%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN072+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 : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:42:53 AM UTC 2026 % Result : Theorem 0.53s 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 : NUN072+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 : n018.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 12:42:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "Y24" $$unsorted)) % 0.53/0.74 (define @t2 () (@var "X19" $$unsorted)) % 0.53/0.74 (define @t3 () (= @t2 @t1)) % 0.53/0.74 (define @t4 () (tptp.r1 @t2)) % 0.53/0.74 (define @t5 () (and @t4 @t3)) % 0.53/0.74 (define @t6 () (not @t3)) % 0.53/0.74 (define @t7 () (not @t4)) % 0.53/0.74 (define @t8 () (and @t7 @t6)) % 0.53/0.74 (define @t9 () (or @t8 @t5)) % 0.53/0.74 (define @t10 () (@list @t2)) % 0.53/0.74 (define @t11 () (forall @t10 @t9)) % 0.53/0.74 (define @t12 () (@list @t1)) % 0.53/0.74 (define @t13 () (exists @t12 @t11)) % 0.53/0.74 (define @t14 () (@var "Y21" $$unsorted)) % 0.53/0.74 (define @t15 () (@var "X12" $$unsorted)) % 0.53/0.74 (define @t16 () (= @t15 @t14)) % 0.53/0.74 (define @t17 () (@var "X11" $$unsorted)) % 0.53/0.74 (define @t18 () (tptp.r2 @t17 @t15)) % 0.53/0.74 (define @t19 () (and @t18 @t16)) % 0.53/0.74 (define @t20 () (not @t16)) % 0.53/0.74 (define @t21 () (not @t18)) % 0.53/0.74 (define @t22 () (and @t21 @t20)) % 0.53/0.74 (define @t23 () (or @t22 @t19)) % 0.53/0.74 (define @t24 () (@list @t15)) % 0.53/0.74 (define @t25 () (forall @t24 @t23)) % 0.53/0.74 (define @t26 () (@list @t14)) % 0.53/0.74 (define @t27 () (exists @t26 @t25)) % 0.53/0.74 (define @t28 () (forall (@list @t17) @t27)) % 0.53/0.74 (define @t29 () (@var "Y22" $$unsorted)) % 0.53/0.74 (define @t30 () (@var "X15" $$unsorted)) % 0.53/0.74 (define @t31 () (= @t30 @t29)) % 0.53/0.74 (define @t32 () (@var "X14" $$unsorted)) % 0.53/0.74 (define @t33 () (@var "X13" $$unsorted)) % 0.53/0.74 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.53/0.74 (define @t35 () (and @t34 @t31)) % 0.53/0.74 (define @t36 () (not @t31)) % 0.53/0.74 (define @t37 () (not @t34)) % 0.53/0.74 (define @t38 () (and @t37 @t36)) % 0.53/0.74 (define @t39 () (or @t38 @t35)) % 0.53/0.74 (define @t40 () (@list @t30)) % 0.53/0.74 (define @t41 () (forall @t40 @t39)) % 0.53/0.74 (define @t42 () (@list @t29)) % 0.53/0.74 (define @t43 () (exists @t42 @t41)) % 0.53/0.74 (define @t44 () (forall (@list @t33 @t32) @t43)) % 0.53/0.74 (define @t45 () (@var "Y23" $$unsorted)) % 0.53/0.74 (define @t46 () (@var "X18" $$unsorted)) % 0.53/0.74 (define @t47 () (= @t46 @t45)) % 0.53/0.74 (define @t48 () (@var "X17" $$unsorted)) % 0.53/0.74 (define @t49 () (@var "X16" $$unsorted)) % 0.53/0.74 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 0.53/0.74 (define @t51 () (and @t50 @t47)) % 0.53/0.74 (define @t52 () (not @t47)) % 0.53/0.74 (define @t53 () (not @t50)) % 0.53/0.74 (define @t54 () (and @t53 @t52)) % 0.53/0.74 (define @t55 () (or @t54 @t51)) % 0.53/0.74 (define @t56 () (@list @t46)) % 0.53/0.74 (define @t57 () (forall @t56 @t55)) % 0.53/0.74 (define @t58 () (@list @t45)) % 0.53/0.74 (define @t59 () (exists @t58 @t57)) % 0.53/0.74 (define @t60 () (forall (@list @t49 @t48) @t59)) % 0.53/0.74 (define @t61 () (@var "Y7" $$unsorted)) % 0.53/0.74 (define @t62 () (@var "X8" $$unsorted)) % 0.53/0.74 (define @t63 () (@var "X1" $$unsorted)) % 0.53/0.74 (define @t64 () (tptp.r3 @t63 @t62 @t61)) % 0.53/0.74 (define @t65 () (@var "Y4" $$unsorted)) % 0.53/0.74 (define @t66 () (tptp.r2 @t61 @t65)) % 0.53/0.74 (define @t67 () (and @t66 @t64)) % 0.53/0.74 (define @t68 () (@list @t61)) % 0.53/0.74 (define @t69 () (exists @t68 @t67)) % 0.53/0.74 (define @t70 () (@var "Y5" $$unsorted)) % 0.53/0.74 (define @t71 () (= @t70 @t65)) % 0.53/0.74 (define @t72 () (@var "Y15" $$unsorted)) % 0.53/0.74 (define @t73 () (tptp.r3 @t63 @t72 @t70)) % 0.53/0.74 (define @t74 () (tptp.r2 @t62 @t72)) % 0.53/0.74 (define @t75 () (and @t74 @t73)) % 0.53/0.74 (define @t76 () (@list @t72)) % 0.53/0.74 (define @t77 () (exists @t76 @t75)) % 0.53/0.74 (define @t78 () (and @t77 @t71)) % 0.53/0.74 (define @t79 () (@list @t70)) % 0.53/0.74 (define @t80 () (exists @t79 @t78)) % 0.53/0.74 (define @t81 () (and @t80 @t69)) % 0.53/0.74 (define @t82 () (@list @t65)) % 0.53/0.74 (define @t83 () (exists @t82 @t81)) % 0.53/0.74 (define @t84 () (forall (@list @t63 @t62) @t83)) % 0.53/0.74 (define @t85 () (@var "Y6" $$unsorted)) % 0.53/0.74 (define @t86 () (@var "X9" $$unsorted)) % 0.53/0.74 (define @t87 () (@var "X2" $$unsorted)) % 0.53/0.74 (define @t88 () (tptp.r4 @t87 @t86 @t85)) % 0.53/0.74 (define @t89 () (@var "Y2" $$unsorted)) % 