%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN081+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:42:55 AM UTC 2026 % Result : Theorem 0.51s 0.75s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN081+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:41:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.75 % SZS status Theorem % 0.51/0.75 % SZS output start Proof % 0.51/0.75 ( % 0.51/0.75 (declare-sort $$unsorted 0) % 0.51/0.75 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.51/0.75 (define @t1 () (@var "Y24" $$unsorted)) % 0.51/0.75 (define @t2 () (@var "X19" $$unsorted)) % 0.51/0.75 (define @t3 () (= @t2 @t1)) % 0.51/0.75 (define @t4 () (tptp.r1 @t2)) % 0.51/0.75 (define @t5 () (and @t4 @t3)) % 0.51/0.75 (define @t6 () (not @t3)) % 0.51/0.75 (define @t7 () (not @t4)) % 0.51/0.75 (define @t8 () (and @t7 @t6)) % 0.51/0.75 (define @t9 () (or @t8 @t5)) % 0.51/0.75 (define @t10 () (@list @t2)) % 0.51/0.75 (define @t11 () (forall @t10 @t9)) % 0.51/0.75 (define @t12 () (@list @t1)) % 0.51/0.75 (define @t13 () (exists @t12 @t11)) % 0.51/0.75 (define @t14 () (@var "Y21" $$unsorted)) % 0.51/0.75 (define @t15 () (@var "X12" $$unsorted)) % 0.51/0.75 (define @t16 () (= @t15 @t14)) % 0.51/0.75 (define @t17 () (@var "X11" $$unsorted)) % 0.51/0.75 (define @t18 () (tptp.r2 @t17 @t15)) % 0.51/0.75 (define @t19 () (and @t18 @t16)) % 0.51/0.75 (define @t20 () (not @t16)) % 0.51/0.75 (define @t21 () (not @t18)) % 0.51/0.75 (define @t22 () (and @t21 @t20)) % 0.51/0.75 (define @t23 () (or @t22 @t19)) % 0.51/0.75 (define @t24 () (@list @t15)) % 0.51/0.75 (define @t25 () (forall @t24 @t23)) % 0.51/0.75 (define @t26 () (@list @t14)) % 0.51/0.75 (define @t27 () (exists @t26 @t25)) % 0.51/0.75 (define @t28 () (forall (@list @t17) @t27)) % 0.51/0.75 (define @t29 () (@var "Y22" $$unsorted)) % 0.51/0.75 (define @t30 () (@var "X15" $$unsorted)) % 0.51/0.75 (define @t31 () (= @t30 @t29)) % 0.51/0.75 (define @t32 () (@var "X14" $$unsorted)) % 0.51/0.75 (define @t33 () (@var "X13" $$unsorted)) % 0.51/0.75 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.51/0.75 (define @t35 () (and @t34 @t31)) % 0.51/0.75 (define @t36 () (not @t31)) % 0.51/0.75 (define @t37 () (not @t34)) % 0.51/0.75 (define @t38 () (and @t37 @t36)) % 0.51/0.75 (define @t39 () (or @t38 @t35)) % 0.51/0.75 (define @t40 () (@list @t30)) % 0.51/0.75 (define @t41 () (forall @t40 @t39)) % 0.51/0.75 (define @t42 () (@list @t29)) % 0.51/0.75 (define @t43 () (exists @t42 @t41)) % 0.51/0.75 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.51/0.75 (define @t45 () (@var "Y23" $$unsorted)) % 0.51/0.75 (define @t46 () (@var "X18" $$unsorted)) % 0.51/0.75 (define @t47 () (= @t46 @t45)) % 0.51/0.75 (define @t48 () (@var "X17" $$unsorted)) % 0.51/0.75 (define @t49 () (@var "X16" $$unsorted)) % 0.51/0.75 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.51/0.75 (define @t51 () (@var "Y7" $$unsorted)) % 0.51/0.75 (define @t52 () (@var "X8" $$unsorted)) % 0.51/0.75 (define @t53 () (@var "X1" $$unsorted)) % 0.51/0.75 (define @t54 () (tptp.r3 @t53 @t52 @t51)) % 0.51/0.75 (define @t55 () (@var "Y4" $$unsorted)) % 0.51/0.75 (define @t56 () (tptp.r2 @t51 @t55)) % 0.51/0.75 (define @t57 () (and @t56 @t54)) % 0.51/0.75 (define @t58 () (@list @t51)) % 0.51/0.75 (define @t59 () (exists @t58 @t57)) % 0.51/0.75 (define @t60 () (@var "Y5" $$unsorted)) % 0.51/0.75 (define @t61 () (= @t60 @t55)) % 0.51/0.75 (define @t62 () (@var "Y15" $$unsorted)) % 0.51/0.75 (define @t63 () (tptp.r3 @t53 @t62 @t60)) % 0.51/0.75 (define @t64 () (tptp.r2 @t52 @t62)) % 0.51/0.75 (define @t65 () (and @t64 @t63)) % 0.51/0.75 (define @t66 () (@list @t62)) % 0.51/0.75 (define @t67 () (exists @t66 @t65)) % 0.51/0.75 (define @t68 () (and @t67 @t61)) % 0.51/0.75 (define @t69 () (@list @t60)) % 0.51/0.75 (define @t70 () (exists @t69 @t68)) % 0.51/0.75 (define @t71 () (and @t70 @t59)) % 0.51/0.75 (define @t72 () (@list @t55)) % 0.51/0.75 (define @t73 () (exists @t72 @t71)) % 0.51/0.75 (define @t74 () (forall (@list @t53 @t52) @t73)) % 0.51/0.75 (define @t75 () (@var "Y6" $$unsorted)) % 0.51/0.75 (define @t76 () (@var "X9" $$unsorted)) % 0.51/0.75 (define @t77 () (@var "X2" $$unsorted)) % 0.51/0.75 (define @t78 () (@var "Y2" $$unsorted)) % 0.51/0.75 (define @t79 () (@list @t75)) % 0.51/0.75 (define @t80 () (@var "Y3" $$unsorted)) % 0.51/0.75 (define @t81 () (@var "Y14" $$unsorted)) % 0.51/0.75 (define @t82 () (@var "X10" $$unsorted)) % 0.51/0.75 (define @t83 () (@var "X3" $$unsorted)) % 0.51/0.75 (define @t84 () (@var "Y12" $$unsorted)) % 0.51/0.75 (define @t85 () (@var "Y13" $$unsorted)) % 0.51/0.75 (define @t86 () (@var "X4" $$unsorted)) % 0.51/0.75 (define @t87 () (@var "Y9" $$unsorted)) % 0.51/0.75 (define @t88 () (= @t87 @t86)) % 0.51/0.75 (define @t89 () (@var "Y16" $$unsorted)) % 0.51/0.75 (define @t90 () (tptp.r3 @t86 @t89 @t87)) % 0.51/0.75 (define @t91 () (tptp.r1 @t89)) % 0.51/0.75 (define @t92 () (and @t91 @t90)) % 0.51/0.75 (define @t93 () (@list @t89)) % 0.51/0.75 (define @t94 () (exists @t93 @t92)) % 0.51/0.75 (define @t95 () (and @t94 @t88)) % 0.51/0.75 (define @t96 () (@list @t87)) % 0.51/0.75 (define @t97 () (exists @t96 @t95)) % 0.51/0.75 (define @t98 () (forall (@list @t86) @t97)) % 0.51/0.75 (define @t99 () (@var "Y18" $$unsorted)) % 0.51/0.75 (define @t100 () (@var "Y8" $$unsorted)) % 0.51/0.75 (define @t101 () (@var "Y17" $$unsorted)) % 0.51/0.75 (define @t102 () (@var "X5" $$unsorted)) % 0.51/0.75 (define @t103 () (@var "Y11" $$unsorted)) % 0.51/0.75 (define @t104 () (@var "X6" $$unsorted)) % 0.51/0.75 (define @t105 () (@var "Y1" $$unsorted)) % 0.51/0.75 (define @t106 () (@var "Y19" $$unsorted)) % 0.51/0.75 (define @t107 () (@var "Y10" $$unsorted)) % 0.51/0.75 (define @t108 () (@var "X7" $$unsorted)) % 0.51/0.75 (define @t109 () (@var "Y20" $$unsorted)) % 0.51/0.75 (define @t110 () (tptp.r2 @t51 @t75)) % 0.51/0.75 (define @t111 () (tptp.r1 @t51)) % 0.51/0.75 (define @t112 () (and @t111 @t110)) % 0.51/0.75 (define @t113 () (exists @t58 @t112)) % 0.51/0.75 (define @t114 () (tptp.r2 @t75 @t60)) % 0.51/0.75 (define @t115 () (and @t114 @t113)) % 0.51/0.75 (define @t116 () (exists @t79 @t115)) % 0.51/0.75 (define @t117 () (tptp.r2 @t60 @t55)) % 0.51/0.75 (define @t118 () (and @t117 @t116)) % 0.51/0.75 (define @t119 () (exists @t69 @t118)) % 0.51/0.75 (define @t120 () (and (= @t80 @t55) @t119)) % 0.51/0.75 (define @t121 () (exists @t72 @t120)) % 0.51/0.75 (define @t122 () (tptp.r3 @t105 @t78 @t80)) % 0.51/0.75 (define @t123 () (and @t122 @t121)) % 0.51/0.75 (define @t124 () (@list @t105 @t78 @t80)) % 0.51/0.75 (define @t125 () (exists @t124 @t123)) % 0.51/0.75 (define @t126 () (not @t125)) % 0.51/0.75 (define @t127 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 0.51/0.75 (define @t128 () (@var "BOUND_VARIABLE_8239" $$unsorted)) % 0.51/0.75 (define @t129 () (not (tptp.r2 @t128 @t127))) % 0.51/0.75 (define @t130 () (not (tptp.r1 @t128))) % 0.51/0.75 (define @t131 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 