79 @t125)) % 0.53/0.74 (define @t127 () (and @t126 @t119)) % 0.53/0.74 (define @t128 () (exists @t72 @t127)) % 0.53/0.74 (define @t129 () (tptp.r2 @t102 @t60)) % 0.53/0.74 (define @t130 () (tptp.r1 @t102)) % 0.53/0.74 (define @t131 () (and @t130 @t129)) % 0.53/0.74 (define @t132 () (exists @t105 @t131)) % 0.53/0.74 (define @t133 () (tptp.r2 @t60 @t80)) % 0.53/0.74 (define @t134 () (and @t133 @t132)) % 0.53/0.74 (define @t135 () (exists @t69 @t134)) % 0.53/0.74 (define @t136 () (tptp.r2 @t80 @t78)) % 0.53/0.74 (define @t137 () (and @t136 @t135)) % 0.53/0.74 (define @t138 () (exists @t82 @t137)) % 0.53/0.74 (define @t139 () (and (= @t108 @t78) @t138)) % 0.53/0.74 (define @t140 () (exists @t83 @t139)) % 0.53/0.74 (define @t141 () (and @t140 @t128)) % 0.53/0.74 (define @t142 () (@list @t108)) % 0.53/0.74 (define @t143 () (exists @t142 @t141)) % 0.53/0.74 (define @t144 () (not @t143)) % 0.53/0.74 (define @t145 () (@var "BOUND_VARIABLE_8357" $$unsorted)) % 0.53/0.74 (define @t146 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 0.53/0.74 (define @t147 () (not (tptp.r2 @t146 @t145))) % 0.53/0.74 (define @t148 () (not (tptp.r1 @t146))) % 0.53/0.74 (define @t149 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.53/0.74 (define @t150 () (not (tptp.r2 @t145 @t149))) % 0.53/0.74 (define @t151 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 0.53/0.74 (define @t152 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 0.53/0.74 (define @t153 () (not (tptp.r2 @t152 @t151))) % 0.53/0.74 (define @t154 () (not (tptp.r1 @t152))) % 0.53/0.74 (define @t155 () (not (tptp.r3 @t151 @t149 @t108))) % 0.53/0.74 (define @t156 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 0.53/0.74 (define @t157 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 0.53/0.74 (define @t158 () (not (tptp.r2 @t157 @t156))) % 0.53/0.74 (define @t159 () (not (tptp.r1 @t157))) % 0.53/0.74 (define @t160 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 0.53/0.74 (define @t161 () (not (tptp.r2 @t156 @t160))) % 0.53/0.74 (define @t162 () (not (tptp.r2 @t160 @t108))) % 0.53/0.74 (define @t163 () (or @t162 @t161 @t159 @t158 @t155 @t154 @t153 @t150 @t148 @t147)) % 0.53/0.74 (define @t164 () (@list @t108 @t160 @t156 @t157 @t149 @t151 @t152 @t145 @t146)) % 0.53/0.74 (define @t165 () (or @t155 @t154 @t153 @t150 @t148 @t147)) % 0.53/0.74 (define @t166 () (or @t162 @t161 @t159 @t158)) % 0.53/0.74 (define @t167 () (or @t166 @t165)) % 0.53/0.74 (define @t168 () (forall @t164 @t167)) % 0.53/0.74 (define @t169 () (forall (@list @t160 @t156 @t157 @t149 @t151 @t152 @t145 @t146) @t167)) % 0.53/0.74 (define @t170 () (forall (@list @t149 @t151 @t152 @t145 @t146) @t165)) % 0.53/0.74 (define @t171 () (@var "BOUND_VARIABLE_8314" $$unsorted)) % 0.53/0.74 (define @t172 () (@var "BOUND_VARIABLE_8312" $$unsorted)) % 0.53/0.74 (define @t173 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.53/0.74 (define @t174 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.53/0.74 (define @t175 () (forall (@list @t160 @t156 @t157) @t166)) % 0.53/0.74 (define @t176 () (@var "BOUND_VARIABLE_8211" $$unsorted)) % 0.53/0.74 (define @t177 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 0.53/0.74 (define @t178 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 0.53/0.74 (define @t179 () (@list @t178 @t177 @t176)) % 0.53/0.74 (define @t180 () (or @t175 @t170)) % 0.53/0.74 (define @t181 () (not (tptp.r2 @t171 @t172))) % 0.53/0.74 (define @t182 () (not (tptp.r1 @t171))) % 0.53/0.74 (define @t183 () (not (tptp.r2 @t172 @t55))) % 0.53/0.74 (define @t184 () (not (tptp.r2 @t173 @t174))) % 0.53/0.74 (define @t185 () (not (tptp.r1 @t173))) % 0.53/0.74 (define @t186 () (not (tptp.r3 @t174 @t55 @t108))) % 0.53/0.74 (define @t187 () (or @t186 @t185 @t184 @t183 @t182 @t181)) % 0.53/0.74 (define @t188 () (@list @t55 @t174 @t173 @t172 @t171)) % 0.53/0.74 (define @t189 () (forall @t188 @t187)) % 0.53/0.74 (define @t190 () (not (tptp.r2 @t176 @t177))) % 0.53/0.74 (define @t191 () (not (tptp.r1 @t176))) % 0.53/0.74 (define @t192 () (not (tptp.r2 @t177 @t178))) % 0.53/0.74 (define @t193 () (not (tptp.r2 @t178 @t108))) % 0.53/0.74 (define @t194 () (or @t193 @t192 @t191 @t190)) % 0.53/0.74 (define @t195 () (@list @t178 @t177 @t176)) % 0.53/0.74 (define @t196 () (forall @t195 @t194)) % 0.53/0.74 (define @t197 () (not @t189)) % 0.53/0.74 (define @t198 () (not @t196)) % 0.53/0.74 (define @t199 () (and @t198 @t197)) % 0.53/0.74 (define @t200 () (forall @t142 (not @t199))) % 0.53/0.74 (define @t201 () (not @t200)) % 0.53/0.74 (define @t202 () (or @t183 @t182 @t181)) % 0.53/0.74 (define @t203 () (or @t186 @t185 @t184)) % 0.53/0.74 (define @t204 () (or @t203 @t202)) % 0.53/0.74 (define @t205 () (forall @t188 @t204)) % 0.53/0.74 (define @t206 () (forall (@list @t174 @t173 @t172 @t171) @t204)) % 0.53/0.74 (define @t207 () (forall (@list @t172 @t171) @t202)) % 0.53/0.74 (define @t208 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.53/0.74 (define @t209 () (forall (@list @t174 @t173) @t203)) % 0.53/0.74 (define @t210 () (@var "BOUND_VARIABLE_8254" $$unsorted)) % 0.53/0.74 (define @t211 () (or @t209 @t207)) % 0.53/0.74 (define @t212 () (not (tptp.r2 @t208 @t51))) % 0.53/0.74 (define @t213 () (not (tptp.r1 @t208))) % 0.53/0.74 (define @t214 () (not @t56)) % 0.53/0.74 (define @t215 () (or @t214 @t213 @t212)) % 0.53/0.74 (define @t216 () (@list @t51 @t208)) % 0.53/0.74 (define @t217 () (forall @t216 @t215)) % 0.53/0.74 (define @t218 () (not (tptp.r2 @t210 @t75))) % 0.53/0.74 (define @t219 () (not (tptp.r1 @t210))) % 0.53/0.74 (define @t220 () (not @t124)) % 0.53/0.74 (define @t221 () (or @t220 @t219 @t218)) % 0.53/0.74 (define @t222 () (@list @t75 @t210)) % 0.53/0.74 (define @t223 () (forall @t222 @t221)) % 0.53/0.74 (define @t224 () (not @t217)) % 0.53/0.74 (define @t225 () (not @t223)) % 0.53/0.74 (define @t226 () (and @t225 @t224)) % 0.53/0.74 (define @t227 () (forall @t72 (not @t226))) % 0.53/0.74 (define @t228 () (not @t227)) % 0.53/0.74 (define @t229 () (or @t213 @t212)) % 0.53/0.74 (define @t230 () (or @t214 @t229)) % 0.53/0.74 (define @t231 () (forall @t216 @t230)) % 0.53/0.74 (define @t232 () (@list @t208)) % 0.53/0.74 (define @t233 () (forall @t232 @t230)) % 0.53/0.74 (define @t234 () (forall @t232 @t229)) % 0.53/0.74 (define @t235 () (or @t214 @t234)) % 0.53/0.74 (define @t236 () (forall @t116 (or (not @t114) (not @t113)))) % 0.53/0.74 (define @t237 () (not @t236)) % 0.53/0.74 (define @t238 () (and @t56 @t237)) % 0.53/0.74 (define @t239 () (forall @t58 (not @t238))) % 0.53/0.74 (define @t240 () (not @t239)) % 0.53/0.74 (define @t241 () (forall @t116 (not @t115))) % 0.53/0.74 (define @t242 () (not @t241)) % 0.53/0.74 (define @t243 () (or @t219 @t218)) % 0.53/0.74 (define @t244 () (or @t220 @t243)) % 0.53/0.74 (define @t245 () (forall @t222 @t244)) % 0.53/0.74 (define @t246 () (@list @t210)) % 0.53/0.74 (define @t247 () (forall @t246 @t244)) % 0.53/0.74 (define @t248 () (forall @t246 @t243)) % 0.53/0.74 (define @t249 () (or @t220 @t248)) % 0.53/0.74 (define @t250 () (forall @t98 (or (not @t121) (not @t120)))) % 0.53/0.74 (define @t251 () (not @t250)) % 0.53/0.74 (define @t252 () (and @t124 @t251)) % 0.53/0.74 (define @t253 () (forall @t79 (not @t252))) % 0.53/0.74 (define @t254 () (not @t253)) % 0.53/0.74 (define @t255 () (forall @t98 (not @t122))) % 0.53/0.74 (define @t256 () (not @t255)) % 0.53/0.74 (define @t257 () (not (= @t108 @t108))) % 0.53/0.74 (define @t258 () (or @t257 @t193 @t192 @t191 @t190)) % 0.53/0.74 (define @t259 () (not (tptp.r2 @t178 @t78))) % 0.53/0.74 (define @t260 () (= @t78 @t108)) % 0.53/0.74 (define @t261 () (not @t260)) % 0.53/0.74 (define @t262 () (or @t261 @t261 @t259 @t192 @t191 @t190)) % 0.53/0.74 (define @t263 () (or @t261 @t259 @t192 @t191 @t190)) % 0.53/0.74 (define @t264 () (forall @t83 @t263)) % 0.53/0.74 (define @t265 () (forall @t195 @t264)) % 0.53/0.74 (define @t266 () (forall (@list @t178 @t177 @t176 @t78) @t263)) % 0.53/0.74 (define @t267 () (@list @t78 @t178 @t177 @t176)) % 0.53/0.74 (define @t268 () (or @t259 @t192 @t191 @t190)) % 0.53/0.74 (define @t269 () (or @t261 @t268)) % 0.53/0.74 (define @t270 () (forall @t267 @t269)) % 0.53/0.74 (define @t271 () (forall @t195 @t269)) % 0.53/0.74 (define @t272 () (forall @t195 @t268)) % 0.53/0.74 (define @t273 () (@var "BOUND_VARIABLE_8184" $$unsorted)) % 0.53/0.74 (define @t274 () (@var "BOUND_VARIABLE_8182" $$unsorted)) % 0.53/0.74 (define @t275 () (or @t261 @t272)) % 0.53/0.74 (define @t276 () (not (tptp.r2 @t273 @t274))) % 0.53/0.74 (define @t277 () (not (tptp.r1 @t273))) % 0.53/0.74 (define @t278 () (not (tptp.r2 @t274 @t80))) % 0.53/0.74 (define @t279 () (not @t136)) % 0.53/0.74 (define @t280 () (or @t279 @t278 @t277 @t276)) % 0.53/0.74 (define @t281 () (@list @t80 @t274 @t273)) % 0.53/0.74 (define @t282 () (forall @t281 @t280)) % 0.53/0.74 (define @t283 () (not @t282)) % 0.53/0.74 (define @t284 () (and @t260 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(tptp.r2 @t333 @t336)) @t337 @t335 (not (tptp.r3 @t333 @t333 @t334))))) % 0.53/0.74 (define @t340 () (@quantifiers_skolemize @t339 1)) % 0.53/0.74 (define @t341 () (@quantifiers_skolemize @t339 2)) % 0.53/0.74 (define @t342 () (@quantifiers_skolemize @t339 0)) % 0.53/0.74 (define @t343 () (not (tptp.r3 @t53 @t52 @t334))) % 0.53/0.74 (define @t344 () (not (tptp.r3 @t53 @t336 @t55))) % 0.53/0.74 (define @t345 () (not (tptp.r2 @t52 @t336))) % 0.53/0.74 (define @t346 () (or @t335 @t343)) % 0.53/0.74 (define @t347 () (or @t345 @t344)) % 0.53/0.74 (define @t348 () (or @t347 @t346)) % 0.53/0.74 (define @t349 () (forall @t338 @t348)) % 0.53/0.74 (define @t350 () (forall (@list @t336 @t334) @t348)) % 0.53/0.74 (define @t351 () (forall (@list @t334) @t346)) % 0.53/0.74 (define @t352 () (forall (@list @t336) @t347)) % 0.53/0.74 (define @t353 () (@var "BOUND_VARIABLE_7853" $$unsorted)) % 0.53/0.74 (define @t354 () (@list @t353)) % 0.53/0.74 (define @t355 () (or @t352 @t351)) % 0.53/0.74 (define @t356 () (forall @t58 (or @t214 (not @t54)))) % 0.53/0.74 (define @t357 () (not (tptp.r3 @t53 @t353 @t55))) % 0.53/0.74 (define @t358 () (not (tptp.r2 @t52 @t353))) % 0.53/0.74 (define @t359 () (or @t358 @t357)) % 0.53/0.74 (define @t360 () (@list @t353)) % 0.53/0.74 (define @t361 () (forall @t360 @t359)) % 0.53/0.74 (define @t362 () (not @t356)) % 0.53/0.74 (define @t363 () (not @t361)) % 0.53/0.74 (define @t364 () (and @t363 @t362)) % 0.53/0.74 (define @t365 () (forall @t72 (not @t364))) % 0.53/0.74 (define @t366 () (not @t365)) % 0.53/0.74 (define @t367 () (forall @t58 (not @t57))) % 0.53/0.74 (define @t368 () (not @t367)) % 0.53/0.74 (define @t369 () (not (= @t55 @t55))) % 0.53/0.74 (define @t370 () (or @t369 @t358 @t357)) % 0.53/0.74 (define @t371 () (not (tptp.r3 @t53 @t353 @t60))) % 0.53/0.74 (define @t372 () (= @t55 @t60)) % 0.53/0.74 (define @t373 () (not @t372)) % 0.53/0.74 (define @t374 () (or @t373 @t373 @t358 @t371)) % 0.53/0.74 (define @t375 () (or @t373 @t358 @t371)) % 0.53/0.74 (define @t376 () (forall @t69 @t375)) % 0.53/0.74 (define @t377 () (forall @t360 @t376)) % 0.53/0.74 (define @t378 () (forall (@list @t353 @t60) @t375)) % 0.53/0.74 (define @t379 () (@list @t60 @t353)) % 0.53/0.74 (define @t380 () (or @t358 @t371)) % 0.53/0.74 (define @t381 () (or @t380 @t373)) % 0.53/0.74 (define @t382 () (forall @t379 @t381)) % 0.53/0.74 (define @t383 () (forall @t360 @t381)) % 0.53/0.74 (define @t384 () (forall @t360 @t380)) % 0.53/0.74 (define @t385 () (or @t384 @t373)) % 0.53/0.74 (define @t386 () (forall @t66 (or (not @t64) (not @t63)))) % 0.53/0.74 (define @t387 () (not @t386)) % 0.53/0.74 (define @t388 () (and @t387 @t372)) % 0.53/0.74 (define @t389 () (forall @t69 (not @t388))) % 0.53/0.74 (define @t390 () (not @t389)) % 0.53/0.74 (define @t391 () (forall @t66 (not @t65))) % 0.53/0.74 (define @t392 () (not @t391)) % 0.53/0.74 (define @t393 () (@list @t333 @t333)) % 0.53/0.74 (define @t394 () (tptp.r2 @t341 @t342)) % 0.53/0.74 (define @t395 () (tptp.r3 @t333 @t333 @t341)) % 0.53/0.74 (define @t396 () (not @t395)) % 0.53/0.74 (define @t397 () (not @t394)) % 0.53/0.74 (define @t398 () (tptp.r3 @t333 @t340 @t342)) % 0.53/0.74 (define @t399 () (not @t398)) % 0.53/0.74 (define @t400 () (tptp.r2 @t333 @t340)) % 0.53/0.74 (define @t401 () (not @t400)) % 0.53/0.74 (define @t402 () (or @t401 @t399 @t397 @t396)) % 0.53/0.74 (define @t403 () (@list true)) % 0.53/0.74 (define @t404 () (@list @t402)) % 0.53/0.74 (define @t405 () (tptp.r2 @t17 @t327)) % 0.53/0.74 (define @t406 () (forall @t331 (or (not @t405) (and @t405 @t328)))) % 0.53/0.74 (define @t407 () (tptp.r2 @t17 @t14)) % 0.53/0.74 (define @t408 () (and @t406 @t407)) % 0.53/0.74 (define @t409 () (forall @t26 (not @t408))) % 0.53/0.74 (define @t410 () (not @t409)) % 0.53/0.74 (define @t411 () (= @t14 @t14)) % 0.53/0.74 (define @t412 () (and @t407 @t411)) % 0.53/0.74 (define @t413 () (not @t411)) % 0.53/0.74 (define @t414 () (or @t413 @t412)) % 0.53/0.74 (define @t415 () (@var "BOUND_VARIABLE_7711" $$unsorted)) % 0.53/0.74 (define @t416 () (= @t14 @t415)) % 0.53/0.74 (define @t417 () (and (tptp.r2 @t17 @t415) @t416)) % 0.53/0.74 (define @t418 () (not @t416)) % 0.53/0.74 (define @t419 () (@list @t415)) % 0.53/0.74 (define @t420 () (or @t418 @t418 @t417)) % 0.53/0.74 (define @t421 () (or @t418 @t417)) % 0.53/0.74 (define @t422 () (forall @t419 @t421)) % 0.53/0.74 (define @t423 () (= @t14 @t15)) % 0.53/0.74 (define @t424 () (and @t18 @t423)) % 0.53/0.74 (define @t425 () (not @t423)) % 0.53/0.74 (define @t426 () (or @t425 @t424)) % 0.53/0.74 (define @t427 () (forall @t24 @t426)) % 0.53/0.74 (define @t428 () (@list @t15)) % 0.53/0.74 (define @t429 () (or @t21 @t424)) % 0.53/0.74 (define @t430 () (forall @t24 @t429)) % 0.53/0.74 (define @t431 () (and @t430 @t427)) % 0.53/0.74 (define @t432 () (tptp.r2 @t326 @t333)) % 0.53/0.74 (define @t433 () (not @t432)) % 0.53/0.74 (define @t434 () (forall @t331 (or @t330 (and @t329 (= @t327 @t333))))) % 0.53/0.74 (define @t435 () (not @t434)) % 0.53/0.74 (define @t436 () (or @t435 @t433)) % 0.53/0.74 (define @t437 () (not @t436)) % 0.53/0.74 (define @t438 () (not @t332)) % 0.53/0.74 (define @t439 () (and @t329 (= @t333 @t327))) % 0.53/0.74 (define @t440 () (or @t330 @t439)) % 0.53/0.74 (define @t441 () (forall @t331 @t440)) % 0.53/0.74 (define @t442 () (not @t441)) % 0.53/0.74 (define @t443 () (or @t442 @t433)) % 0.53/0.74 (define @t444 () (not @t443)) % 0.53/0.74 (define @t445 () (@list @t436)) % 0.53/0.74 (define @t446 () (and @t324 @t319)) % 0.53/0.74 (define @t447 () (forall @t12 (not @t446))) % 0.53/0.74 (define @t448 () (not @t447)) % 0.53/0.74 (define @t449 () (= @t1 @t1)) % 0.53/0.74 (define @t450 () (and @t319 @t449)) % 0.53/0.74 (define @t451 () (not @t449)) % 0.53/0.74 (define @t452 () (or @t451 @t450)) % 0.53/0.74 (define @t453 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 0.53/0.74 (define @t454 () (= @t1 @t453)) % 0.53/0.74 (define @t455 () (and (tptp.r1 @t453) @t454)) % 0.53/0.74 (define @t456 () (not @t454)) % 0.53/0.74 (define @t457 () (@list @t453)) % 0.53/0.74 (define @t458 () (or @t456 @t456 @t455)) % 0.53/0.74 (define @t459 () (or @t456 @t455)) % 0.53/0.74 (define @t460 () (forall @t457 @t459)) % 0.53/0.74 (define @t461 () (= @t1 @t2)) % 0.53/0.74 (define @t462 () (and @t4 @t461)) % 0.53/0.74 (define @t463 () (not @t461)) % 0.53/0.74 (define @t464 () (or @t463 @t462)) % 0.53/0.74 (define @t465 () (forall @t10 @t464)) % 0.53/0.74 (define @t466 () (@list @t2)) % 0.53/0.74 (define @t467 () (or @t7 @t462)) % 0.53/0.74 (define @t468 () (forall @t10 @t467)) % 0.53/0.74 (define @t469 () (and @t468 @t465)) % 0.53/0.74 (define @t470 () (tptp.r1 @t326)) % 0.53/0.74 (define @t471 () (not @t470)) % 0.53/0.74 (define @t472 () (forall @t323 (or @t322 (and @t321 (= @t320 @t326))))) % 0.53/0.74 (define @t473 () (not @t472)) % 0.53/0.74 (define @t474 () (or @t473 @t471)) % 0.53/0.74 (define @t475 () (not @t474)) % 0.53/0.74 (define @t476 () (not @t325)) % 0.53/0.74 (define @t477 () (and @t321 (= @t326 @t320))) % 0.53/0.74 (define @t478 () (or @t322 @t477)) % 0.53/0.74 (define @t479 () (forall @t323 @t478)) % 0.53/0.74 (define @t480 () (not @t479)) % 0.53/0.74 (define @t481 () (or @t480 @t471)) % 0.53/0.74 (define @t482 () (not @t481)) % 0.53/0.74 (define @t483 () (@list @t474)) % 0.53/0.74 (define @t484 () (not (tptp.r2 @t333 @t341))) % 0.53/0.74 (define @t485 () (or @t397 @t484 @t471 @t433 @t399 @t471 @t433 @t401 @t471 @t433)) % 0.53/0.74 (define @t486 () (@var "BOUND_VARIABLE_7750" $$unsorted)) % 0.53/0.74 (define @t487 () (= @t29 @t486)) % 0.53/0.74 (define @t488 () (tptp.r3 @t33 @t32 @t486)) % 0.53/0.74 (define @t489 () (@list @t486)) % 0.53/0.74 (define @t490 () (forall @t489 (or (not @t488) (and @t488 @t487)))) % 0.53/0.74 (define @t491 () (tptp.r3 @t33 @t32 @t29)) % 0.53/0.74 (define @t492 () (and @t490 @t491)) % 0.53/0.74 (define @t493 () (forall @t42 (not @t492))) % 0.53/0.74 (define @t494 () (not @t493)) % 0.53/0.74 (define @t495 () (= @t29 @t29)) % 0.53/0.74 (define @t496 () (and @t491 @t495)) % 0.53/0.74 (define @t497 () (not @t495)) % 0.53/0.74 (define @t498 () (or @t497 @t496)) % 0.53/0.74 (define @t499 () (@var "BOUND_VARIABLE_7759" $$unsorted)) % 0.53/0.74 (define @t500 () (= @t29 @t499)) % 0.53/0.74 (define @t501 () (and (tptp.r3 @t33 @t32 @t499) @t500)) % 0.53/0.74 (define @t502 () (not @t500)) % 0.53/0.74 (define @t503 () (@list @t499)) % 0.53/0.74 (define @t504 () (or @t502 @t502 @t501)) % 0.53/0.74 (define @t505 () (or @t502 @t501)) % 0.53/0.74 (define @t506 () (forall @t503 @t505)) % 0.53/0.74 (define @t507 () (= @t29 @t30)) % 0.53/0.74 (define @t508 () (and @t34 @t507)) % 0.53/0.74 (define @t509 () (not @t507)) % 0.53/0.74 (define @t510 () (or @t509 @t508)) % 0.53/0.74 (define @t511 () (forall @t40 @t510)) % 0.53/0.74 (define @t512 () (@list @t30)) % 0.53/0.74 (define @t513 () (or @t37 @t508)) % 0.53/0.74 (define @t514 () (forall @t40 @t513)) % 0.53/0.74 (define @t515 () (and @t514 @t511)) % 0.53/0.74 (define @t516 () (tptp.r3 @t333 @t333 @t486)) % 0.53/0.74 (define @t517 () (not @t516)) % 0.53/0.74 (define @t518 () (forall @t42 (or (not (forall @t489 (or @t517 (and @t516 @t487)))) (not (tptp.r3 @t333 @t333 @t29))))) % 0.53/0.74 (define @t519 () (@quantifiers_skolemize @t518 0)) % 0.53/0.74 (define @t520 () (not (tptp.r3 @t333 @t333 @t519))) % 0.53/0.74 (define @t521 () (forall @t489 (or @t517 (and @t516 (= @t486 @t519))))) % 0.53/0.74 (define @t522 () (not @t521)) % 0.53/0.74 (define @t523 () (or @t522 @t520)) % 0.53/0.74 (define @t524 () (not @t523)) % 0.53/0.74 (define @t525 () (not @t518)) % 0.53/0.74 (define @t526 () (and @t516 (= @t519 @t486))) % 0.53/0.74 (define @t527 () (or @t517 @t526)) % 0.53/0.74 (define @t528 () (forall @t489 @t527)) % 0.53/0.74 (define @t529 () (not @t528)) % 0.53/0.74 (define @t530 () (or @t529 @t520)) % 0.53/0.74 (define @t531 () (not @t530)) % 0.53/0.74 (define @t532 () (and @t395 (= @t341 @t519))) % 0.53/0.74 (define @t533 () (or @t396 @t532)) % 0.53/0.74 (define @t534 () (= @t519 @t341)) % 0.53/0.74 (define @t535 () (and @t395 @t534)) % 0.53/0.74 (define @t536 () (or @t396 @t535)) % 0.53/0.74 (define @t537 () (@list false)) % 0.53/0.74 (define @t538 () (@list false false)) % 0.53/0.74 (define @t539 () (forall @t338 (or (not (tptp.r2 @t326 @t336)) @t337 @t335 (not (tptp.r3 @t333 @t326 @t334))))) % 0.53/0.74 (define @t540 () (@quantifiers_skolemize @t539 0)) % 0.53/0.74 (define @t541 () (@list @t540)) % 0.53/0.74 (define @t542 () (@list @t333 @t326)) % 0.53/0.74 (define @t543 () (@quantifiers_skolemize @t539 1)) % 0.53/0.74 (define @t544 () (tptp.r3 @t333 @t543 @t540)) % 0.53/0.74 (define @t545 () (@quantifiers_skolemize @t539 2)) % 0.53/0.74 (define @t546 () (tptp.r3 @t333 @t326 @t545)) % 0.53/0.74 (define @t547 () (not @t546)) % 0.53/0.74 (define @t548 () (tptp.r2 @t545 @t540)) % 0.53/0.74 (define @t549 () (not @t548)) % 0.53/0.74 (define @t550 () (not @t544)) % 0.53/0.74 (define @t551 () (tptp.r2 @t326 @t543)) % 0.53/0.74 (define @t552 () (not @t551)) % 0.53/0.74 (define @t553 () (or @t552 @t550 @t549 @t547)) % 0.53/0.74 (define @t554 () (@list @t553)) % 0.53/0.74 (define @t555 () (and @t551 (= @t543 @t333))) % 0.53/0.74 (define @t556 () (or @t552 @t555)) % 0.53/0.74 (define @t557 () (= @t333 @t543)) % 0.53/0.74 (define @t558 () (and @t551 @t557)) % 0.53/0.74 (define @t559 () (or @t552 @t558)) % 0.53/0.74 (define @t560 () (tptp.r3 @t333 @t333 @t540)) % 0.53/0.74 (define @t561 () (= @t540 @t519)) % 0.53/0.74 (define @t562 () (and @t560 @t561)) % 0.53/0.74 (define @t563 () (not @t560)) % 0.53/0.74 (define @t564 () (or @t563 @t562)) % 0.53/0.74 (define @t565 () (@list @t333)) % 0.53/0.74 (define @t566 () (tptp.r2 @t333 @t327)) % 0.53/0.74 (define @t567 () (not @t566)) % 0.53/0.74 (define @t568 () (forall @t26 (or (not (forall @t331 (or @t567 (and @t566 @t328)))) (not (tptp.r2 @t333 @t14))))) % 0.53/0.74 (define @t569 () (@quantifiers_skolemize @t568 0)) % 0.53/0.74 (define @t570 () (tptp.r2 @t333 @t569)) % 0.53/0.74 (define @t571 () (not @t570)) % 0.53/0.74 (define @t572 () (forall @t331 (or @t567 (and @t566 (= @t327 @t569))))) % 0.53/0.74 (define @t573 () (not @t572)) % 0.53/0.74 (define @t574 () (or @t573 @t571)) % 0.53/0.74 (define @t575 () (not @t574)) % 0.53/0.74 (define @t576 () (not @t568)) % 0.53/0.74 (define @t577 () (and @t566 (= @t569 @t327))) % 0.53/0.74 (define @t578 () (or @t567 @t577)) % 0.53/0.74 (define @t579 () (forall @t331 @t578)) % 0.53/0.74 (define @t580 () (not @t579)) % 0.53/0.74 (define @t581 () (or @t580 @t571)) % 0.53/0.74 (define @t582 () (not @t581)) % 0.53/0.74 (define @t583 () (@list @t574)) % 0.53/0.74 (define @t584 () (tptp.r2 @t333 @t540)) % 0.53/0.74 (define @t585 () (and @t584 (= @t540 @t569))) % 0.53/0.74 (define @t586 () (not @t584)) % 0.53/0.74 (define @t587 () (or @t586 @t585)) % 0.53/0.74 (define @t588 () (= @t569 @t540)) % 0.53/0.74 (define @t589 () (and @t584 @t588)) % 0.53/0.74 (define @t590 () (or @t586 @t589)) % 0.53/0.74 (define @t591 () (tptp.r3 @t333 @t326 @t486)) % 0.53/0.74 (define @t592 () (not @t591)) % 0.53/0.74 (define @t593 () (forall @t42 (or (not (forall @t489 (or @t592 (and @t591 @t487)))) (not (tptp.r3 @t333 @t326 @t29))))) % 0.53/0.74 (define @t594 () (@quantifiers_skolemize @t593 0)) % 0.53/0.74 (define @t595 () (not (tptp.r3 @t333 @t326 @t594))) % 0.53/0.74 (define @t596 () (forall @t489 (or @t592 (and @t591 (= @t486 @t594))))) % 0.53/0.74 (define @t597 () (not @t596)) % 0.53/0.74 (define @t598 () (or @t597 @t595)) % 0.53/0.74 (define @t599 () (not @t598)) % 0.53/0.74 (define @t600 () (not @t593)) % 0.53/0.74 (define @t601 () (and @t591 (= @t594 @t486))) % 0.53/0.74 (define @t602 () (or @t592 @t601)) % 0.53/0.74 (define @t603 () (forall @t489 @t602)) % 0.53/0.74 (define @t604 () (not @t603)) % 0.53/0.74 (define @t605 () (or @t604 @t595)) % 0.53/0.74 (define @t606 () (not @t605)) % 0.53/0.74 (define @t607 () (and @t546 (= @t545 @t594))) % 0.53/0.74 (define @t608 () (or @t547 @t607)) % 0.53/0.74 (define @t609 () (= @t594 @t545)) % 0.53/0.74 (define @t610 () (and @t546 @t609)) % 0.53/0.74 (define @t611 () (or @t547 @t610)) % 0.53/0.74 (define @t612 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 0.53/0.74 (define @t613 () (not (tptp.r3 @t88 @t612 @t88))) % 0.53/0.74 (define @t614 () (not (tptp.r1 @t612))) % 0.53/0.74 (define @t615 () (not (= @t88 @t88))) % 0.53/0.74 (define @t616 () (or @t615 @t614 @t613)) % 0.53/0.74 (define @t617 () (@list @t612)) % 0.53/0.74 (define @t618 () (not (tptp.r3 @t88 @t612 @t89))) % 0.53/0.74 (define @t619 () (= @t88 @t89)) % 0.53/0.74 (define @t620 () (not @t619)) % 0.53/0.74 (define @t621 () (or @t620 @t620 @t614 @t618)) % 0.53/0.74 (define @t622 () (or @t620 @t614 @t618)) % 0.53/0.74 (define @t623 () (forall @t98 @t622)) % 0.53/0.74 (define @t624 () (forall @t617 @t623)) % 0.53/0.74 (define @t625 () (forall (@list @t612 @t89) @t622)) % 0.53/0.74 (define @t626 () (@list @t89 @t612)) % 0.53/0.74 (define @t627 () (or @t614 @t618)) % 0.53/0.74 (define @t628 () (or @t627 @t620)) % 0.53/0.74 (define @t629 () (forall @t626 @t628)) % 0.53/0.74 (define @t630 () (forall @t617 @t628)) % 0.53/0.74 (define @t631 () (forall @t617 @t627)) % 0.53/0.74 (define @t632 () (or @t631 @t620)) % 0.53/0.74 (define @t633 () (forall @t95 (or (not @t93) (not @t92)))) % 0.53/0.74 (define @t634 () (not @t633)) % 0.53/0.74 (define @t635 () (and @t634 @t619)) % 0.53/0.74 (define @t636 () (forall @t98 (not @t635))) % 0.53/0.74 (define @t637 () (not @t636)) % 0.53/0.74 (define @t638 () (forall @t95 (not @t94))) % 0.53/0.74 (define @t639 () (not @t638)) % 0.53/0.74 (define @t640 () (@quantifiers_skolemize (forall @t617 (or @t614 (not (tptp.r3 @t333 @t612 @t333)))) 0)) % 0.53/0.74 (define @t641 () (tptp.r3 @t333 @t640 @t333)) % 0.53/0.74 (define @t642 () (not @t641)) % 0.53/0.74 (define @t643 () (tptp.r1 @t640)) % 0.53/0.74 (define @t644 () (not @t643)) % 0.53/0.74 (define @t645 () (or @t644 @t642)) % 0.53/0.74 (define @t646 () (@list @t645)) % 0.53/0.74 (define @t647 () (and @t643 (= @t640 @t326))) % 0.53/0.74 (define @t648 () (or @t644 @t647)) % 0.53/0.74 (define @t649 () (= @t326 @t640)) % 0.53/0.74 (define @t650 () (and @t643 @t649)) % 0.53/0.74 (define @t651 () (or @t644 @t650)) % 0.53/0.74 (define @t652 () (tptp.r3 @t333 @t326 @t333)) % 0.53/0.74 (define @t653 () (= @t333 @t594)) % 0.53/0.74 (define @t654 () (and @t652 @t653)) % 0.53/0.74 (define @t655 () (not @t652)) % 0.53/0.74 (define @t656 () (or @t655 @t654)) % 0.53/0.74 (assume @p1 @t13) % 0.53/0.74 (assume @p2 @t28) % 0.53/0.74 (assume @p3 @t44) % 0.53/0.74 (assume @p4 (forall (@list @t49 @t48) (exists (@list @t45) (forall (@list @t46) (or (and (not @t50) (not @t47)) (and @t50 @t47)))))) % 0.53/0.74 (assume @p5 @t74) % 0.53/0.74 (assume @p6 (forall (@list @t77 @t76) (exists @t83 (and (exists @t82 (and (exists (@list @t81) (and (tptp.r2 @t76 @t81) (tptp.r4 @t77 @t81 @t80))) (= @t80 @t78))) (exists @t79 (and (tptp.r3 @t75 @t77 @t78) (tptp.r4 @t77 @t76 @t75))))))) % 0.53/0.74 (assume @p7 (forall (@list @t85 @t84) (or (forall (@list @t86) (or (forall (@list @t87) (or (not (tptp.r2 @t85 @t87)) (not (= @t87 @t86)))) (not (tptp.r2 @t84 @t86)))) (= @t85 @t84)))) % 0.53/0.74 (assume @p8 @t100) % 0.53/0.74 (assume @p9 (forall (@list @t104) (exists @t105 (and (exists (@list @t103) (and (tptp.r1 @t103) (tptp.r4 @t104 @t103 @t102))) (exists (@list @t101) (and (tptp.r1 @t101) (= @t102 @t101))))))) % 0.53/0.74 (assume @p10 (forall (@list @t107) (or (exists (@list @t109) (and (tptp.r1 @t109) (= @t107 @t109))) (exists (@list @t108 @t106) (and (tptp.r2 @t108 @t106) (= @t107 @t106)))))) % 0.53/0.74 (assume @p11 (forall (@list @t111 @t110) (or (forall (@list @t112) (or (not (tptp.r1 @t112)) (not (= @t112 @t110)))) (not (tptp.r2 @t111 @t110))))) % 0.53/0.74 (assume @p12 @t144) % 0.53/0.74 (assume @p13 true) % 0.53/0.74 (step @p14 :rule evaluate :args ((= true false))) % 0.53/0.74 (step @p15 :rule bool-double-not-elim :args ((forall @t164 @t163))) % 0.53/0.74 (step @p16 :rule aci_norm :args ((= @t167 @t163))) % 0.53/0.74 (step @p17 :rule cong :premises (@p16) :args (@t168)) % 0.53/0.74 (step @p18 :rule quant-merge-prenex :args ((= (forall @t142 @t169) @t168))) % 0.53/0.74 (step @p19 :rule alpha_equiv :args (@t170 (@list @t149 @t151 @t152 @t145 @t146) (@list @t55 @t174 @t173 @t172 @t171))) % 0.53/0.74 (step @p20 :rule alpha_equiv :args (@t175 (@list @t160 @t156 @t157) @t179)) % 0.53/0.74 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t180)) % 0.53/0.74 (step @p22 :rule quant-miniscope-or :args ((= @t169 @t180))) % 0.53/0.74 (step @p23 :rule trans :premises (@p22 @p21)) % 0.53/0.74 (step @p24 :rule symm :premises (@p23)) % 0.53/0.74 (step @p25 :rule cong :premises (@p24) :args ((forall @t142 (or @t196 @t189)))) % 0.53/0.74 (step @p26 :rule trans :premises (@p25 @p18)) % 0.53/0.74 (step @p27 :rule trans :premises (@p26 @p17)) % 0.53/0.74 (step @p28 :rule bool-double-not-elim :args (@t189)) % 0.53/0.74 (step @p29 :rule bool-double-not-elim :args (@t196)) % 0.53/0.74 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t198) (not @t197)))) % 0.53/0.74 (step @p31 :rule bool-and-de-morgan :args (@t198 @t197 true)) % 0.53/0.74 (step @p32 :rule trans :premises (@p31 @p30)) % 0.53/0.74 (step @p33 :rule cong :premises (@p32) :args (@t200)) % 0.53/0.74 (step @p34 :rule trans :premises (@p33 @p27)) % 0.53/0.74 (step @p35 :rule cong :premises (@p34) :args (@t201)) % 0.53/0.74 (step @p36 :rule exists-elim :args ((= (exists @t142 @t199) @t201))) % 0.53/0.74 (step @p37 :rule trans :premises (@p36 @p35)) % 0.53/0.74 (step @p38 :rule aci_norm :args ((= @t204 @t187))) % 0.53/0.74 (step @p39 :rule cong :premises (@p38) :args (@t205)) % 0.53/0.74 (step @p40 :rule quant-merge-prenex :args ((= (forall @t72 @t206) @t205))) % 0.53/0.74 (step @p41 :rule alpha_equiv :args (@t207 (@list @t172 @t171) (@list @t51 @t208))) % 0.53/0.74 (step @p42 :rule alpha_equiv :args (@t209 (@list @t174 @t173) (@list @t75 @t210))) % 0.53/0.74 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t211)) % 0.53/0.74 (step @p44 :rule quant-miniscope-or :args ((= @t206 @t211))) % 0.53/0.74 (step @p45 :rule trans :premises (@p44 @p43)) % 0.53/0.74 (step @p46 :rule symm :premises (@p45)) % 0.53/0.74 (step @p47 :rule cong :premises (@p46) :args ((forall @t72 (or @t223 @t217)))) % 0.53/0.74 (step @p48 :rule trans :premises (@p47 @p40)) % 0.53/0.74 (step @p49 :rule trans :premises (@p48 @p39)) % 0.53/0.74 (step @p50 :rule bool-double-not-elim :args (@t217)) % 0.53/0.74 (step @p51 :rule bool-double-not-elim :args (@t223)) % 0.53/0.74 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t225) (not @t224)))) % 0.53/0.74 (step @p53 :rule bool-and-de-morgan :args (@t225 @t224 true)) % 0.53/0.74 (step @p54 :rule trans :premises (@p53 @p52)) % 0.53/0.74 (step @p55 :rule cong :premises (@p54) :args (@t227)) % 0.53/0.74 (step @p56 :rule trans :premises (@p55 @p49)) % 0.53/0.74 (step @p57 :rule cong :premises (@p56) :args (@t228)) % 0.53/0.74 (step @p58 :rule exists-elim :args ((= (exists @t72 @t226) @t228))) % 0.53/0.74 (step @p59 :rule trans :premises (@p58 @p57)) % 0.53/0.74 (step @p60 :rule aci_norm :args ((= @t230 @t215))) % 0.53/0.74 (step @p61 :rule cong :premises (@p60) :args (@t231)) % 0.53/0.74 (step @p62 :rule quant-merge-prenex :args ((= (forall @t58 @t233) @t231))) % 0.53/0.74 (step @p63 :rule alpha_equiv :args (@t234 (@list @t208) (@list @t110))) % 0.53/0.74 (step @p64 :rule refl :args (@t214)) % 0.53/0.74 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t235)) % 0.53/0.74 (step @p66 :rule quant-miniscope-or :args ((= @t233 @t235))) % 0.53/0.74 (step @p67 :rule trans :premises (@p66 @p65)) % 0.53/0.74 (step @p68 :rule symm :premises (@p67)) % 0.53/0.74 (step @p69 :rule cong :premises (@p68) :args ((forall @t58 (or @t214 @t236)))) % 0.53/0.74 (step @p70 :rule trans :premises (@p69 @p62)) % 0.53/0.74 (step @p71 :rule trans :premises (@p70 @p61)) % 0.53/0.74 (step @p72 :rule bool-double-not-elim :args (@t236)) % 0.53/0.74 (step @p73 :rule nary_cong :premises (@p64 @p72) :args ((or @t214 (not @t237)))) % 0.53/0.74 (step @p74 :rule bool-and-de-morgan :args (@t56 @t237 true)) % 0.53/0.74 (step @p75 :rule trans :premises (@p74 @p73)) % 0.53/0.74 (step @p76 :rule cong :premises (@p75) :args (@t239)) % 0.53/0.74 (step @p77 :rule trans :premises (@p76 @p71)) % 0.53/0.74 (step @p78 :rule cong :premises (@p77) :args (@t240)) % 0.53/0.74 (step @p79 :rule exists-elim :args ((= (exists @t58 @t238) @t240))) % 0.53/0.74 (step @p80 :rule trans :premises (@p79 @p78)) % 0.53/0.74 (step @p81 :rule bool-and-de-morgan :args (@t114 @t113 true)) % 0.53/0.74 (step @p82 :rule cong :premises (@p81) :args (@t241)) % 0.53/0.74 (step @p83 :rule cong :premises (@p82) :args (@t242)) % 0.53/0.74 (step @p84 :rule exists-elim :args ((= @t117 @t242))) % 0.53/0.74 (step @p85 :rule trans :premises (@p84 @p83)) % 0.53/0.74 (step @p86 :rule refl :args (@t56)) % 0.53/0.74 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t118)) % 0.53/0.74 (step @p88 :rule cong :premises (@p87) :args (@t119)) % 0.53/0.74 (step @p89 :rule trans :premises (@p88 @p80)) % 0.53/0.74 (step @p90 :rule aci_norm :args ((= @t244 @t221))) % 0.53/0.74 (step @p91 :rule cong :premises (@p90) :args (@t245)) % 0.53/0.74 (step @p92 :rule quant-merge-prenex :args ((= (forall @t79 @t247) @t245))) % 0.53/0.74 (step @p93 :rule alpha_equiv :args (@t248 (@list @t210) (@list @t89))) % 0.53/0.74 (step @p94 :rule refl :args (@t220)) % 0.53/0.74 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t249)) % 0.53/0.74 (step @p96 :rule quant-miniscope-or :args ((= @t247 @t249))) % 0.53/0.74 (step @p97 :rule trans :premises (@p96 @p95)) % 0.53/0.74 (step @p98 :rule symm :premises (@p97)) % 0.53/0.74 (step @p99 :rule cong :premises (@p98) :args ((forall @t79 (or @t220 @t250)))) % 0.53/0.74 (step @p100 :rule trans :premises (@p99 @p92)) % 0.53/0.74 (step @p101 :rule trans :premises (@p100 @p91)) % 0.53/0.74 (step @p102 :rule bool-double-not-elim :args (@t250)) % 0.53/0.74 (step @p103 :rule nary_cong :premises (@p94 @p102) :args ((or @t220 (not @t251)))) % 0.53/0.74 (step @p104 :rule bool-and-de-morgan :args (@t124 @t251 true)) % 0.53/0.74 (step @p105 :rule trans :premises (@p104 @p103)) % 0.53/0.74 (step @p106 :rule cong :premises (@p105) :args (@t253)) % 0.53/0.74 (step @p107 :rule trans :premises (@p106 @p101)) % 0.53/0.74 (step @p108 :rule cong :premises (@p107) :args (@t254)) % 0.53/0.74 (step @p109 :rule exists-elim :args ((= (exists @t79 @t252) @t254))) % 0.53/0.74 (step @p110 :rule trans :premises (@p109 @p108)) % 0.53/0.74 (step @p111 :rule bool-and-de-morgan :args (@t121 @t120 true)) % 0.53/0.74 (step @p112 :rule cong :premises (@p111) :args (@t255)) % 0.53/0.74 (step @p113 :rule cong :premises (@p112) :args (@t256)) % 0.53/0.74 (step @p114 :rule exists-elim :args ((= @t123 @t256))) % 0.53/0.74 (step @p115 :rule trans :premises (@p114 @p113)) % 0.53/0.74 (step @p116 :rule refl :args (@t124)) % 0.53/0.74 (step @p117 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bool-and-de-morgan :args (@t93 @t92 true)) % 0.53/0.74 (step @p827 :rule cong :premises (@p826) :args (@t638)) % 0.53/0.74 (step @p828 :rule cong :premises (@p827) :args (@t639)) % 0.53/0.74 (step @p829 :rule exists-elim :args ((= @t96 @t639))) % 0.53/0.74 (step @p830 :rule trans :premises (@p829 @p828)) % 0.53/0.74 (step @p831 :rule nary_cong :premises (@p830 @p825) :args (@t97)) % 0.53/0.74 (step @p832 :rule cong :premises (@p831) :args (@t99)) % 0.53/0.74 (step @p833 :rule trans :premises (@p832 @p824)) % 0.53/0.74 (step @p834 :rule cong :premises (@p833) :args (@t100)) % 0.53/0.74 (step @p835 :rule eq_resolve :premises (@p8 @p834)) % 0.53/0.74 (step @p836 :rule instantiate :premises (@p835) :args (@t565)) % 0.53/0.74 (step @p837 :rule skolemize :premises (@p836)) % 0.53/0.74 (step @p838 :rule bool-double-not-elim :args (@t641)) % 0.53/0.74 (step @p839 :rule refl :args (@t645)) % 0.53/0.74 (step @p840 :rule nary_cong :premises (@p839 @p838) :args ((or @t645 (not @t642)))) % 0.53/0.74 (step @p841 :rule cnf_or_neg :args (@t645 1)) % 0.53/0.74 (step @p842 :rule eq_resolve :premises (@p841 @p840)) % 0.53/0.74 (step @p843 :rule reordering :premises (@p842) :args ((or @t641 @t645))) % 