0.53/0.74 (define @t90 () (tptp.r3 @t85 @t87 @t89)) % 0.53/0.74 (define @t91 () (and @t90 @t88)) % 0.53/0.74 (define @t92 () (@list @t85)) % 0.53/0.74 (define @t93 () (exists @t92 @t91)) % 0.53/0.74 (define @t94 () (@var "Y3" $$unsorted)) % 0.53/0.74 (define @t95 () (= @t94 @t89)) % 0.53/0.74 (define @t96 () (@var "Y14" $$unsorted)) % 0.53/0.74 (define @t97 () (tptp.r4 @t87 @t96 @t94)) % 0.53/0.74 (define @t98 () (tptp.r2 @t86 @t96)) % 0.53/0.74 (define @t99 () (and @t98 @t97)) % 0.53/0.74 (define @t100 () (@list @t96)) % 0.53/0.74 (define @t101 () (exists @t100 @t99)) % 0.53/0.74 (define @t102 () (and @t101 @t95)) % 0.53/0.74 (define @t103 () (@list @t94)) % 0.53/0.74 (define @t104 () (exists @t103 @t102)) % 0.53/0.74 (define @t105 () (and @t104 @t93)) % 0.53/0.74 (define @t106 () (@list @t89)) % 0.53/0.74 (define @t107 () (exists @t106 @t105)) % 0.53/0.74 (define @t108 () (forall (@list @t87 @t86) @t107)) % 0.53/0.74 (define @t109 () (@var "X10" $$unsorted)) % 0.53/0.74 (define @t110 () (@var "X3" $$unsorted)) % 0.53/0.74 (define @t111 () (@var "Y12" $$unsorted)) % 0.53/0.74 (define @t112 () (@var "Y13" $$unsorted)) % 0.53/0.74 (define @t113 () (@var "X4" $$unsorted)) % 0.53/0.74 (define @t114 () (@var "Y9" $$unsorted)) % 0.53/0.74 (define @t115 () (= @t114 @t113)) % 0.53/0.74 (define @t116 () (@var "Y16" $$unsorted)) % 0.53/0.74 (define @t117 () (tptp.r3 @t113 @t116 @t114)) % 0.53/0.74 (define @t118 () (tptp.r1 @t116)) % 0.53/0.74 (define @t119 () (and @t118 @t117)) % 0.53/0.74 (define @t120 () (@list @t116)) % 0.53/0.74 (define @t121 () (exists @t120 @t119)) % 0.53/0.74 (define @t122 () (and @t121 @t115)) % 0.53/0.74 (define @t123 () (@list @t114)) % 0.53/0.74 (define @t124 () (exists @t123 @t122)) % 0.53/0.74 (define @t125 () (forall (@list @t113) @t124)) % 0.53/0.74 (define @t126 () (@var "Y18" $$unsorted)) % 0.53/0.74 (define @t127 () (@var "Y8" $$unsorted)) % 0.53/0.74 (define @t128 () (= @t127 @t126)) % 0.53/0.74 (define @t129 () (tptp.r1 @t126)) % 0.53/0.74 (define @t130 () (and @t129 @t128)) % 0.53/0.74 (define @t131 () (@list @t126)) % 0.53/0.74 (define @t132 () (exists @t131 @t130)) % 0.53/0.74 (define @t133 () (@var "Y17" $$unsorted)) % 0.53/0.74 (define @t134 () (@var "X5" $$unsorted)) % 0.53/0.74 (define @t135 () (tptp.r4 @t134 @t133 @t127)) % 0.53/0.74 (define @t136 () (tptp.r1 @t133)) % 0.53/0.74 (define @t137 () (and @t136 @t135)) % 0.53/0.74 (define @t138 () (@list @t133)) % 0.53/0.74 (define @t139 () (exists @t138 @t137)) % 0.53/0.74 (define @t140 () (and @t139 @t132)) % 0.53/0.74 (define @t141 () (@list @t127)) % 0.53/0.74 (define @t142 () (exists @t141 @t140)) % 0.53/0.74 (define @t143 () (forall (@list @t134) @t142)) % 0.53/0.74 (define @t144 () (@var "Y11" $$unsorted)) % 0.53/0.74 (define @t145 () (@var "X6" $$unsorted)) % 0.53/0.74 (define @t146 () (@var "Y1" $$unsorted)) % 0.53/0.74 (define @t147 () (@var "Y19" $$unsorted)) % 0.53/0.74 (define @t148 () (@var "Y10" $$unsorted)) % 0.53/0.74 (define @t149 () (@var "X7" $$unsorted)) % 0.53/0.74 (define @t150 () (@var "Y20" $$unsorted)) % 0.53/0.74 (define @t151 () (tptp.r2 @t114 @t85)) % 0.53/0.74 (define @t152 () (tptp.r1 @t114)) % 0.53/0.74 (define @t153 () (and @t152 @t151)) % 0.53/0.74 (define @t154 () (exists @t123 @t153)) % 0.53/0.74 (define @t155 () (tptp.r2 @t85 @t94)) % 0.53/0.74 (define @t156 () (and @t155 @t154)) % 0.53/0.74 (define @t157 () (exists @t92 @t156)) % 0.53/0.74 (define @t158 () (and (= @t146 @t94) @t157)) % 0.53/0.74 (define @t159 () (exists @t103 @t158)) % 0.53/0.74 (define @t160 () (tptp.r2 @t127 @t70)) % 0.53/0.74 (define @t161 () (tptp.r1 @t127)) % 0.53/0.74 (define @t162 () (and @t161 @t160)) % 0.53/0.74 (define @t163 () (exists @t141 @t162)) % 0.53/0.74 (define @t164 () (tptp.r4 @t70 @t89 @t146)) % 0.53/0.74 (define @t165 () (and @t164 @t163)) % 0.53/0.74 (define @t166 () (exists @t79 @t165)) % 0.53/0.74 (define @t167 () (tptp.r1 @t61)) % 0.53/0.74 (define @t168 () (and @t167 @t66)) % 0.53/0.74 (define @t169 () (exists @t68 @t168)) % 0.53/0.74 (define @t170 () (tptp.r2 @t65 @t89)) % 0.53/0.74 (define @t171 () (and @t170 @t169)) % 0.53/0.74 (define @t172 () (exists @t82 @t171)) % 0.53/0.74 (define @t173 () (and @t172 @t166)) % 0.53/0.74 (define @t174 () (exists @t106 @t173)) % 0.53/0.74 (define @t175 () (and @t174 @t159)) % 0.53/0.74 (define @t176 () (@list @t146)) % 0.53/0.74 (define @t177 () (exists @t176 @t175)) % 0.53/0.74 (define @t178 () (not @t177)) % 0.53/0.74 (define @t179 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 0.53/0.74 (define @t180 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 0.53/0.74 (define @t181 () (not (tptp.r2 @t180 @t179))) % 0.53/0.74 (define @t182 () (not (tptp.r1 @t180))) % 0.53/0.74 (define @t183 () (not (tptp.r2 @t179 @t146))) % 0.53/0.74 (define @t184 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.53/0.74 (define @t185 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.53/0.74 (define @t186 () (not (tptp.r2 @t185 @t184))) % 0.53/0.74 (define @t187 () (not (tptp.r1 @t185))) % 0.53/0.74 (define @t188 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.53/0.74 (define @t189 () (not (tptp.r4 @t184 @t188 @t146))) % 0.53/0.74 (define @t190 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.53/0.74 (define @t191 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.53/0.74 (define @t192 () (not (tptp.r2 @t191 @t190))) % 0.53/0.74 (define @t193 () (not (tptp.r1 @t191))) % 0.53/0.74 (define @t194 () (not (tptp.r2 @t190 @t188))) % 0.53/0.74 (define @t195 () (or @t194 @t193 @t192 @t189 @t187 @t186 @t183 @t182 @t181)) % 0.53/0.74 (define @t196 () (@list @t146 @t188 @t190 @t191 @t184 @t185 @t179 @t180)) % 0.53/0.74 (define @t197 () (or @t183 @t182 @t181)) % 0.53/0.74 (define @t198 () (or @t194 @t193 @t192 @t189 @t187 @t186)) % 0.53/0.74 (define @t199 () (or @t198 @t197)) % 0.53/0.74 (define @t200 () (forall @t196 @t199)) % 0.53/0.74 (define @t201 () (forall (@list @t188 @t190 @t191 @t184 @t185 @t179 @t180) @t199)) % 0.53/0.74 (define @t202 () (forall (@list @t179 @t180) @t197)) % 0.53/0.74 (define @t203 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 0.53/0.74 (define @t204 () (@var "BOUND_VARIABLE_8271" $$unsorted)) % 0.53/0.74 (define @t205 () (@list @t204 @t203)) % 0.53/0.74 (define @t206 () (forall (@list @t188 @t190 @t191 @t184 @t185) @t198)) % 0.53/0.74 (define @t207 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 0.53/0.74 (define @t208 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 0.53/0.74 (define @t209 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 0.53/0.74 (define @t210 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 0.53/0.74 (define @t211 () (or @t206 @t202)) % 0.53/0.74 (define @t212 () (not (tptp.r2 @t203 @t204))) % 0.53/0.74 (define @t213 () (not (tptp.r1 @t203))) % 0.53/0.74 (define @t214 () (not (tptp.r2 @t204 @t146))) % 0.53/0.74 (define @t215 () (or @t214 @t213 @t212)) % 0.53/0.74 (define @t216 () (@list @t204 @t203)) % 0.53/0.74 (define @t217 () (forall @t216 @t215)) % 0.53/0.74 (define @t218 () (not (tptp.r2 @t207 @t208))) % 0.53/0.74 (define @t219 () (not (tptp.r1 @t207))) % 0.53/0.74 (define @t220 () (not (tptp.r4 @t208 @t89 @t146))) % 0.53/0.74 (define @t221 () (not (tptp.r2 @t209 @t210))) % 0.53/0.74 (define @t222 () (not (tptp.r1 @t209))) % 0.53/0.74 (define @t223 () (not (tptp.r2 @t210 @t89))) % 0.53/0.74 (define @t224 () (or @t223 @t222 @t221 @t220 @t219 @t218)) % 0.53/0.74 (define @t225 () (@list @t89 @t210 @t209 @t208 @t207)) % 0.53/0.74 (define @t226 () (forall @t225 @t224)) % 0.53/0.74 (define @t227 () (not @t217)) % 0.53/0.74 (define @t228 () (not @t226)) % 0.53/0.74 (define @t229 () (and @t228 @t227)) % 0.53/0.74 (define @t230 () (forall @t176 (not @t229))) % 0.53/0.74 (define @t231 () (not @t230)) % 0.53/0.74 (define @t232 () (not (= @t146 @t146))) % 0.53/0.74 (define @t233 () (or @t232 @t214 @t213 @t212)) % 0.53/0.74 (define @t234 () (not (tptp.r2 @t204 @t94))) % 0.53/0.74 (define @t235 () (= @t94 @t146)) % 0.53/0.74 (define @t236 () (not @t235)) % 0.53/0.74 (define @t237 () (or @t236 @t236 @t234 @t213 @t212)) % 0.53/0.74 (define @t238 () (or @t236 @t234 @t213 @t212)) % 0.53/0.74 (define @t239 () (forall @t103 @t238)) % 0.53/0.74 (define @t240 () (forall @t216 @t239)) % 0.53/0.74 (define @t241 () (forall (@list @t204 @t203 @t94) @t238)) % 0.53/0.74 (define @t242 () (@list @t94 @t204 @t203)) % 0.53/0.74 (define @t243 () (or @t234 @t213 @t212)) % 0.53/0.74 (define @t244 () (or @t236 @t243)) % 0.53/0.74 (define @t245 () (forall @t242 @t244)) % 0.53/0.74 (define @t246 () (forall @t216 @t244)) % 0.53/0.74 (define @t247 () (forall @t216 @t243)) % 0.53/0.74 (define @t248 () (@var "BOUND_VARIABLE_8250" $$unsorted)) % 0.53/0.74 (define @t249 () (or @t236 @t247)) % 0.53/0.74 (define @t250 () (not (tptp.r2 @t248 @t85))) % 0.53/0.74 (define @t251 () (not (tptp.r1 @t248))) % 0.53/0.74 (define @t252 () (not @t155)) % 0.53/0.74 (define @t253 () (or @t252 @t251 @t250)) % 0.53/0.74 (define @t254 () (@list @t85 @t248)) % 0.53/0.74 (define @t255 () (forall @t254 @t253)) % 0.53/0.74 (define @t256 () (not @t255)) % 0.53/0.74 (define @t257 () (and @t235 @t256)) % 0.53/0.74 (define @t258 () (forall @t103 (not @t257))) % 0.53/0.74 (define @t259 () (not @t258)) % 0.53/0.74 (define @t260 () (or @t251 @t250)) % 