0.51/0.75 (define @t132 () (not (tptp.r2 @t127 @t131))) % 0.51/0.75 (define @t133 () (not (tptp.r2 @t131 @t80))) % 0.51/0.75 (define @t134 () (not @t122)) % 0.51/0.75 (define @t135 () (or @t134 @t133 @t132 @t130 @t129)) % 0.51/0.75 (define @t136 () (@list @t105 @t78 @t80 @t131 @t127 @t128)) % 0.51/0.75 (define @t137 () (forall @t136 @t135)) % 0.51/0.75 (define @t138 () (or @t133 @t132 @t130 @t129)) % 0.51/0.75 (define @t139 () (or @t134 @t138)) % 0.51/0.75 (define @t140 () (forall @t136 @t139)) % 0.51/0.75 (define @t141 () (@list @t131 @t127 @t128)) % 0.51/0.75 (define @t142 () (forall @t141 @t139)) % 0.51/0.75 (define @t143 () (forall @t141 @t138)) % 0.51/0.75 (define @t144 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.51/0.75 (define @t145 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 0.51/0.75 (define @t146 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.51/0.75 (define @t147 () (@list @t146 @t145 @t144)) % 0.51/0.75 (define @t148 () (or @t134 @t143)) % 0.51/0.75 (define @t149 () (not (tptp.r2 @t144 @t145))) % 0.51/0.75 (define @t150 () (not (tptp.r1 @t144))) % 0.51/0.75 (define @t151 () (not (tptp.r2 @t145 @t146))) % 0.51/0.75 (define @t152 () (not (tptp.r2 @t146 @t80))) % 0.51/0.75 (define @t153 () (or @t152 @t151 @t150 @t149)) % 0.51/0.75 (define @t154 () (@list @t146 @t145 @t144)) % 0.51/0.75 (define @t155 () (forall @t154 @t153)) % 0.51/0.75 (define @t156 () (not @t155)) % 0.51/0.75 (define @t157 () (and @t122 @t156)) % 0.51/0.75 (define @t158 () (forall @t124 (not @t157))) % 0.51/0.75 (define @t159 () (not @t158)) % 0.51/0.75 (define @t160 () (not (= @t80 @t80))) % 0.51/0.75 (define @t161 () (or @t160 @t152 @t151 @t150 @t149)) % 0.51/0.75 (define @t162 () (not (tptp.r2 @t146 @t55))) % 0.51/0.75 (define @t163 () (= @t55 @t80)) % 0.51/0.75 (define @t164 () (not @t163)) % 0.51/0.75 (define @t165 () (or @t164 @t164 @t162 @t151 @t150 @t149)) % 0.51/0.75 (define @t166 () (or @t164 @t162 @t151 @t150 @t149)) % 0.51/0.75 (define @t167 () (forall @t72 @t166)) % 0.51/0.75 (define @t168 () (forall @t154 @t167)) % 0.51/0.75 (define @t169 () (forall (@list @t146 @t145 @t144 @t55) @t166)) % 0.51/0.75 (define @t170 () (@list @t55 @t146 @t145 @t144)) % 0.51/0.75 (define @t171 () (or @t162 @t151 @t150 @t149)) % 0.51/0.75 (define @t172 () (or @t164 @t171)) % 0.51/0.75 (define @t173 () (forall @t170 @t172)) % 0.51/0.75 (define @t174 () (forall @t154 @t172)) % 0.51/0.75 (define @t175 () (forall @t154 @t171)) % 0.51/0.75 (define @t176 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 0.51/0.75 (define @t177 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 0.51/0.75 (define @t178 () (or @t164 @t175)) % 0.51/0.75 (define @t179 () (not (tptp.r2 @t176 @t177))) % 0.51/0.75 (define @t180 () (not (tptp.r1 @t176))) % 0.51/0.75 (define @t181 () (not (tptp.r2 @t177 @t60))) % 0.51/0.75 (define @t182 () (not @t117)) % 0.51/0.75 (define @t183 () (or @t182 @t181 @t180 @t179)) % 0.51/0.75 (define @t184 () (@list @t60 @t177 @t176)) % 0.51/0.75 (define @t185 () (forall @t184 @t183)) % 0.51/0.75 (define @t186 () (not @t185)) % 0.51/0.75 (define @t187 () (and @t163 @t186)) % 0.51/0.75 (define @t188 () (forall @t72 (not @t187))) % 0.51/0.75 (define @t189 () (not @t188)) % 0.51/0.75 (define @t190 () (or @t181 @t180 @t179)) % 0.51/0.75 (define @t191 () (or @t182 @t190)) % 0.51/0.75 (define @t192 () (forall @t184 @t191)) % 0.51/0.75 (define @t193 () (@list @t177 @t176)) % 0.51/0.75 (define @t194 () (forall @t193 @t191)) % 0.51/0.75 (define @t195 () (forall @t193 @t190)) % 0.51/0.75 (define @t196 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 0.51/0.75 (define @t197 () (or @t182 @t195)) % 0.51/0.75 (define @t198 () (not (tptp.r2 @t196 @t75))) % 0.51/0.75 (define @t199 () (not (tptp.r1 @t196))) % 0.51/0.75 (define @t200 () (not @t114)) % 0.51/0.75 (define @t201 () (or @t200 @t199 @t198)) % 0.51/0.75 (define @t202 () (@list @t75 @t196)) % 0.51/0.75 (define @t203 () (forall @t202 @t201)) % 0.51/0.75 (define @t204 () (not @t203)) % 0.51/0.75 (define @t205 () (and @t117 @t204)) % 0.51/0.75 (define @t206 () (forall @t69 (not @t205))) % 0.51/0.75 (define @t207 () (not @t206)) % 0.51/0.75 (define @t208 () (or @t199 @t198)) % 0.51/0.75 (define @t209 () (or @t200 @t208)) % 0.51/0.75 (define @t210 () (forall @t202 @t209)) % 0.51/0.75 (define @t211 () (@list @t196)) % 0.51/0.75 (define @t212 () (forall @t211 @t209)) % 0.51/0.75 (define @t213 () (forall @t211 @t208)) % 0.51/0.75 (define @t214 () (@list @t51)) % 0.51/0.75 (define @t215 () (or @t200 @t213)) % 0.51/0.75 (define @t216 () (forall @t58 (or (not @t111) (not @t110)))) % 0.51/0.75 (define @t217 () (not @t216)) % 0.51/0.75 (define @t218 () (and @t114 @t217)) % 0.51/0.75 (define @t219 () (forall @t79 (not @t218))) % 0.51/0.75 (define @t220 () (not @t219)) % 0.51/0.75 (define @t221 () (forall @t58 (not @t112))) % 0.51/0.75 (define @t222 () (not @t221)) % 0.51/0.75 (define @t223 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.51/0.75 (define @t224 () (not (tptp.r3 @t53 @t52 @t223))) % 0.51/0.75 (define @t225 () (not (tptp.r2 @t223 @t55))) % 0.51/0.75 (define @t226 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 0.51/0.75 (define @t227 () (not (tptp.r3 @t53 @t226 @t55))) % 0.51/0.75 (define @t228 () (not (tptp.r2 @t52 @t226))) % 0.51/0.75 (define @t229 () (or @t225 @t224)) % 0.51/0.75 (define @t230 () (or @t228 @t227)) % 0.51/0.75 (define @t231 () (or @t230 @t229)) % 0.51/0.75 (define @t232 () (@list @t55 @t226 @t223)) % 0.51/0.75 (define @t233 () (forall @t232 @t231)) % 0.51/0.75 (define @t234 () (forall (@list @t226 @t223) @t231)) % 0.51/0.75 (define @t235 () (forall (@list @t223) @t229)) % 0.51/0.75 (define @t236 () (forall (@list @t226) @t230)) % 0.51/0.75 (define @t237 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 0.51/0.75 (define @t238 () (@list @t237)) % 0.51/0.75 (define @t239 () (or @t236 @t235)) % 0.51/0.75 (define @t240 () (forall @t58 (or (not @t56) (not @t54)))) % 0.51/0.75 (define @t241 () (not (tptp.r3 @t53 @t237 @t55))) % 0.51/0.75 (define @t242 () (not (tptp.r2 @t52 @t237))) % 0.51/0.75 (define @t243 () (or @t242 @t241)) % 0.51/0.75 (define @t244 () (@list @t237)) % 0.51/0.75 (define @t245 () (forall @t244 @t243)) % 0.51/0.75 (define @t246 () (not @t240)) % 0.51/0.75 (define @t247 () (not @t245)) % 0.51/0.75 (define @t248 () (and @t247 @t246)) % 0.51/0.75 (define @t249 () (forall @t72 (not @t248))) % 0.51/0.75 (define @t250 () (not @t249)) % 0.51/0.75 (define @t251 () (forall @t58 (not @t57))) % 0.51/0.75 (define @t252 () (not @t251)) % 0.51/0.75 (define @t253 () (not (= @t55 @t55))) % 0.51/0.75 (define @t254 () (or @t253 @t242 @t241)) % 0.51/0.75 (define @t255 () (not (tptp.r3 @t53 @t237 @t60))) % 0.51/0.75 (define @t256 () (= @t55 @t60)) % 0.51/0.75 (define @t257 () (not @t256)) % 0.51/0.75 (define @t258 () (or @t257 @t257 @t242 @t255)) % 0.51/0.75 (define @t259 () (or @t257 @t242 @t255)) % 0.51/0.75 (define @t260 () (forall @t69 @t259)) % 0.51/0.75 (define @t261 () (forall @t244 @t260)) % 0.51/0.75 (define @t262 () (forall (@list @t237 @t60) @t259)) % 0.51/0.75 (define @t263 () (@list @t60 @t237)) % 0.51/0.75 (define @t264 () (or @t242 @t255)) % 0.51/0.75 (define @t265 () (or @t264 @t257)) % 0.51/0.75 (define @t266 () (forall @t263 @t265)) % 0.51/0.75 (define @t267 () (forall @t244 @t265)) % 0.51/0.75 (define @t268 () (forall @t244 @t264)) % 0.51/0.75 (define @t269 () (or @t268 @t257)) % 0.51/0.75 (define @t270 () (forall @t66 (or (not @t64) (not @t63)))) % 0.51/0.75 (define @t271 () (not @t270)) % 0.51/0.75 (define @t272 () (and @t271 @t256)) % 0.51/0.75 (define @t273 () (forall @t69 (not @t272))) % 0.51/0.75 (define @t274 () (not @t273)) % 0.51/0.75 (define @t275 () (forall @t66 (not @t65))) % 0.51/0.75 (define @t276 () (not @t275)) % 0.51/0.75 (define @t277 () (tptp.r1 @t1)) % 0.51/0.75 (define @t278 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 0.51/0.75 (define @t279 () (tptp.r1 @t278)) % 0.51/0.75 (define @t280 () (not @t279)) % 0.51/0.75 (define @t281 () (@list @t278)) % 0.51/0.75 (define @t282 () (forall @t281 (or @t280 (and @t279 (= @t1 @t278))))) % 0.51/0.75 (define @t283 () (forall @t12 (or (not @t282) (not @t277)))) % 0.51/0.75 (define @t284 () (@quantifiers_skolemize @t283 0)) % 0.51/0.75 (define @t285 () (@var "BOUND_VARIABLE_7687" $$unsorted)) % 0.51/0.75 (define @t286 () (= @t14 @t285)) % 0.51/0.75 (define @t287 () (tptp.r2 @t284 @t285)) % 0.51/0.75 (define @t288 () (not @t287)) % 0.51/0.75 (define @t289 () (@list @t285)) % 0.51/0.75 (define @t290 () (forall @t26 (or (not (forall @t289 (or @t288 (and @t287 @t286)))) (not (tptp.r2 @t284 @t14))))) % 0.51/0.75 (define @t291 () (@quantifiers_skolemize @t290 0)) % 0.51/0.75 (define @t292 () (@list @t291 @t291)) % 0.51/0.75 (define @t293 () (not (tptp.r3 @t291 @t226 @t55))) % 0.51/0.75 (define @t294 () (forall @t232 (or (not (tptp.r2 @t291 @t226)) @t293 @t225 (not (tptp.r3 @t291 @t291 @t223))))) % 0.51/0.75 (define @t295 () (@quantifiers_skolemize @t294 0)) % 0.51/0.75 (define @t296 () (@quantifiers_skolemize @t294 2)) % 0.51/0.75 (define @t297 () (tptp.r2 @t296 @t295)) % 0.51/0.75 (define @t298 () (tptp.r3 @t291 @t291 @t296)) % 0.51/0.75 (define @t299 () (not @t298)) % 0.51/0.75 (define @t300 () (not @t297)) % 0.51/0.75 (define @t301 () (@quantifiers_skolemize @t294 1)) % 0.51/0.75 (define @t302 () (tptp.r3 @t291 @t301 @t295)) % 0.51/0.75 (define @t303 () (not @t302)) % 0.51/0.75 (define @t304 () (or (not (tptp.r2 @t291 @t301)) @t303 @t300 @t299)) % 0.51/0.75 (define @t305 () (@list true)) % 0.51/0.75 (define @t306 () (@list @t304)) % 0.51/0.75 (define @t307 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.51/0.75 (define @t308 () (= @t29 @t307)) % 0.51/0.75 (define @t309 () (tptp.r3 @t33 @t32 @t307)) % 0.51/0.75 (define @t310 () (@list @t307)) % 0.51/0.75 (define @t311 () (forall @t310 (or (not @t309) (and @t309 @t308)))) % 0.51/0.75 (define @t312 () (tptp.r3 @t33 @t32 @t29)) % 0.51/0.75 (define @t313 () (and @t311 @t312)) % 0.51/0.75 (define @t314 () (forall @t42 (not @t313))) % 0.51/0.75 (define @t315 () (not @t314)) % 0.51/0.75 (define @t316 () (= @t29 @t29)) % 0.51/0.75 (define @t317 () (and @t312 @t316)) % 0.51/0.75 (define @t318 () (not @t316)) % 0.51/0.75 (define @t319 () (or @t318 @t317)) % 0.51/0.75 (define @t320 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.51/0.75 (define @t321 () (= @t29 @t320)) % 0.51/0.75 (define @t322 () (and (tptp.r3 @t33 @t32 @t320) @t321)) % 0.51/0.75 (define @t323 () (not @t321)) % 0.51/0.75 (define @t324 () (@list @t320)) % 0.51/0.75 (define @t325 () (or @t323 @t323 @t322)) % 0.51/0.75 (define @t326 () (or @t323 @t322)) % 0.51/0.75 (define @t327 () (forall @t324 @t326)) % 0.51/0.75 (define @t328 () (= @t29 @t30)) % 0.51/0.75 (define @t329 () (and @t34 @t328)) % 0.51/0.75 (define @t330 () (not @t328)) % 0.51/0.75 (define @t331 () (or @t330 @t329)) % 0.51/0.75 (define @t332 () (forall @t40 @t331)) % 0.51/0.75 (define @t333 () (@list @t30)) % 0.51/0.75 (define @t334 () (or @t37 @t329)) % 0.51/0.75 (define @t335 () (forall @t40 @t334)) % 0.51/0.75 (define @t336 () (and @t335 @t332)) % 0.51/0.75 (define @t337 () (tptp.r3 @t291 @t291 @t307)) % 0.51/0.75 (define @t338 () (not @t337)) % 0.51/0.75 (define @t339 () (forall @t42 (or (not (forall @t310 (or @t338 (and @t337 @t308)))) (not (tptp.r3 @t291 @t291 @t29))))) % 0.51/0.75 (define @t340 () (@quantifiers_skolemize @t339 0)) % 0.51/0.75 (define @t341 () (not (tptp.r3 @t291 @t291 @t340))) % 0.51/0.75 (define @t342 () (forall @t310 (or @t338 (and @t337 (= @t307 @t340))))) % 0.51/0.75 (define @t343 () (not @t342)) % 0.51/0.75 (define @t344 () (or @t343 @t341)) % 0.51/0.75 (define @t345 () (not @t344)) % 0.51/0.75 (define @t346 () (not @t339)) % 0.51/0.75 (define @t347 () (and @t337 (= @t340 @t307))) % 0.51/0.75 (define @t348 () (or @t338 @t347)) % 0.51/0.75 (define @t349 () (forall @t310 @t348)) % 0.51/0.75 (define @t350 () (not @t349)) % 0.51/0.75 (define @t351 () (or @t350 @t341)) % 0.51/0.75 (define @t352 () (not @t351)) % 0.51/0.75 (define @t353 () (and @t298 (= @t296 @t340))) % 0.51/0.75 (define @t354 () (or @t299 @t353)) % 0.51/0.75 (define @t355 () (= @t340 @t296)) % 0.51/0.75 (define @t356 () (and @t298 @t355)) % 0.51/0.75 (define @t357 () (or @t299 @t356)) % 0.51/0.75 (define @t358 () (@list false)) % 0.51/0.75 (define @t359 () (@list false false)) % 0.51/0.75 (define @t360 () (forall @t232 (or (not (tptp.r2 @t284 @t226)) @t293 @t225 (not (tptp.r3 @t291 @t284 @t223))))) % 0.51/0.75 (define @t361 () (@quantifiers_skolemize @t360 0)) % 0.51/0.75 (define @t362 () (@list @t361)) % 0.51/0.75 (define @t363 () (@list @t291 @t284)) % 0.51/0.75 (define @t364 () (@quantifiers_skolemize @t360 1)) % 0.51/0.75 (define @t365 () (tptp.r3 @t291 @t364 @t361)) % 0.51/0.75 (define @t366 () (@quantifiers_skolemize @t360 2)) % 0.51/0.75 (define @t367 () (tptp.r3 @t291 @t284 @t366)) % 0.51/0.75 (define @t368 () (not @t367)) % 0.51/0.75 (define @t369 () (tptp.r2 @t366 @t361)) % 0.51/0.75 (define @t370 () (not @t369)) % 0.51/0.75 (define @t371 () (not @t365)) % 0.51/0.75 (define @t372 () (tptp.r2 @t284 @t364)) % 0.51/0.75 (define @t373 () (not @t372)) % 0.51/0.75 (define @t374 () (or @t373 @t371 @t370 @t368)) % 0.51/0.75 (define @t375 () (@list @t374)) % 0.51/0.75 (define @t376 () (tptp.r2 @t17 @t285)) % 0.51/0.75 (define @t377 () (forall @t289 (or (not @t376) (and @t376 @t286)))) % 0.51/0.75 (define @t378 () (tptp.r2 @t17 @t14)) % 0.51/0.75 (define @t379 () (and @t377 @t378)) % 0.51/0.75 (define @t380 () (forall @t26 (not @t379))) % 0.51/0.75 (define @t381 () (not @t380)) % 0.51/0.75 (define @t382 () (= @t14 @t14)) % 0.51/0.75 (define @t383 () (and @t378 @t382)) % 0.51/0.75 (define @t384 () (not @t382)) % 0.51/0.75 (define @t385 () (or @t384 @t383)) % 0.51/0.75 (define @t386 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.51/0.75 (define @t387 () (= @t14 @t386)) % 0.51/0.75 (define @t388 () (and (tptp.r2 @t17 @t386) @t387)) % 0.51/0.75 (define @t389 () (not @t387)) % 0.51/0.75 (define @t390 () (@list @t386)) % 0.51/0.75 (define @t391 () (or @t389 @t389 @t388)) % 0.51/0.75 (define @t392 () (or @t389 @t388)) % 0.51/0.75 (define @t393 () (forall @t390 @t392)) % 0.51/0.75 (define @t394 () (= @t14 @t15)) % 0.51/0.75 (define @t395 () (and @t18 @t394)) % 0.51/0.75 (define @t396 () (not @t394)) % 0.51/0.75 (define @t397 () (or @t396 @t395)) % 0.51/0.75 (define @t398 () (forall @t24 @t397)) % 0.51/0.75 (define @t399 () (@list @t15)) % 0.51/0.75 (define @t400 () (or @t21 @t395)) % 0.51/0.75 (define @t401 () (forall @t24 @t400)) % 0.51/0.75 (define @t402 () (and @t401 @t398)) % 0.51/0.75 (define @t403 () (tptp.r2 @t284 @t291)) % 0.51/0.75 (define @t404 () (not @t403)) % 0.51/0.75 (define @t405 () (forall @t289 (or @t288 (and @t287 (= @t285 @t291))))) % 0.51/0.75 (define @t406 () (not @t405)) % 0.51/0.75 (define @t407 () (or @t406 @t404)) % 0.51/0.75 (define @t408 () (not @t407)) % 0.51/0.75 (define @t409 () (not @t290)) % 0.51/0.75 (define @t410 () (and @t287 (= @t291 @t285))) % 0.51/0.75 (define @t411 () (or @t288 @t410)) % 0.51/0.75 (define @t412 () (forall @t289 @t411)) % 0.51/0.75 (define @t413 () (not @t412)) % 0.51/0.75 (define @t414 () (or @t413 @t404)) % 0.51/0.75 (define @t415 () (not @t414)) % 0.51/0.75 (define @t416 () (@list @t407)) % 0.51/0.75 (define @t417 () (and @t372 (= @t364 @t291))) % 0.51/0.75 (define @t418 () (or @t373 @t417)) % 0.51/0.75 (define @t419 () (= @t291 @t364)) % 0.51/0.75 (define @t420 () (and @t372 @t419)) % 0.51/0.75 (define @t421 () (or @t373 @t420)) % 0.51/0.75 (define @t422 () (tptp.r3 @t291 @t291 @t361)) % 0.51/0.75 (define @t423 () (= @t361 @t340)) % 0.51/0.75 (define @t424 () (and @t422 @t423)) % 0.51/0.75 (define @t425 () (not @t422)) % 0.51/0.75 (define @t426 () (or @t425 @t424)) % 0.51/0.75 (define @t427 () (@list @t291)) % 0.51/0.75 (define @t428 () (tptp.r2 @t291 @t285)) % 0.51/0.75 (define @t429 () (not @t428)) % 0.51/0.75 (define @t430 () (forall @t26 (or (not (forall @t289 (or @t429 (and @t428 @t286)))) (not (tptp.r2 @t291 @t14))))) % 0.51/0.75 (define @t431 () (@quantifiers_skolemize @t430 0)) % 0.51/0.75 (define @t432 () (tptp.r2 @t291 @t431)) % 0.51/0.75 (define @t433 () (not @t432)) % 0.51/0.75 (define @t434 () (forall @t289 (or @t429 (and @t428 (= @t285 @t431))))) % 0.51/0.75 (define @t435 () (not @t434)) % 0.51/0.75 (define @t436 () (or @t435 @t433)) % 0.51/0.75 (define @t437 () (not @t436)) % 0.51/0.75 (define @t438 () (not @t430)) % 0.51/0.75 (define @t439 () (and @t428 (= @t431 @t285))) % 0.51/0.75 (define @t440 () (or @t429 @t439)) % 0.51/0.75 (define @t441 () (forall @t289 @t440)) % 0.51/0.75 (define @t442 () (not @t441)) % 0.51/0.75 (define @t443 () (or @t442 @t433)) % 0.51/0.75 (define @t444 () (not @t443)) % 0.51/0.75 (define @t445 () (@list @t436)) % 0.51/0.75 (define @t446 () (tptp.r2 @t291 @t361)) % 0.51/0.75 (define @t447 () (and @t446 (= @t361 @t431))) % 0.51/0.75 (define @t448 () (not @t446)) % 0.51/0.75 (define @t449 () (or @t448 @t447)) % 0.51/0.75 (define @t450 () (= @t431 @t361)) % 0.51/0.75 (define @t451 () (and @t446 @t450)) % 0.51/0.75 (define @t452 () (or @t448 @t451)) % 0.51/0.75 (define @t453 () (tptp.r3 @t291 @t284 @t307)) % 0.51/0.75 (define @t454 () (not @t453)) % 0.51/0.75 (define @t455 () (forall @t42 (or (not (forall @t310 (or @t454 (and @t453 @t308)))) (not (tptp.r3 @t291 @t284 @t29))))) % 0.51/0.75 (define @t456 () (@quantifiers_skolemize @t455 0)) % 0.51/0.75 (define @t457 () (not (tptp.r3 @t291 @t284 @t456))) % 0.51/0.75 (define @t458 () (forall @t310 (or @t454 (and @t453 (= @t307 @t456))))) % 0.51/0.75 (define @t459 () (not @t458)) % 0.51/0.75 (define @t460 () (or @t459 @t457)) % 0.51/0.75 (define @t461 () (not @t460)) % 0.51/0.75 (define @t462 () (not @t455)) % 0.51/0.75 (define @t463 () (and @t453 (= @t456 @t307))) % 0.51/0.75 (define @t464 () (or @t454 @t463)) % 0.51/0.75 (define @t465 () (forall @t310 @t464)) % 0.51/0.75 (define @t466 () (not @t465)) % 0.51/0.75 (define @t467 () (or @t466 @t457)) % 0.51/0.75 (define @t468 () (not @t467)) % 0.51/0.75 (define @t469 () (and @t367 (= @t366 @t456))) % 0.51/0.75 (define @t470 () (or @t368 @t469)) % 0.51/0.75 (define @t471 () (= @t456 @t366)) % 0.51/0.75 (define @t472 () (and @t367 @t471)) % 0.51/0.75 (define @t473 () (or @t368 @t472)) % 0.51/0.75 (define @t474 () (@var "BOUND_VARIABLE_8019" $$unsorted)) % 0.51/0.75 (define @t475 () (not (tptp.r3 @t86 @t474 @t86))) % 0.51/0.75 (define @t476 () (not (tptp.r1 @t474))) % 0.51/0.75 (define @t477 () (not (= @t86 @t86))) % 0.51/0.75 (define @t478 () (or @t477 @t476 @t475)) % 0.51/0.75 (define @t479 () (@list @t474)) % 0.51/0.75 (define @t480 () (not (tptp.r3 @t86 @t474 @t87))) % 0.51/0.75 (define @t481 () (= @t86 @t87)) % 0.51/0.75 (define @t482 () (not @t481)) % 0.51/0.75 (define @t483 () (or @t482 @t482 @t476 @t480)) % 0.51/0.75 (define @t484 () (or @t482 @t476 @t480)) % 0.51/0.75 (define @t485 () (forall @t96 @t484)) % 0.51/0.75 (define @t486 () (forall @t479 @t485)) % 0.51/0.75 (define @t487 () (forall (@list @t474 @t87) @t484)) % 0.51/0.75 (define @t488 () (@list @t87 @t474)) % 0.51/0.75 (define @t489 () (or @t476 @t480)) % 0.51/0.75 (define @t490 () (or @t489 @t482)) % 0.51/0.75 (define @t491 () (forall @t488 @t490)) % 0.51/0.75 (define @t492 () (forall @t479 @t490)) % 0.51/0.75 (define @t493 () (forall @t479 @t489)) % 0.51/0.75 (define @t494 () (or @t493 @t482)) % 0.51/0.75 (define @t495 () (forall @t93 (or (not @t91) (not @t90)))) % 0.51/0.75 (define @t496 () (not @t495)) % 0.51/0.75 (define @t497 () (and @t496 @t481)) % 0.51/0.75 (define @t498 () (forall @t96 (not @t497))) % 0.51/0.75 (define @t499 () (not @t498)) % 0.51/0.75 (define @t500 () (forall @t93 (not @t92))) % 0.51/0.75 (define @t501 () (not @t500)) % 0.51/0.75 (define @t502 () (@quantifiers_skolemize (forall @t479 (or @t476 (not (tptp.r3 @t291 @t474 @t291)))) 0)) % 0.51/0.75 (define @t503 () (tptp.r3 @t291 @t502 @t291)) % 0.51/0.75 (define @t504 () (not @t503)) % 0.51/0.75 (define @t505 () (tptp.r1 @t502)) % 0.51/0.75 (define @t506 () (not @t505)) % 0.51/0.75 (define @t507 () (or @t506 @t504)) % 0.51/0.75 (define @t508 () (@list @t507)) % 0.51/0.75 (define @t509 () (and @t282 @t277)) % 0.51/0.75 (define @t510 () (forall @t12 (not @t509))) % 0.51/0.75 (define @t511 () (not @t510)) % 0.51/0.75 (define @t512 () (= @t1 @t1)) % 0.51/0.75 (define @t513 () (and @t277 @t512)) % 0.51/0.75 (define @t514 () (not @t512)) % 0.51/0.75 (define @t515 () (or @t514 @t513)) % 0.51/0.75 (define @t516 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 0.51/0.75 (define @t517 () (= @t1 @t516)) % 0.51/0.75 (define @t518 () (and (tptp.r1 @t516) @t517)) % 0.51/0.75 (define @t519 () (not @t517)) % 0.51/0.75 (define @t520 () (@list @t516)) % 0.51/0.75 (define @t521 () (or @t519 @t519 @t518)) % 0.51/0.75 (define @t522 () (or @t519 @t518)) % 0.51/0.75 (define @t523 () (forall @t520 @t522)) % 0.51/0.75 (define @t524 () (= @t1 @t2)) % 0.51/0.75 (define @t525 () (and @t4 @t524)) % 