0.53/0.74 (step @p844 :rule chain_m_resolution :premises (@p843 @p837) :args (@t641 @t403 @t646)) % 0.53/0.74 (step @p845 :rule true_intro :premises (@p844)) % 0.53/0.74 (step @p846 :rule bool-double-not-elim :args (@t472)) % 0.53/0.74 (step @p847 :rule nary_cong :premises (@p496 @p846) :args ((or @t474 (not @t473)))) % 0.53/0.74 (step @p848 :rule cnf_or_neg :args (@t474 0)) % 0.53/0.74 (step @p849 :rule eq_resolve :premises (@p848 @p847)) % 0.53/0.74 (step @p850 :rule reordering :premises (@p849) :args ((or @t472 @t474))) % 0.53/0.74 (step @p851 :rule chain_m_resolution :premises (@p850 @p494) :args (@t472 @t403 @t483)) % 0.53/0.74 (step @p852 :rule eq-symm :args (@t640 @t326)) % 0.53/0.74 (step @p853 :rule refl :args (@t643)) % 0.53/0.74 (step @p854 :rule nary_cong :premises (@p853 @p852) :args (@t647)) % 0.53/0.74 (step @p855 :rule refl :args (@t644)) % 0.53/0.74 (step @p856 :rule nary_cong :premises (@p855 @p854) :args (@t648)) % 0.53/0.74 (step @p857 :rule refl :args (@t472)) % 0.53/0.74 (step @p858 :rule cong :premises (@p857 @p856) :args ((=> @t472 @t648))) % 0.53/0.74 (assume-push @p927 @t472) % 0.53/0.74 (step @p860 :rule instantiate :premises (@p851) :args ((@list @t640))) % 0.53/0.74 (step-pop @p928 :rule scope :premises (@p860)) % 0.53/0.74 (step @p861 :rule process_scope :premises (@p928) :args (@t648)) % 0.53/0.74 (step @p863 :rule eq_resolve :premises (@p861 @p858)) % 0.53/0.74 (step @p864 :rule implies_elim :premises (@p863)) % 0.53/0.74 (step @p865 :rule chain_m_resolution :premises (@p864 @p851) :args (@t651 @t537 (@list @t472))) % 0.53/0.74 (step @p866 :rule bool-double-not-elim :args (@t643)) % 0.53/0.74 (step @p867 :rule nary_cong :premises (@p839 @p866) :args ((or @t645 (not @t644)))) % 0.53/0.74 (step @p868 :rule cnf_or_neg :args (@t645 0)) % 0.53/0.74 (step @p869 :rule eq_resolve :premises (@p868 @p867)) % 0.53/0.74 (step @p870 :rule reordering :premises (@p869) :args ((or @t643 @t645))) % 0.53/0.74 (step @p871 :rule chain_m_resolution :premises (@p870 @p837) :args (@t643 @t403 @t646)) % 0.53/0.74 (step @p872 :rule cnf_or_pos :args (@t651)) % 0.53/0.74 (step @p873 :rule reordering :premises (@p872) :args ((or @t644 @t650 (not @t651)))) % 0.53/0.74 (step @p874 :rule chain_m_resolution :premises (@p873 @p871 @p865) :args (@t650 @t538 (@list @t643 @t651))) % 0.53/0.74 (step @p875 :rule cnf_and_pos :args (@t650 1)) % 0.53/0.74 (step @p876 :rule reordering :premises (@p875) :args ((or @t649 (not @t650)))) % 0.53/0.74 (step @p877 :rule chain_m_resolution :premises (@p876 @p874) :args (@t649 @t537 (@list @t650))) % 0.53/0.74 (step @p878 :rule cong :premises (@p658 @p877 @p658) :args (@t652)) % 0.53/0.74 (step @p879 :rule trans :premises (@p878 @p845)) % 0.53/0.74 (step @p880 :rule true_elim :premises (@p879)) % 0.53/0.74 (step @p881 :rule cnf_or_pos :args (@t656)) % 0.53/0.74 (step @p882 :rule reordering :premises (@p881) :args ((or @t655 @t654 (not @t656)))) % 0.53/0.74 (step @p883 :rule chain_m_resolution :premises (@p882 @p880 @p777) :args (@t654 @t538 (@list @t652 @t656))) % 0.53/0.74 (step @p884 :rule cnf_and_pos :args (@t654 1)) % 0.53/0.74 (step @p885 :rule reordering :premises (@p884) :args ((or @t653 (not @t654)))) % 0.53/0.74 (step @p886 :rule chain_m_resolution :premises (@p885 @p883) :args (@t653 @t537 (@list @t654))) % 0.53/0.74 (step @p887 :rule trans :premises (@p886 @p776)) % 0.53/0.74 (step @p888 :rule cong :premises (@p887 @p625) :args (@t584)) % 0.53/0.74 (step @p889 :rule trans :premises (@p888 @p719)) % 0.53/0.74 (step @p890 :rule true_elim :premises (@p889)) % 0.53/0.74 (step @p891 :rule cnf_or_pos :args (@t590)) % 0.53/0.74 (step @p892 :rule reordering :premises (@p891) :args ((or @t586 @t589 (not @t590)))) % 0.53/0.74 (step @p893 :rule chain_m_resolution :premises (@p892 @p890 @p712) :args (@t589 @t538 (@list @t584 @t590))) % 0.53/0.74 (step @p894 :rule cnf_and_pos :args (@t589 1)) % 0.53/0.74 (step @p895 :rule reordering :premises (@p894) :args ((or @t588 (not @t589)))) % 0.53/0.74 (step @p896 :rule chain_m_resolution :premises (@p895 @p893) :args (@t588 @t537 (@list @t589))) % 0.53/0.74 (step @p897 :rule trans :premises (@p896 @p667 @p613)) % 0.53/0.74 (step @p898 :rule cong :premises (@p658 @p897) :args (@t570)) % 0.53/0.74 (step @p899 :rule bool-double-not-elim :args (@t570)) % 0.53/0.74 (step @p900 :rule nary_cong :premises (@p693 @p899) :args ((or @t574 (not @t571)))) % 0.53/0.74 (step @p901 :rule cnf_or_neg :args (@t574 1)) % 0.53/0.74 (step @p902 :rule eq_resolve :premises (@p901 @p900)) % 0.53/0.74 (step @p903 :rule reordering :premises (@p902) :args ((or @t570 @t574))) % 0.53/0.74 (step @p904 :rule chain_m_resolution :premises (@p903 @p691) :args (@t570 @t403 @t583)) % 0.53/0.74 (step @p905 :rule true_intro :premises (@p904)) % 0.53/0.74 (step @p906 :rule symm :premises (@p905)) % 0.53/0.74 (step @p907 :rule trans :premises (@p906 @p898 @p506)) % 0.53/0.74 (step @p908 false :rule eq_resolve :premises (@p907 @p14)) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------