0.53/0.74 (define @t261 () (or @t252 @t260)) % 0.53/0.74 (define @t262 () (forall @t254 @t261)) % 0.53/0.74 (define @t263 () (@list @t248)) % 0.53/0.74 (define @t264 () (forall @t263 @t261)) % 0.53/0.74 (define @t265 () (forall @t263 @t260)) % 0.53/0.74 (define @t266 () (or @t252 @t265)) % 0.53/0.74 (define @t267 () (forall @t123 (or (not @t152) (not @t151)))) % 0.53/0.74 (define @t268 () (not @t267)) % 0.53/0.74 (define @t269 () (and @t155 @t268)) % 0.53/0.74 (define @t270 () (forall @t92 (not @t269))) % 0.53/0.74 (define @t271 () (not @t270)) % 0.53/0.74 (define @t272 () (forall @t123 (not @t153))) % 0.53/0.74 (define @t273 () (not @t272)) % 0.53/0.74 (define @t274 () (or @t220 @t219 @t218)) % 0.53/0.74 (define @t275 () (or @t223 @t222 @t221)) % 0.53/0.74 (define @t276 () (or @t275 @t274)) % 0.53/0.74 (define @t277 () (forall @t225 @t276)) % 0.53/0.74 (define @t278 () (forall (@list @t210 @t209 @t208 @t207) @t276)) % 0.53/0.74 (define @t279 () (forall (@list @t208 @t207) @t274)) % 0.53/0.74 (define @t280 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 0.53/0.74 (define @t281 () (forall (@list @t210 @t209) @t275)) % 0.53/0.74 (define @t282 () (@var "BOUND_VARIABLE_8157" $$unsorted)) % 0.53/0.74 (define @t283 () (or @t281 @t279)) % 0.53/0.74 (define @t284 () (not (tptp.r2 @t280 @t70))) % 0.53/0.74 (define @t285 () (not (tptp.r1 @t280))) % 0.53/0.74 (define @t286 () (not @t164)) % 0.53/0.74 (define @t287 () (or @t286 @t285 @t284)) % 0.53/0.74 (define @t288 () (@list @t70 @t280)) % 0.53/0.74 (define @t289 () (forall @t288 @t287)) % 0.53/0.74 (define @t290 () (not (tptp.r2 @t282 @t65))) % 0.53/0.74 (define @t291 () (not (tptp.r1 @t282))) % 0.53/0.74 (define @t292 () (not @t170)) % 0.53/0.74 (define @t293 () (or @t292 @t291 @t290)) % 0.53/0.74 (define @t294 () (@list @t65 @t282)) % 0.53/0.74 (define @t295 () (forall @t294 @t293)) % 0.53/0.74 (define @t296 () (not @t289)) % 0.53/0.74 (define @t297 () (not @t295)) % 0.53/0.74 (define @t298 () (and @t297 @t296)) % 0.53/0.74 (define @t299 () (forall @t106 (not @t298))) % 0.53/0.74 (define @t300 () (not @t299)) % 0.53/0.74 (define @t301 () (or @t285 @t284)) % 0.53/0.74 (define @t302 () (or @t286 @t301)) % 0.53/0.74 (define @t303 () (forall @t288 @t302)) % 0.53/0.74 (define @t304 () (@list @t280)) % 0.53/0.74 (define @t305 () (forall @t304 @t302)) % 0.53/0.74 (define @t306 () (forall @t304 @t301)) % 0.53/0.74 (define @t307 () (or @t286 @t306)) % 0.53/0.74 (define @t308 () (not @t161)) % 0.53/0.74 (define @t309 () (forall @t141 (or @t308 (not @t160)))) % 0.53/0.74 (define @t310 () (not @t309)) % 0.53/0.74 (define @t311 () (and @t164 @t310)) % 0.53/0.74 (define @t312 () (forall @t79 (not @t311))) % 0.53/0.74 (define @t313 () (not @t312)) % 0.53/0.74 (define @t314 () (forall @t141 (not @t162))) % 0.53/0.74 (define @t315 () (not @t314)) % 0.53/0.74 (define @t316 () (or @t291 @t290)) % 0.53/0.74 (define @t317 () (or @t292 @t316)) % 0.53/0.74 (define @t318 () (forall @t294 @t317)) % 0.53/0.74 (define @t319 () (@list @t282)) % 0.53/0.74 (define @t320 () (forall @t319 @t317)) % 0.53/0.74 (define @t321 () (forall @t319 @t316)) % 0.53/0.74 (define @t322 () (@list @t61)) % 0.53/0.74 (define @t323 () (or @t292 @t321)) % 0.53/0.74 (define @t324 () (not @t66)) % 0.53/0.74 (define @t325 () (forall @t68 (or (not @t167) @t324))) % 0.53/0.74 (define @t326 () (not @t325)) % 0.53/0.74 (define @t327 () (and @t170 @t326)) % 0.53/0.74 (define @t328 () (forall @t82 (not @t327))) % 0.53/0.74 (define @t329 () (not @t328)) % 0.53/0.74 (define @t330 () (forall @t68 (not @t168))) % 0.53/0.74 (define @t331 () (not @t330)) % 0.53/0.74 (define @t332 () (tptp.r1 @t1)) % 0.53/0.74 (define @t333 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 0.53/0.74 (define @t334 () (tptp.r1 @t333)) % 0.53/0.74 (define @t335 () (not @t334)) % 0.53/0.74 (define @t336 () (@list @t333)) % 0.53/0.74 (define @t337 () (forall @t336 (or @t335 (and @t334 (= @t1 @t333))))) % 0.53/0.74 (define @t338 () (forall @t12 (or (not @t337) (not @t332)))) % 0.53/0.74 (define @t339 () (@quantifiers_skolemize @t338 0)) % 0.53/0.74 (define @t340 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 0.53/0.74 (define @t341 () (= @t14 @t340)) % 0.53/0.74 (define @t342 () (tptp.r2 @t339 @t340)) % 0.53/0.74 (define @t343 () (not @t342)) % 0.53/0.74 (define @t344 () (@list @t340)) % 0.53/0.74 (define @t345 () (forall @t26 (or (not (forall @t344 (or @t343 (and @t342 @t341)))) (not (tptp.r2 @t339 @t14))))) % 0.53/0.74 (define @t346 () (@quantifiers_skolemize @t345 0)) % 0.53/0.74 (define @t347 () (tptp.r2 @t346 @t340)) % 0.53/0.74 (define @t348 () (not @t347)) % 0.53/0.74 (define @t349 () (forall @t26 (or (not (forall @t344 (or @t348 (and @t347 @t341)))) (not (tptp.r2 @t346 @t14))))) % 0.53/0.74 (define @t350 () (@quantifiers_skolemize @t349 0)) % 0.53/0.74 (define @t351 () (tptp.r2 @t17 @t340)) % 0.53/0.74 (define @t352 () (forall @t344 (or (not @t351) (and @t351 @t341)))) % 0.53/0.74 (define @t353 () (tptp.r2 @t17 @t14)) % 0.53/0.74 (define @t354 () (and @t352 @t353)) % 0.53/0.74 (define @t355 () (forall @t26 (not @t354))) % 0.53/0.74 (define @t356 () (not @t355)) % 0.53/0.74 (define @t357 () (= @t14 @t14)) % 0.53/0.74 (define @t358 () (and @t353 @t357)) % 0.53/0.74 (define @t359 () (not @t357)) % 0.53/0.74 (define @t360 () (or @t359 @t358)) % 0.53/0.74 (define @t361 () (@var "BOUND_VARIABLE_7707" $$unsorted)) % 0.53/0.74 (define @t362 () (= @t14 @t361)) % 0.53/0.74 (define @t363 () (and (tptp.r2 @t17 @t361) @t362)) % 0.53/0.74 (define @t364 () (not @t362)) % 0.53/0.74 (define @t365 () (@list @t361)) % 0.53/0.74 (define @t366 () (or @t364 @t364 @t363)) % 0.53/0.74 (define @t367 () (or @t364 @t363)) % 0.53/0.74 (define @t368 () (forall @t365 @t367)) % 0.53/0.74 (define @t369 () (= @t14 @t15)) % 0.53/0.74 (define @t370 () (and @t18 @t369)) % 0.53/0.74 (define @t371 () (not @t369)) % 0.53/0.74 (define @t372 () (or @t371 @t370)) % 0.53/0.74 (define @t373 () (forall @t24 @t372)) % 0.53/0.74 (define @t374 () (@list @t15)) % 0.53/0.74 (define @t375 () (or @t21 @t370)) % 0.53/0.74 (define @t376 () (forall @t24 @t375)) % 0.53/0.74 (define @t377 () (and @t376 @t373)) % 0.53/0.74 (define @t378 () (@list @t346)) % 0.53/0.74 (define @t379 () (tptp.r2 @t346 @t350)) % 0.53/0.74 (define @t380 () (not @t379)) % 0.53/0.74 (define @t381 () (forall @t344 (or @t348 (and @t347 (= @t340 @t350))))) % 0.53/0.74 (define @t382 () (not @t381)) % 0.53/0.74 (define @t383 () (or @t382 @t380)) % 0.53/0.74 (define @t384 () (not @t383)) % 0.53/0.74 (define @t385 () (not @t349)) % 0.53/0.74 (define @t386 () (and @t347 (= @t350 @t340))) % 0.53/0.74 (define @t387 () (or @t348 @t386)) % 0.53/0.74 (define @t388 () (forall @t344 @t387)) % 0.53/0.74 (define @t389 () (not @t388)) % 0.53/0.74 (define @t390 () (or @t389 @t380)) % 0.53/0.74 (define @t391 () (not @t390)) % 0.53/0.74 (define @t392 () (@list true)) % 0.53/0.74 (define @t393 () (@list @t383)) % 0.53/0.74 (define @t394 () (@list @t339)) % 0.53/0.74 (define @t395 () (tptp.r2 @t339 @t346)) % 0.53/0.74 (define @t396 () (not @t395)) % 0.53/0.74 (define @t397 () (forall @t344 (or @t343 (and @t342 (= @t340 @t346))))) % 0.53/0.74 (define @t398 () (not @t397)) % 0.53/0.74 (define @t399 () (or @t398 @t396)) % 0.53/0.74 (define @t400 () (not @t399)) % 0.53/0.74 (define @t401 () (not @t345)) % 0.53/0.74 (define @t402 () (and @t342 (= @t346 @t340))) % 0.53/0.74 (define @t403 () (or @t343 @t402)) % 0.53/0.74 (define @t404 () (forall @t344 @t403)) % 0.53/0.74 (define @t405 () (not @t404)) % 0.53/0.74 (define @t406 () (or @t405 @t396)) % 0.53/0.74 (define @t407 () (not @t406)) % 0.53/0.74 (define @t408 () (@list @t399)) % 0.53/0.74 (define @t409 () (and @t337 @t332)) % 0.53/0.74 (define @t410 () (forall @t12 (not @t409))) % 0.53/0.74 (define @t411 () (not @t410)) % 0.53/0.74 (define @t412 () (= @t1 @t1)) % 0.53/0.74 (define @t413 () (and @t332 @t412)) % 0.53/0.74 (define @t414 () (not @t412)) % 0.53/0.74 (define @t415 () (or @t414 @t413)) % 0.53/0.74 (define @t416 () (@var "BOUND_VARIABLE_7660" $$unsorted)) % 0.53/0.74 (define @t417 () (= @t1 @t416)) % 0.53/0.74 (define @t418 () (and (tptp.r1 @t416) @t417)) % 0.53/0.74 (define @t419 () (not @t417)) % 0.53/0.74 (define @t420 () (@list @t416)) % 0.53/0.74 (define @t421 () (or @t419 @t419 @t418)) % 0.53/0.74 (define @t422 () (or @t419 @t418)) % 0.53/0.74 (define @t423 () (forall @t420 @t422)) % 0.53/0.74 (define @t424 () (= @t1 @t2)) % 0.53/0.74 (define @t425 () (and @t4 @t424)) % 0.53/0.74 (define @t426 () (not @t424)) % 0.53/0.74 (define @t427 () (or @t426 @t425)) % 0.53/0.74 (define @t428 () (forall @t10 @t427)) % 0.53/0.74 (define @t429 () (@list @t2)) % 0.53/0.74 (define @t430 () (or @t7 @t425)) % 0.53/0.74 (define @t431 () (forall @t10 @t430)) % 0.53/0.74 (define @t432 () (and @t431 @t428)) % 0.53/0.74 (define @t433 () (tptp.r1 @t339)) % 0.53/0.74 (define @t434 () (not @t433)) % 0.53/0.74 (define @t435 () (forall @t336 (or @t335 (and @t334 (= @t333 @t339))))) % 0.53/0.74 (define @t436 () (not @t435)) % 0.53/0.74 (define @t437 () (or @t436 @t434)) % 0.53/0.74 (define @t438 () (not @t437)) % 0.53/0.74 (define @t439 () (not @t338)) % 0.53/0.74 (define @t440 () (and @t334 (= @t339 @t333))) % 0.53/0.74 (define @t441 () (or @t335 @t440)) % 0.53/0.74 (define @t442 () (forall @t336 @t441)) % 