0.51/0.75 (define @t526 () (not @t524)) % 0.51/0.75 (define @t527 () (or @t526 @t525)) % 0.51/0.75 (define @t528 () (forall @t10 @t527)) % 0.51/0.75 (define @t529 () (@list @t2)) % 0.51/0.75 (define @t530 () (or @t7 @t525)) % 0.51/0.75 (define @t531 () (forall @t10 @t530)) % 0.51/0.75 (define @t532 () (and @t531 @t528)) % 0.51/0.75 (define @t533 () (tptp.r1 @t284)) % 0.51/0.75 (define @t534 () (not @t533)) % 0.51/0.75 (define @t535 () (forall @t281 (or @t280 (and @t279 (= @t278 @t284))))) % 0.51/0.75 (define @t536 () (not @t535)) % 0.51/0.75 (define @t537 () (or @t536 @t534)) % 0.51/0.75 (define @t538 () (not @t537)) % 0.51/0.75 (define @t539 () (not @t283)) % 0.51/0.75 (define @t540 () (and @t279 (= @t284 @t278))) % 0.51/0.75 (define @t541 () (or @t280 @t540)) % 0.51/0.75 (define @t542 () (forall @t281 @t541)) % 0.51/0.75 (define @t543 () (not @t542)) % 0.51/0.75 (define @t544 () (or @t543 @t534)) % 0.51/0.75 (define @t545 () (not @t544)) % 0.51/0.75 (define @t546 () (@list @t537)) % 0.51/0.75 (define @t547 () (and @t505 (= @t502 @t284))) % 0.51/0.75 (define @t548 () (or @t506 @t547)) % 0.51/0.75 (define @t549 () (= @t284 @t502)) % 0.51/0.75 (define @t550 () (and @t505 @t549)) % 0.51/0.75 (define @t551 () (or @t506 @t550)) % 0.51/0.75 (define @t552 () (tptp.r3 @t291 @t284 @t291)) % 0.51/0.75 (define @t553 () (= @t291 @t456)) % 0.51/0.75 (define @t554 () (and @t552 @t553)) % 0.51/0.75 (define @t555 () (not @t552)) % 0.51/0.75 (define @t556 () (or @t555 @t554)) % 0.51/0.75 (define @t557 () (tptp.r2 @t431 @t295)) % 0.51/0.75 (define @t558 () (not @t557)) % 0.51/0.75 (define @t559 () (or @t303 @t558 @t433 @t534 @t404)) % 0.51/0.75 (define @t560 () (not @t559)) % 0.51/0.75 (assume @p1 @t13) % 0.51/0.75 (assume @p2 @t28) % 0.51/0.75 (assume @p3 @t44) % 0.51/0.75 (assume @p4 (forall (@list @t49 @t48) (exists (@list @t45) (forall (@list @t46) (or (and (not @t50) (not @t47)) (and @t50 @t47)))))) % 0.51/0.75 (assume @p5 @t74) % 0.51/0.75 (assume @p6 (forall (@list @t77 @t76) (exists (@list @t78) (and (exists (@list @t80) (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))))))) % 0.51/0.75 (assume @p7 (forall (@list @t83 @t82) (or (forall (@list @t84) (or (forall (@list @t85) (or (not (tptp.r2 @t83 @t85)) (not (= @t85 @t84)))) (not (tptp.r2 @t82 @t84)))) (= @t83 @t82)))) % 0.51/0.75 (assume @p8 @t98) % 0.51/0.75 (assume @p9 (forall (@list @t102) (exists (@list @t100) (and (exists (@list @t101) (and (tptp.r1 @t101) (tptp.r4 @t102 @t101 @t100))) (exists (@list @t99) (and (tptp.r1 @t99) (= @t100 @t99))))))) % 0.51/0.75 (assume @p10 (forall (@list @t104) (or (exists (@list @t106) (and (tptp.r1 @t106) (= @t104 @t106))) (exists (@list @t105 @t103) (and (tptp.r2 @t105 @t103) (= @t104 @t103)))))) % 0.51/0.75 (assume @p11 (forall (@list @t108 @t107) (or (forall (@list @t109) (or (not (tptp.r1 @t109)) (not (= @t109 @t107)))) (not (tptp.r2 @t108 @t107))))) % 0.51/0.75 (assume @p12 @t126) % 0.51/0.75 (assume @p13 true) % 0.51/0.75 (step @p14 :rule bool-double-not-elim :args (@t137)) % 0.51/0.75 (step @p15 :rule aci_norm :args ((= @t139 @t135))) % 0.51/0.75 (step @p16 :rule cong :premises (@p15) :args (@t140)) % 0.51/0.75 (step @p17 :rule quant-merge-prenex :args ((= (forall @t124 @t142) @t140))) % 0.51/0.75 (step @p18 :rule alpha_equiv :args (@t143 (@list @t131 @t127 @t128) @t147)) % 0.51/0.75 (step @p19 :rule refl :args (@t134)) % 0.51/0.75 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t148)) % 0.51/0.75 (step @p21 :rule quant-miniscope-or :args ((= @t142 @t148))) % 0.51/0.75 (step @p22 :rule trans :premises (@p21 @p20)) % 0.51/0.75 (step @p23 :rule symm :premises (@p22)) % 0.51/0.75 (step @p24 :rule cong :premises (@p23) :args ((forall @t124 (or @t134 @t155)))) % 0.51/0.75 (step @p25 :rule trans :premises (@p24 @p17)) % 0.51/0.75 (step @p26 :rule trans :premises (@p25 @p16)) % 0.51/0.75 (step @p27 :rule bool-double-not-elim :args (@t155)) % 0.51/0.75 (step @p28 :rule nary_cong :premises (@p19 @p27) :args ((or @t134 (not @t156)))) % 0.51/0.75 (step @p29 :rule bool-and-de-morgan :args (@t122 @t156 true)) % 0.51/0.75 (step @p30 :rule trans :premises (@p29 @p28)) % 0.51/0.75 (step @p31 :rule cong :premises (@p30) :args (@t158)) % 0.51/0.75 (step @p32 :rule trans :premises (@p31 @p26)) % 0.51/0.75 (step @p33 :rule cong :premises (@p32) :args (@t159)) % 0.51/0.75 (step @p34 :rule exists-elim :args ((= (exists @t124 @t157) @t159))) % 0.51/0.75 (step @p35 :rule trans :premises (@p34 @p33)) % 0.51/0.75 (step @p36 :rule aci_norm :args ((= (or false @t152 @t151 @t150 @t149) @t153))) % 0.51/0.75 (step @p37 :rule refl :args (@t149)) % 0.51/0.75 (step @p38 :rule refl :args (@t150)) % 0.51/0.75 (step @p39 :rule refl :args (@t151)) % 0.51/0.75 (step @p40 :rule refl :args (@t152)) % 0.51/0.75 (step @p41 :rule evaluate :args ((not true))) % 0.51/0.75 (step @p42 :rule eq-refl :args (@t80)) % 0.51/0.75 (step @p43 :rule cong :premises (@p42) :args (@t160)) % 0.51/0.75 (step @p44 :rule trans :premises (@p43 @p41)) % 0.51/0.75 (step @p45 :rule nary_cong :premises (@p44 @p40 @p39 @p38 @p37) :args (@t161)) % 0.51/0.75 (step @p46 :rule trans :premises (@p45 @p36)) % 0.51/0.75 (step @p47 :rule cong :premises (@p46) :args ((forall @t154 @t161))) % 0.51/0.75 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t72 @t165) @t161))) % 0.51/0.75 (step @p49 :rule aci_norm :args ((= @t166 @t165))) % 0.51/0.75 (step @p50 :rule cong :premises (@p49) :args (@t167)) % 0.51/0.75 (step @p51 :rule trans :premises (@p50 @p48)) % 0.51/0.75 (step @p52 :rule cong :premises (@p51) :args (@t168)) % 0.51/0.75 (step @p53 :rule quant-merge-prenex :args ((= @t168 @t169))) % 0.51/0.75 (step @p54 :rule symm :premises (@p53)) % 0.51/0.75 (step @p55 :rule quant_var_reordering :args ((= (forall @t170 @t166) @t169))) % 0.51/0.75 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.51/0.75 (step @p57 :rule trans :premises (@p56 @p47)) % 0.51/0.75 (step @p58 :rule aci_norm :args ((= @t172 @t166))) % 0.51/0.75 (step @p59 :rule cong :premises (@p58) :args (@t173)) % 0.51/0.75 (step @p60 :rule trans :premises (@p59 @p57)) % 0.51/0.75 (step @p61 :rule quant-merge-prenex :args ((= (forall @t72 @t174) @t173))) % 0.51/0.75 (step @p62 :rule alpha_equiv :args (@t175 @t147 (@list @t60 @t177 @t176))) % 0.51/0.75 (step @p63 :rule refl :args (@t164)) % 0.51/0.75 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t178)) % 0.51/0.75 (step @p65 :rule quant-miniscope-or :args ((= @t174 @t178))) % 0.51/0.75 (step @p66 :rule trans :premises (@p65 @p64)) % 0.51/0.75 (step @p67 :rule symm :premises (@p66)) % 0.51/0.75 (step @p68 :rule cong :premises (@p67) :args ((forall @t72 (or @t164 @t185)))) % 0.51/0.75 (step @p69 :rule trans :premises (@p68 @p61)) % 0.51/0.75 (step @p70 :rule trans :premises (@p69 @p60)) % 0.51/0.75 (step @p71 :rule bool-double-not-elim :args (@t185)) % 0.51/0.75 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((or @t164 (not @t186)))) % 0.51/0.75 (step @p73 :rule bool-and-de-morgan :args (@t163 @t186 true)) % 0.51/0.75 (step @p74 :rule trans :premises (@p73 @p72)) % 0.51/0.75 (step @p75 :rule cong :premises (@p74) :args (@t188)) % 0.51/0.75 (step @p76 :rule trans :premises (@p75 @p70)) % 0.51/0.75 (step @p77 :rule cong :premises (@p76) :args (@t189)) % 0.51/0.75 (step @p78 :rule exists-elim :args ((= (exists @t72 @t187) @t189))) % 0.51/0.75 (step @p79 :rule trans :premises (@p78 @p77)) % 0.51/0.75 (step @p80 :rule aci_norm :args ((= @t191 @t183))) % 0.51/0.75 (step @p81 :rule cong :premises (@p80) :args (@t192)) % 0.51/0.75 (step @p82 :rule quant-merge-prenex :args ((= (forall @t69 @t194) @t192))) % 0.51/0.75 (step @p83 :rule alpha_equiv :args (@t195 (@list @t177 @t176) (@list @t75 @t196))) % 0.51/0.75 (step @p84 :rule refl :args (@t182)) % 0.51/0.75 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t197)) % 0.51/0.75 (step @p86 :rule quant-miniscope-or :args ((= @t194 @t197))) % 0.51/0.75 (step @p87 :rule trans :premises (@p86 @p85)) % 0.51/0.75 (step @p88 :rule symm :premises (@p87)) % 0.51/0.75 (step @p89 :rule cong :premises (@p88) :args ((forall @t69 (or @t182 @t203)))) % 0.51/0.75 (step @p90 :rule trans :premises (@p89 @p82)) % 0.51/0.75 (step @p91 :rule trans :premises (@p90 @p81)) % 0.51/0.75 (step @p92 :rule bool-double-not-elim :args (@t203)) % 0.51/0.75 (step @p93 :rule nary_cong :premises (@p84 @p92) :args ((or @t182 (not @t204)))) % 0.51/0.75 (step @p94 :rule bool-and-de-morgan :args (@t117 @t204 true)) % 0.51/0.75 (step @p95 :rule trans :premises (@p94 @p93)) % 0.51/0.75 (step @p96 :rule cong :premises (@p95) :args (@t206)) % 0.51/0.75 (step @p97 :rule trans :premises (@p96 @p91)) % 0.51/0.75 (step @p98 :rule cong :premises (@p97) :args (@t207)) % 0.51/0.75 (step @p99 :rule exists-elim :args ((= (exists @t69 @t205) @t207))) % 0.51/0.75 (step @p100 :rule trans :premises (@p99 @p98)) % 0.51/0.75 (step @p101 :rule aci_norm :args ((= @t209 @t201))) % 0.51/0.75 (step @p102 :rule cong :premises (@p101) :args (@t210)) % 0.51/0.75 (step @p103 :rule quant-merge-prenex :args ((= (forall @t79 @t212) @t210))) % 0.51/0.75 (step @p104 :rule alpha_equiv :args (@t213 (@list @t196) @t214)) % 0.51/0.75 (step @p105 :rule refl :args (@t200)) % 0.51/0.75 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t215)) % 0.51/0.75 (step @p107 :rule quant-miniscope-or :args ((= @t212 @t215))) % 0.51/0.75 (step @p108 :rule trans :premises (@p107 @p106)) % 0.51/0.75 (step @p109 :rule symm :premises (@p108)) % 0.51/0.75 (step @p110 :rule cong :premises (@p109) :args ((forall @t79 (or @t200 @t216)))) % 0.51/0.75 (step @p111 :rule trans :premises (@p110 @p103)) % 0.51/0.75 (step @p112 :rule trans :premises (@p111 @p102)) % 0.51/0.75 (step @p113 :rule bool-double-not-elim :args (@t216)) % 0.51/0.75 (step @p114 :rule nary_cong :premises (@p105 @p113) :args ((or @t200 (not @t217)))) % 0.51/0.75 (step @p115 :rule bool-and-de-morgan :args (@t114 @t217 true)) % 0.51/0.75 (step @p116 :rule trans :premises (@p115 @p114)) % 0.51/0.75 (step @p117 :rule cong :premises (@p116) :args (@t219)) % 0.51/0.75 (step @p118 :rule trans :premises (@p117 @p112)) % 0.51/0.75 (step @p119 :rule cong :premises (@p118) :args (@t220)) % 0.51/0.75 (step @p120 :rule exists-elim :args ((= (exists @t79 @t218) @t220))) % 0.51/0.75 (step @p121 :rule trans :premises (@p120 @p119)) % 0.51/0.75 (step @p122 :rule bool-and-de-morgan :args (@t111 @t110 true)) % 0.51/0.75 (step @p123 :rule cong :premises (@p122) :args (@t221)) % 0.51/0.75 (step @p124 :rule cong :premises (@p123) :args (@t222)) % 0.51/0.75 (step @p125 :rule exists-elim :args ((= @t113 @t222))) % 0.51/0.75 (step @p126 :rule trans :premises (@p125 @p124)) % 0.51/0.75 (step @p127 :rule refl :args (@t114)) % 0.51/0.75 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t115)) % 0.51/0.75 (step @p129 :rule cong :premises (@p128) :args (@t116)) % 0.51/0.75 (step @p130 :rule trans :premises (@p129 @p121)) % 0.51/0.75 (step @p131 :rule refl :args (@t117)) % 0.51/0.75 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t118)) % 0.51/0.75 (step @p133 :rule cong :premises (@p132) :args (@t119)) % 0.51/0.75 (step @p134 :rule trans :premises (@p133 @p100)) % 0.51/0.75 (step @p135 :rule eq-symm :args (@t80 @t55)) % 0.51/0.75 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t120)) % 0.51/0.75 (step @p137 :rule cong :premises (@p136) :args (@t121)) % 0.51/0.75 (step @p138 :rule trans :premises (@p137 @p79)) % 0.51/0.75 (step @p139 :rule refl :args (@t122)) % 0.51/0.75 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t123)) % 0.51/0.75 (step @p141 :rule cong :premises (@p140) :args (@t125)) % 0.51/0.75 (step @p142 :rule trans :premises (@p141 @p35)) % 0.51/0.75 (step @p143 :rule cong :premises (@p142) :args (@t126)) % 0.51/0.75 (step @p144 :rule trans :premises (@p143 @p14)) % 0.51/0.75 (step @p145 :rule eq_resolve :premises (@p12 @p144)) % 0.51/0.75 (step @p146 :rule aci_norm :args ((= @t231 (or @t228 @t227 @t225 @t224)))) % 0.51/0.75 (step @p147 :rule cong :premises (@p146) :args (@t233)) % 0.51/0.75 (step @p148 :rule quant-merge-prenex :args ((= (forall @t72 @t234) @t233))) % 0.51/0.75 (step @p149 :rule alpha_equiv :args (@t235 (@list @t223) @t214)) % 0.51/0.75 (step @p150 :rule alpha_equiv :args (@t236 (@list @t226) @t238)) % 0.51/0.75 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t239)) % 0.51/0.75 (step @p152 :rule quant-miniscope-or :args ((= @t234 @t239))) % 0.51/0.75 (step @p153 :rule trans :premises (@p152 @p151)) % 0.51/0.75 (step @p154 :rule symm :premises (@p153)) % 0.51/0.75 (step @p155 :rule cong :premises (@p154) :args ((forall @t72 (or @t245 @t240)))) % 0.51/0.75 (step @p156 :rule trans :premises (@p155 @p148)) % 0.51/0.75 (step @p157 :rule trans :premises (@p156 @p147)) % 0.51/0.75 (step @p158 :rule bool-double-not-elim :args (@t240)) % 0.51/0.75 (step @p159 :rule bool-double-not-elim :args (@t245)) % 0.51/0.75 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t247) (not @t246)))) % 0.51/0.75 (step @p161 :rule bool-and-de-morgan :args (@t247 @t246 true)) % 0.51/0.75 (step @p162 :rule trans :premises (@p161 @p160)) % 0.51/0.75 (step @p163 :rule cong :premises (@p162) :args (@t249)) % 0.51/0.75 (step @p164 :rule trans :premises (@p163 @p157)) % 0.51/0.75 (step @p165 :rule cong :premises (@p164) :args (@t250)) % 0.51/0.75 (step @p166 :rule exists-elim :args ((= (exists @t72 @t248) @t250))) % 0.51/0.75 (step @p167 :rule trans :premises (@p166 @p165)) % 0.51/0.75 (step @p168 :rule bool-and-de-morgan :args (@t56 @t54 true)) % 0.51/0.75 (step @p169 :rule cong :premises (@p168) :args (@t251)) % 0.51/0.75 (step @p170 :rule cong :premises (@p169) :args (@t252)) % 0.51/0.75 (step @p171 :rule exists-elim :args ((= @t59 @t252))) % 0.51/0.75 (step @p172 :rule trans :premises (@p171 @p170)) % 0.51/0.75 (step @p173 :rule aci_norm :args ((= (or false @t242 @t241) @t243))) % 0.51/0.75 (step @p174 :rule refl :args (@t241)) % 0.51/0.75 (step @p175 :rule refl :args (@t242)) % 0.51/0.75 (step @p176 :rule eq-refl :args (@t55)) % 0.51/0.75 (step @p177 :rule cong :premises (@p176) :args (@t253)) % 0.51/0.75 (step @p178 :rule trans :premises (@p177 @p41)) % 0.51/0.75 (step @p179 :rule nary_cong :premises (@p178 @p175 @p174) :args (@t254)) % 0.51/0.75 (step @p180 :rule trans :premises (@p179 @p173)) % 0.51/0.75 (step @p181 :rule cong :premises (@p180) :args ((forall @t244 @t254))) % 0.51/0.75 (step @p182 :rule quant-var-elim-eq :args ((= (forall @t69 (or (not @t61) @t257 @t242 @t255)) @t254))) % 0.51/0.75 (step @p183 :rule refl :args (@t255)) % 0.51/0.75 (step @p184 :rule refl :args (@t242)) % 0.51/0.75 (step @p185 :rule refl :args (@t257)) % 0.51/0.75 (step @p186 :rule eq-symm :args (@t55 @t60)) % 0.51/0.75 (step @p187 :rule cong :premises (@p186) :args (@t257)) % 0.51/0.75 (step @p188 :rule nary_cong :premises (@p187 @p185 @p184 @p183) :args (@t258)) % 0.51/0.75 (step @p189 :rule aci_norm :args ((= @t259 @t258))) % 0.51/0.75 (step @p190 :rule trans :premises (@p189 @p188)) % 0.51/0.75 (step @p191 :rule cong :premises (@p190) :args (@t260)) % 0.51/0.75 (step @p192 :rule trans :premises (@p191 @p182)) % 0.51/0.75 (step @p193 :rule cong :premises (@p192) :args (@t261)) % 0.51/0.75 (step @p194 :rule quant-merge-prenex :args ((= @t261 @t262))) % 0.51/0.75 (step @p195 :rule symm :premises (@p194)) % 0.51/0.75 (step @p196 :rule quant_var_reordering :args ((= (forall @t263 @t259) @t262))) % 0.51/0.75 (step @p197 :rule trans :premises (@p196 @p195 @p193)) % 0.51/0.75 (step @p198 :rule trans :premises (@p197 @p181)) % 0.51/0.75 (step @p199 :rule aci_norm :args ((= @t265 @t259))) % 0.51/0.75 (step @p200 :rule cong :premises (@p199) :args (@t266)) % 0.51/0.75 (step @p201 :rule trans :premises (@p200 @p198)) % 0.51/0.75 (step @p202 :rule quant-merge-prenex :args ((= (forall @t69 @t267) @t266))) % 0.51/0.75 (step @p203 :rule alpha_equiv :args (@t268 @t238 (@list @t62))) % 0.51/0.75 (step @p204 :rule nary_cong :premises (@p203 @p185) :args (@t269)) % 0.51/0.75 (step @p205 :rule quant-miniscope-or :args ((= @t267 @t269))) % 0.51/0.75 (step @p206 :rule trans :premises (@p205 @p204)) % 0.51/0.75 (step @p207 :rule symm :premises (@p206)) % 0.51/0.75 (step @p208 :rule cong :premises (@p207) :args ((forall @t69 (or @t270 @t257)))) % 0.51/0.75 (step @p209 :rule trans :premises (@p208 @p202)) % 0.51/0.75 (step @p210 :rule trans :premises (@p209 @p201)) % 0.51/0.75 (step @p211 :rule bool-double-not-elim :args (@t270)) % 0.51/0.75 (step @p212 :rule nary_cong :premises (@p211 @p185) :args ((or (not @t271) @t257))) % 0.51/0.75 (step @p213 :rule bool-and-de-morgan :args (@t271 @t256 true)) % 0.51/0.75 (step @p214 :rule trans :premises (@p213 @p212)) % 0.51/0.75 (step @p215 :rule cong :premises (@p214) :args (@t273)) % 0.51/0.75 (step @p216 :rule trans :premises (@p215 @p210)) % 0.51/0.75 (step @p217 :rule cong :premises (@p216) :args (@t274)) % 0.51/0.75 (step @p218 :rule exists-elim :args ((= (exists @t69 @t272) @t274))) % 0.51/0.75 (step @p219 :rule trans :premises (@p218 @p217)) % 0.51/0.75 (step @p220 :rule eq-symm :args (@t60 @t55)) % 0.51/0.75 (step @p221 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 0.51/0.75 (step @p222 :rule cong :premises (@p221) :args (@t275)) % 0.51/0.75 (step @p223 :rule cong :premises (@p222) :args (@t276)) % 0.51/0.75 (step @p224 :rule exists-elim :args ((= @t67 @t276))) % 0.51/0.75 (step @p225 :rule trans :premises (@p224 @p223)) % 0.51/0.75 (step @p226 :rule nary_cong :premises (@p225 @p220) :args (@t68)) % 0.51/0.75 (step @p227 :rule cong :premises (@p226) :args (@t70)) % 0.51/0.75 (step @p228 :rule trans :premises (@p227 @p219)) % 0.51/0.75 (step @p229 :rule nary_cong :premises (@p228 @p172) :args (@t71)) % 0.51/0.75 (step @p230 :rule cong :premises (@p229) :args (@t73)) % 0.51/0.75 (step @p231 :rule trans :premises (@p230 @p167)) % 0.51/0.75 (step @p232 :rule cong :premises (@p231) :args (@t74)) % 0.51/0.75 (step @p233 :rule eq_resolve :premises (@p5 @p232)) % 0.51/0.75 (step @p234 :rule instantiate :premises (@p233) :args (@t292)) % 0.51/0.75 (step @p235 :rule skolemize :premises (@p234)) % 0.51/0.75 (step @p236 :rule bool-double-not-elim :args (@t297)) % 0.51/0.75 (step @p237 :rule refl :args (@t304)) % 0.51/0.75 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t304 (not @t300)))) % 0.51/0.75 (step @p239 :rule cnf_or_neg :args (@t304 2)) % 0.51/0.75 (step @p240 :rule eq_resolve :premises 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(@p693) :args ((forall @t10 (or (and @t7 @t526) @t525)))) % 0.51/0.75 (step @p695 :rule trans :premises (@p694 @p692)) % 0.51/0.75 (step @p696 :rule eq-symm :args (@t2 @t1)) % 0.51/0.75 (step @p697 :rule refl :args (@t4)) % 0.51/0.75 (step @p698 :rule nary_cong :premises (@p697 @p696) :args (@t5)) % 0.51/0.75 (step @p699 :rule cong :premises (@p696) :args (@t6)) % 0.51/0.75 (step @p700 :rule refl :args (@t7)) % 0.51/0.75 (step @p701 :rule nary_cong :premises (@p700 @p699) :args (@t8)) % 0.51/0.75 (step @p702 :rule nary_cong :premises (@p701 @p698) :args (@t9)) % 0.51/0.75 (step @p703 :rule cong :premises (@p702) :args (@t11)) % 0.51/0.75 (step @p704 :rule trans :premises (@p703 @p695)) % 0.51/0.75 (step @p705 :rule cong :premises (@p704) :args (@t13)) % 0.51/0.75 (step @p706 :rule trans :premises (@p705 @p663)) % 0.51/0.75 (step @p707 :rule eq_resolve :premises (@p1 @p706)) % 0.51/0.75 (step @p708 :rule refl :args (@t538)) % 0.51/0.75 (step @p709 :rule bool-double-not-elim :args (@t283)) % 0.51/0.75 (step @p710 :rule nary_cong :premises (@p709 @p708) :args ((or (not @t539) @t538))) % 0.51/0.75 (step @p711 :rule refl :args (@t534)) % 0.51/0.75 (step @p712 :rule eq-symm :args (@t284 @t278)) % 0.51/0.75 (step @p713 :rule refl :args (@t279)) % 0.51/0.75 (step @p714 :rule nary_cong :premises (@p713 @p712) :args (@t540)) % 0.51/0.75 (step @p715 :rule refl :args (@t280)) % 0.51/0.75 (step @p716 :rule nary_cong :premises (@p715 @p714) :args (@t541)) % 0.51/0.75 (step @p717 :rule cong :premises (@p716) :args (@t542)) % 0.51/0.75 (step @p718 :rule cong :premises (@p717) :args (@t543)) % 0.51/0.75 (step @p719 :rule nary_cong :premises (@p718 @p711) :args (@t544)) % 0.51/0.75 (step @p720 :rule cong :premises (@p719) :args (@t545)) % 0.51/0.75 (step @p721 :rule refl :args (@t539)) % 0.51/0.75 (step @p722 :rule cong :premises (@p721 @p720) :args ((=> @t539 @t545))) % 0.51/0.75 (assume-push @p836 @t539) % 0.51/0.75 (step @p724 :rule skolemize :premises (@p707)) % 0.51/0.75 (step-pop @p837 :rule scope :premises (@p724)) % 0.51/0.75 (step @p725 :rule process_scope :premises (@p837) :args (@t545)) % 0.51/0.75 (step @p727 :rule eq_resolve :premises (@p725 @p722)) % 0.51/0.75 (step @p728 :rule implies_elim :premises (@p727)) % 0.51/0.75 (step @p729 :rule eq_resolve :premises (@p728 @p710)) % 0.51/0.75 (step @p730 :rule chain_m_resolution :premises (@p729 @p707) :args (@t538 @t305 (@list @t283))) % 0.51/0.75 (step @p731 :rule bool-double-not-elim :args (@t535)) % 0.51/0.75 (step @p732 :rule refl :args (@t537)) % 0.51/0.75 (step @p733 :rule nary_cong :premises (@p732 @p731) :args ((or @t537 (not @t536)))) % 0.51/0.75 (step @p734 :rule cnf_or_neg :args (@t537 0)) % 0.51/0.75 (step @p735 :rule eq_resolve :premises (@p734 @p733)) % 0.51/0.75 (step @p736 :rule reordering :premises (@p735) :args ((or @t535 @t537))) % 0.51/0.75 (step @p737 :rule chain_m_resolution :premises (@p736 @p730) :args (@t535 @t305 @t546)) % 0.51/0.75 (step @p738 :rule eq-symm :args (@t502 @t284)) % 0.51/0.75 (step @p739 :rule refl :args (@t505)) % 0.51/0.75 (step @p740 :rule nary_cong :premises (@p739 @p738) :args (@t547)) % 0.51/0.75 (step @p741 :rule refl :args (@t506)) % 0.51/0.75 (step @p742 :rule nary_cong :premises (@p741 @p740) :args (@t548)) % 0.51/0.75 (step @p743 :rule refl :args (@t535)) % 0.51/0.75 (step @p744 :rule cong :premises (@p743 @p742) :args ((=> @t535 @t548))) % 0.51/0.75 (assume-push @p838 @t535) % 0.51/0.75 (step @p746 :rule instantiate :premises (@p737) :args ((@list @t502))) % 0.51/0.75 (step-pop @p839 :rule scope :premises (@p746)) % 0.51/0.75 (step @p747 :rule process_scope :premises (@p839) :args (@t548)) % 0.51/0.75 (step @p749 :rule eq_resolve :premises (@p747 @p744)) % 0.51/0.75 (step @p750 :rule implies_elim :premises (@p749)) % 0.51/0.75 (step @p751 :rule chain_m_resolution :premises (@p750 @p737) :args (@t551 @t358 (@list @t535))) % 0.51/0.75 (step @p752 :rule bool-double-not-elim :args (@t505)) % 0.51/0.75 (step @p753 :rule nary_cong :premises (@p652 @p752) :args ((or @t507 (not @t506)))) % 0.51/0.75 (step @p754 :rule cnf_or_neg :args (@t507 0)) % 0.51/0.75 (step @p755 :rule eq_resolve :premises (@p754 @p753)) % 0.51/0.75 (step @p756 :rule reordering :premises (@p755) :args ((or @t505 @t507))) % 0.51/0.75 (step @p757 :rule chain_m_resolution :premises (@p756 @p650) :args (@t505 @t305 @t508)) % 0.51/0.75 (step @p758 :rule cnf_or_pos :args (@t551)) % 0.51/0.75 (step @p759 :rule reordering :premises (@p758) :args ((or @t506 @t550 (not @t551)))) % 0.51/0.75 (step @p760 :rule chain_m_resolution :premises (@p759 @p757 @p751) :args (@t550 @t359 (@list @t505 @t551))) % 0.51/0.75 (step @p761 :rule cnf_and_pos :args (@t550 1)) % 0.51/0.75 (step @p762 :rule reordering :premises (@p761) :args ((or @t549 (not @t550)))) % 0.51/0.75 (step @p763 :rule chain_m_resolution :premises (@p762 @p760) :args (@t549 @t358 (@list @t550))) % 0.51/0.75 (step @p764 :rule cong :premises (@p471 @p763 @p471) :args (@t552)) % 0.51/0.75 (step @p765 :rule trans :premises (@p764 @p658)) % 0.51/0.75 (step @p766 :rule true_elim :premises (@p765)) % 0.51/0.75 (step @p767 :rule cnf_or_pos :args (@t556)) % 0.51/0.75 (step @p768 :rule reordering :premises (@p767) :args ((or @t555 @t554 (not @t556)))) % 0.51/0.75 (step @p769 :rule chain_m_resolution :premises (@p768 @p766 @p590) :args (@t554 @t359 (@list @t552 @t556))) % 0.51/0.75 (step @p770 :rule cnf_and_pos :args (@t554 1)) % 0.51/0.75 (step @p771 :rule reordering :premises (@p770) :args ((or @t553 (not @t554)))) % 0.51/0.75 (step @p772 :rule chain_m_resolution :premises (@p771 @p769) :args (@t553 @t358 (@list @t554))) % 0.51/0.75 (step @p773 :rule trans :premises (@p772 @p589)) % 0.51/0.75 (step @p774 :rule cong :premises (@p773 @p363) :args (@t446)) % 0.51/0.75 (step @p775 :rule trans :premises (@p774 @p532)) % 0.51/0.75 (step @p776 :rule true_elim :premises (@p775)) % 0.51/0.75 (step @p777 :rule cnf_or_pos :args (@t452)) % 0.51/0.75 (step @p778 :rule reordering :premises (@p777) :args ((or @t448 @t451 (not @t452)))) % 0.51/0.75 (step @p779 :rule chain_m_resolution :premises (@p778 @p776 @p525) :args (@t451 @t359 (@list @t446 @t452))) % 0.51/0.75 (step @p780 :rule cnf_and_pos :args (@t451 1)) % 0.51/0.75 (step @p781 :rule reordering :premises (@p780) :args ((or @t450 (not @t451)))) % 0.51/0.75 (step @p782 :rule chain_m_resolution :premises (@p781 @p779) :args (@t450 @t358 (@list @t451))) % 0.51/0.75 (step @p783 :rule trans :premises (@p782 @p480 @p351)) % 0.51/0.75 (step @p784 :rule cong :premises (@p783 @p244) :args (@t557)) % 0.51/0.75 (step @p785 :rule trans :premises (@p784 @p243)) % 0.51/0.75 (step @p786 :rule true_elim :premises (@p785)) % 0.51/0.75 (step @p787 :rule bool-double-not-elim :args (@t302)) % 0.51/0.75 (step @p788 :rule nary_cong :premises (@p237 @p787) :args ((or @t304 (not @t303)))) % 0.51/0.75 (step @p789 :rule cnf_or_neg :args (@t304 1)) % 0.51/0.75 (step @p790 :rule eq_resolve :premises (@p789 @p788)) % 0.51/0.75 (step @p791 :rule reordering :premises (@p790) :args ((or @t302 @t304))) % 0.51/0.75 (step @p792 :rule chain_m_resolution :premises (@p791 @p235) :args (@t302 @t305 @t306)) % 0.51/0.75 (step @p793 :rule bool-double-not-elim :args (@t432)) % 0.51/0.75 (step @p794 :rule nary_cong :premises (@p506 @p793) :args ((or @t436 (not @t433)))) % 0.51/0.75 (step @p795 :rule cnf_or_neg :args (@t436 1)) % 0.51/0.75 (step @p796 :rule eq_resolve :premises (@p795 @p794)) % 0.51/0.75 (step @p797 :rule reordering :premises (@p796) :args ((or @t432 @t436))) % 0.51/0.75 (step @p798 :rule chain_m_resolution :premises (@p797 @p504) :args (@t432 @t305 @t445)) % 0.51/0.75 (step @p799 :rule bool-double-not-elim :args (@t403)) % 0.51/0.75 (step @p800 :rule nary_cong :premises (@p439 @p799) :args ((or @t407 (not @t404)))) % 0.51/0.75 (step @p801 :rule cnf_or_neg :args (@t407 1)) % 0.51/0.75 (step @p802 :rule eq_resolve :premises (@p801 @p800)) % 0.51/0.75 (step @p803 :rule reordering :premises (@p802) :args ((or @t403 @t407))) % 0.51/0.75 (step @p804 :rule chain_m_resolution :premises (@p803 @p437) :args (@t403 @t305 @t416)) % 0.51/0.75 (step @p805 :rule bool-double-not-elim :args (@t533)) % 0.51/0.75 (step @p806 :rule nary_cong :premises (@p732 @p805) :args ((or @t537 (not @t534)))) % 0.51/0.75 (step @p807 :rule cnf_or_neg :args (@t537 1)) % 0.51/0.75 (step @p808 :rule eq_resolve :premises (@p807 @p806)) % 0.51/0.75 (step @p809 :rule reordering :premises (@p808) :args ((or @t533 @t537))) % 0.51/0.75 (step @p810 :rule chain_m_resolution :premises (@p809 @p730) :args (@t533 @t305 @t546)) % 0.51/0.75 (step @p811 :rule cnf_or_pos :args (@t559)) % 0.51/0.75 (step @p812 :rule reordering :premises (@p811) :args ((or @t534 @t404 @t433 @t303 @t558 @t560))) % 0.51/0.75 (step @p813 :rule chain_m_resolution :premises (@p812 @p810 @p804 @p798 @p792 @p786) :args (@t560 (@list false false false false false) (@list @t533 @t403 @t432 @t302 @t557))) % 0.51/0.75 (assume-push @p840 @t137) % 0.51/0.75 (step @p815 :rule instantiate :premises (@p145) :args ((@list @t291 @t301 @t295 @t431 @t291 @t284))) % 0.51/0.75 (step-pop @p841 :rule scope :premises (@p815)) % 0.51/0.75 (step @p816 :rule process_scope :premises (@p841) :args (@t559)) % 0.51/0.75 (step @p818 :rule implies_elim :premises (@p816)) % 0.51/0.75 (step @p819 false :rule chain_m_resolution :premises (@p818 @p813 @p145) :args (false (@list true false) (@list @t559 @t137))) % 0.51/0.75 ) % 0.51/0.75 % SZS output end Proof % 0.51/0.75 % cvc5 exiting %------------------------------------------------------------------------------