0.53/0.74 (define @t443 () (not @t442)) % 0.53/0.74 (define @t444 () (or @t443 @t434)) % 0.53/0.74 (define @t445 () (not @t444)) % 0.53/0.74 (define @t446 () (@list @t437)) % 0.53/0.74 (define @t447 () (not (tptp.r4 @t346 @t350 @t350))) % 0.53/0.74 (define @t448 () (or @t380 @t434 @t396 @t447 @t434 @t396 @t380 @t434 @t396)) % 0.53/0.74 (define @t449 () (@var "BOUND_VARIABLE_7894" $$unsorted)) % 0.53/0.74 (define @t450 () (not (tptp.r2 @t449 @t65))) % 0.53/0.74 (define @t451 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 0.53/0.74 (define @t452 () (not (tptp.r2 @t339 @t451))) % 0.53/0.74 (define @t453 () (@list @t65 @t451 @t449)) % 0.53/0.74 (define @t454 () (forall @t453 (or @t452 (not (tptp.r3 @t346 @t451 @t65)) @t450 (not (tptp.r3 @t346 @t339 @t449))))) % 0.53/0.74 (define @t455 () (@quantifiers_skolemize @t454 0)) % 0.53/0.74 (define @t456 () (tptp.r2 @t346 @t455)) % 0.53/0.74 (define @t457 () (and @t456 (= @t455 @t350))) % 0.53/0.74 (define @t458 () (not @t456)) % 0.53/0.74 (define @t459 () (or @t458 @t457)) % 0.53/0.74 (define @t460 () (@list @t455)) % 0.53/0.74 (define @t461 () (= @t350 @t455)) % 0.53/0.74 (define @t462 () (and @t456 @t461)) % 0.53/0.74 (define @t463 () (or @t458 @t462)) % 0.53/0.74 (define @t464 () (@list false)) % 0.53/0.74 (define @t465 () (@list @t381)) % 0.53/0.74 (define @t466 () (not (tptp.r3 @t63 @t62 @t449))) % 0.53/0.74 (define @t467 () (not (tptp.r3 @t63 @t451 @t65))) % 0.53/0.74 (define @t468 () (not (tptp.r2 @t62 @t451))) % 0.53/0.74 (define @t469 () (or @t450 @t466)) % 0.53/0.74 (define @t470 () (or @t468 @t467)) % 0.53/0.74 (define @t471 () (or @t470 @t469)) % 0.53/0.74 (define @t472 () (forall @t453 @t471)) % 0.53/0.74 (define @t473 () (forall (@list @t451 @t449) @t471)) % 0.53/0.74 (define @t474 () (forall (@list @t449) @t469)) % 0.53/0.74 (define @t475 () (forall (@list @t451) @t470)) % 0.53/0.74 (define @t476 () (@var "BOUND_VARIABLE_7849" $$unsorted)) % 0.53/0.74 (define @t477 () (@list @t476)) % 0.53/0.74 (define @t478 () (or @t475 @t474)) % 0.53/0.74 (define @t479 () (forall @t68 (or @t324 (not @t64)))) % 0.53/0.74 (define @t480 () (not (tptp.r3 @t63 @t476 @t65))) % 0.53/0.74 (define @t481 () (not (tptp.r2 @t62 @t476))) % 0.53/0.74 (define @t482 () (or @t481 @t480)) % 0.53/0.74 (define @t483 () (@list @t476)) % 0.53/0.74 (define @t484 () (forall @t483 @t482)) % 0.53/0.74 (define @t485 () (not @t479)) % 0.53/0.74 (define @t486 () (not @t484)) % 0.53/0.74 (define @t487 () (and @t486 @t485)) % 0.53/0.74 (define @t488 () (forall @t82 (not @t487))) % 0.53/0.74 (define @t489 () (not @t488)) % 0.53/0.74 (define @t490 () (forall @t68 (not @t67))) % 0.53/0.74 (define @t491 () (not @t490)) % 0.53/0.74 (define @t492 () (not (= @t65 @t65))) % 0.53/0.74 (define @t493 () (or @t492 @t481 @t480)) % 0.53/0.74 (define @t494 () (not (tptp.r3 @t63 @t476 @t70))) % 0.53/0.74 (define @t495 () (= @t65 @t70)) % 0.53/0.74 (define @t496 () (not @t495)) % 0.53/0.74 (define @t497 () (or @t496 @t496 @t481 @t494)) % 0.53/0.74 (define @t498 () (or @t496 @t481 @t494)) % 0.53/0.74 (define @t499 () (forall @t79 @t498)) % 0.53/0.74 (define @t500 () (forall @t483 @t499)) % 0.53/0.74 (define @t501 () (forall (@list @t476 @t70) @t498)) % 0.53/0.74 (define @t502 () (@list @t70 @t476)) % 0.53/0.74 (define @t503 () (or @t481 @t494)) % 0.53/0.74 (define @t504 () (or @t503 @t496)) % 0.53/0.74 (define @t505 () (forall @t502 @t504)) % 0.53/0.74 (define @t506 () (forall @t483 @t504)) % 0.53/0.74 (define @t507 () (forall @t483 @t503)) % 0.53/0.74 (define @t508 () (or @t507 @t496)) % 0.53/0.74 (define @t509 () (forall @t76 (or (not @t74) (not @t73)))) % 0.53/0.74 (define @t510 () (not @t509)) % 0.53/0.74 (define @t511 () (and @t510 @t495)) % 0.53/0.74 (define @t512 () (forall @t79 (not @t511))) % 0.53/0.74 (define @t513 () (not @t512)) % 0.53/0.74 (define @t514 () (forall @t76 (not @t75))) % 0.53/0.74 (define @t515 () (not @t514)) % 0.53/0.74 (define @t516 () (@list @t346 @t339)) % 0.53/0.74 (define @t517 () (@quantifiers_skolemize @t454 2)) % 0.53/0.74 (define @t518 () (tptp.r2 @t517 @t455)) % 0.53/0.74 (define @t519 () (tptp.r3 @t346 @t339 @t517)) % 0.53/0.74 (define @t520 () (not @t519)) % 0.53/0.74 (define @t521 () (not @t518)) % 0.53/0.74 (define @t522 () (@quantifiers_skolemize @t454 1)) % 0.53/0.74 (define @t523 () (tptp.r3 @t346 @t522 @t455)) % 0.53/0.74 (define @t524 () (not @t523)) % 0.53/0.74 (define @t525 () (tptp.r2 @t339 @t522)) % 0.53/0.74 (define @t526 () (not @t525)) % 0.53/0.74 (define @t527 () (or @t526 @t524 @t521 @t520)) % 0.53/0.74 (define @t528 () (@list @t527)) % 0.53/0.74 (define @t529 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.53/0.74 (define @t530 () (= @t29 @t529)) % 0.53/0.74 (define @t531 () (tptp.r3 @t33 @t32 @t529)) % 0.53/0.74 (define @t532 () (@list @t529)) % 0.53/0.74 (define @t533 () (forall @t532 (or (not @t531) (and @t531 @t530)))) % 0.53/0.74 (define @t534 () (tptp.r3 @t33 @t32 @t29)) % 0.53/0.74 (define @t535 () (and @t533 @t534)) % 0.53/0.74 (define @t536 () (forall @t42 (not @t535))) % 0.53/0.74 (define @t537 () (not @t536)) % 0.53/0.74 (define @t538 () (= @t29 @t29)) % 0.53/0.74 (define @t539 () (and @t534 @t538)) % 0.53/0.74 (define @t540 () (not @t538)) % 0.53/0.74 (define @t541 () (or @t540 @t539)) % 0.53/0.74 (define @t542 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.53/0.74 (define @t543 () (= @t29 @t542)) % 0.53/0.74 (define @t544 () (and (tptp.r3 @t33 @t32 @t542) @t543)) % 0.53/0.74 (define @t545 () (not @t543)) % 0.53/0.74 (define @t546 () (@list @t542)) % 0.53/0.74 (define @t547 () (or @t545 @t545 @t544)) % 0.53/0.74 (define @t548 () (or @t545 @t544)) % 0.53/0.74 (define @t549 () (forall @t546 @t548)) % 0.53/0.74 (define @t550 () (= @t29 @t30)) % 0.53/0.74 (define @t551 () (and @t34 @t550)) % 0.53/0.74 (define @t552 () (not @t550)) % 0.53/0.74 (define @t553 () (or @t552 @t551)) % 0.53/0.74 (define @t554 () (forall @t40 @t553)) % 0.53/0.74 (define @t555 () (@list @t30)) % 0.53/0.74 (define @t556 () (or @t37 @t551)) % 0.53/0.74 (define @t557 () (forall @t40 @t556)) % 0.53/0.74 (define @t558 () (and @t557 @t554)) % 0.53/0.74 (define @t559 () (tptp.r3 @t346 @t339 @t529)) % 0.53/0.74 (define @t560 () (not @t559)) % 0.53/0.74 (define @t561 () (forall @t42 (or (not (forall @t532 (or @t560 (and @t559 @t530)))) (not (tptp.r3 @t346 @t339 @t29))))) % 0.53/0.74 (define @t562 () (@quantifiers_skolemize @t561 0)) % 0.53/0.74 (define @t563 () (not (tptp.r3 @t346 @t339 @t562))) % 0.53/0.74 (define @t564 () (forall @t532 (or @t560 (and @t559 (= @t529 @t562))))) % 0.53/0.74 (define @t565 () (not @t564)) % 0.53/0.74 (define @t566 () (or @t565 @t563)) % 0.53/0.74 (define @t567 () (not @t566)) % 0.53/0.74 (define @t568 () (not @t561)) % 0.53/0.74 (define @t569 () (and @t559 (= @t562 @t529))) % 0.53/0.74 (define @t570 () (or @t560 @t569)) % 0.53/0.74 (define @t571 () (forall @t532 @t570)) % 0.53/0.74 (define @t572 () (not @t571)) % 0.53/0.74 (define @t573 () (or @t572 @t563)) % 0.53/0.74 (define @t574 () (not @t573)) % 0.53/0.74 (define @t575 () (and @t519 (= @t517 @t562))) % 0.53/0.74 (define @t576 () (or @t520 @t575)) % 0.53/0.74 (define @t577 () (= @t562 @t517)) % 0.53/0.74 (define @t578 () (and @t519 @t577)) % 0.53/0.74 (define @t579 () (or @t520 @t578)) % 0.53/0.74 (define @t580 () (@list false false)) % 0.53/0.74 (define @t581 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 0.53/0.74 (define @t582 () (not (tptp.r3 @t113 @t581 @t113))) % 0.53/0.74 (define @t583 () (not (tptp.r1 @t581))) % 0.53/0.74 (define @t584 () (not (= @t113 @t113))) % 0.53/0.74 (define @t585 () (or @t584 @t583 @t582)) % 0.53/0.74 (define @t586 () (@list @t581)) % 0.53/0.74 (define @t587 () (not (tptp.r3 @t113 @t581 @t114))) % 0.53/0.74 (define @t588 () (= @t113 @t114)) % 0.53/0.74 (define @t589 () (not @t588)) % 0.53/0.74 (define @t590 () (or @t589 @t589 @t583 @t587)) % 0.53/0.74 (define @t591 () (or @t589 @t583 @t587)) % 0.53/0.74 (define @t592 () (forall @t123 @t591)) % 0.53/0.74 (define @t593 () (forall @t586 @t592)) % 0.53/0.74 (define @t594 () (forall (@list @t581 @t114) @t591)) % 0.53/0.74 (define @t595 () (@list @t114 @t581)) % 0.53/0.74 (define @t596 () (or @t583 @t587)) % 0.53/0.74 (define @t597 () (or @t596 @t589)) % 0.53/0.74 (define @t598 () (forall @t595 @t597)) % 0.53/0.74 (define @t599 () (forall @t586 @t597)) % 0.53/0.74 (define @t600 () (forall @t586 @t596)) % 0.53/0.74 (define @t601 () (or @t600 @t589)) % 0.53/0.74 (define @t602 () (forall @t120 (or (not @t118) (not @t117)))) % 0.53/0.74 (define @t603 () (not @t602)) % 0.53/0.74 (define @t604 () (and @t603 @t588)) % 0.53/0.74 (define @t605 () (forall @t123 (not @t604))) % 0.53/0.74 (define @t606 () (not @t605)) % 0.53/0.74 (define @t607 () (forall @t120 (not @t119))) % 0.53/0.74 (define @t608 () (not @t607)) % 0.53/0.74 (define @t609 () (@quantifiers_skolemize (forall @t586 (or @t583 (not (tptp.r3 @t346 @t581 @t346)))) 0)) % 0.53/0.74 (define @t610 () (tptp.r3 @t346 @t609 @t346)) % 0.53/0.74 (define @t611 () (not @t610)) % 0.53/0.74 (define @t612 () (tptp.r1 @t609)) % 0.53/0.74 (define @t613 () (not @t612)) % 0.53/0.74 (define @t614 () (or @t613 @t611)) % 0.53/0.74 (define @t615 () (@list @t614)) % 0.53/0.74 (define @t616 () (and @t612 (= @t609 @t339))) % 0.53/0.74 (define @t617 () (or @t613 @t616)) % 0.53/0.74 (define @t618 () (= @t339 @t609)) % 0.53/0.74 (define @t619 () (and @t612 @t618)) % 0.53/0.74 (define @t620 () (or @t613 @t619)) % 0.53/0.74 (define @t621 () (@list @t435)) % 0.53/0.74 (define @t622 () (tptp.r3 @t346 @t339 @t346)) % 0.53/0.74 (define @t623 () (= @t346 @t562)) % 0.53/0.74 (define @t624 () (and @t622 @t623)) % 0.53/0.74 (define @t625 () (not @t622)) % 0.53/0.74 (define @t626 () (or @t625 @t624)) % 0.53/0.74 (define @t627 () (forall @t453 (or @t452 (not (tptp.r3 @t339 @t451 @t65)) @t450 (not (tptp.r3 @t339 @t339 @t449))))) % 0.53/0.74 (define @t628 () (@quantifiers_skolemize @t627 0)) % 0.53/0.74 (define @t629 () (tptp.r2 @t339 @t628)) % 0.53/0.74 (define @t630 () (and @t629 (= @t628 @t346))) % 0.53/0.74 (define @t631 () (not @t629)) % 0.53/0.74 (define @t632 () (or @t631 @t630)) % 0.53/0.74 (define @t633 () (@list @t628)) % 0.53/0.74 (define @t634 () (= @t346 @t628)) % 0.53/0.74 (define @t635 () (and @t629 @t634)) % 0.53/0.74 (define @t636 () (or @t631 @t635)) % 0.53/0.74 (define @t637 () (@list @t397)) % 0.53/0.74 (define @t638 () (@list @t339 @t339)) % 0.53/0.74 (define @t639 () (@quantifiers_skolemize @t627 2)) % 0.53/0.74 (define @t640 () (tptp.r2 @t639 @t628)) % 0.53/0.74 (define @t641 () (tptp.r3 @t339 @t339 @t639)) % 0.53/0.74 (define @t642 () (not @t641)) % 0.53/0.74 (define @t643 () (not @t640)) % 0.53/0.74 (define @t644 () (@quantifiers_skolemize @t627 1)) % 0.53/0.74 (define @t645 () (tptp.r3 @t339 @t644 @t628)) % 0.53/0.74 (define @t646 () (not @t645)) % 0.53/0.74 (define @t647 () (tptp.r2 @t339 @t644)) % 0.53/0.74 (define @t648 () (not @t647)) % 0.53/0.74 (define @t649 () (or @t648 @t646 @t643 @t642)) % 0.53/0.74 (define @t650 () (@list @t649)) % 0.53/0.74 (define @t651 () (tptp.r3 @t339 @t339 @t529)) % 0.53/0.74 (define @t652 () (not @t651)) % 0.53/0.74 (define @t653 () (forall @t42 (or (not (forall @t532 (or @t652 (and @t651 @t530)))) (not (tptp.r3 @t339 @t339 @t29))))) % 0.53/0.74 (define @t654 () (@quantifiers_skolemize @t653 0)) % 0.53/0.74 (define @t655 () (not (tptp.r3 @t339 @t339 @t654))) % 0.53/0.74 (define @t656 () (forall @t532 (or @t652 (and @t651 (= @t529 @t654))))) % 0.53/0.74 (define @t657 () (not @t656)) % 0.53/0.74 (define @t658 () (or @t657 @t655)) % 0.53/0.74 (define @t659 () (not @t658)) % 0.53/0.74 (define @t660 () (not @t653)) % 0.53/0.74 (define @t661 () (and @t651 (= @t654 @t529))) % 0.53/0.74 (define @t662 () (or @t652 @t661)) % 0.53/0.74 (define @t663 () (forall @t532 @t662)) % 0.53/0.74 (define @t664 () (not @t663)) % 0.53/0.74 (define @t665 () (or @t664 @t655)) % 0.53/0.74 (define @t666 () (not @t665)) % 0.53/0.74 (define @t667 () (and @t641 (= @t639 @t654))) % 0.53/0.74 (define @t668 () (or @t642 @t667)) % 0.53/0.74 (define @t669 () (= @t654 @t639)) % 0.53/0.74 (define @t670 () (and @t641 @t669)) % 0.53/0.74 (define @t671 () (or @t642 @t670)) % 0.53/0.74 (define @t672 () (@quantifiers_skolemize (forall @t586 (or @t583 (not (tptp.r3 @t339 @t581 @t339)))) 0)) % 0.53/0.74 (define @t673 () (tptp.r3 @t339 @t672 @t339)) % 0.53/0.74 (define @t674 () (not @t673)) % 0.53/0.74 (define @t675 () (tptp.r1 @t672)) % 0.53/0.74 (define @t676 () (not @t675)) % 0.53/0.74 (define @t677 () (or @t676 @t674)) % 0.53/0.74 (define @t678 () (@list @t677)) % 0.53/0.74 (define @t679 () (and @t675 (= @t672 @t339))) % 0.53/0.74 (define @t680 () (or @t676 @t679)) % 0.53/0.74 (define @t681 () (= @t339 @t672)) % 0.53/0.74 (define @t682 () (and @t675 @t681)) % 0.53/0.74 (define @t683 () (or @t676 @t682)) % 0.53/0.74 (define @t684 () (tptp.r3 @t339 @t339 @t339)) % 0.53/0.74 (define @t685 () (= @t339 @t654)) % 0.53/0.74 (define @t686 () (and @t684 @t685)) % 0.53/0.74 (define @t687 () (not @t684)) % 0.53/0.74 (define @t688 () (or @t687 @t686)) % 0.53/0.74 (define @t689 () (@list @t346 @t346)) % 0.53/0.74 (define @t690 () (tptp.r3 @t346 @t346 @t529)) % 0.53/0.74 (define @t691 () (not @t690)) % 0.53/0.74 (define @t692 () (forall @t42 (or (not (forall @t532 (or @t691 (and @t690 @t530)))) (not (tptp.r3 @t346 @t346 @t29))))) % 0.53/0.74 (define @t693 () (@quantifiers_skolemize @t692 0)) % 0.53/0.74 (define @t694 () (not (tptp.r3 @t346 @t346 @t693))) % 0.53/0.74 (define @t695 () (forall @t532 (or @t691 (and @t690 (= @t529 @t693))))) % 0.53/0.74 (define @t696 () (not @t695)) % 0.53/0.74 (define @t697 () (or @t696 @t694)) % 0.53/0.74 (define @t698 () (not @t697)) % 0.53/0.74 (define @t699 () (not @t692)) % 0.53/0.74 (define @t700 () (and @t690 (= @t693 @t529))) % 0.53/0.74 (define @t701 () (or @t691 @t700)) % 0.53/0.74 (define @t702 () (forall @t532 @t701)) % 0.53/0.74 (define @t703 () (not @t702)) % 0.53/0.74 (define @t704 () (or @t703 @t694)) % 0.53/0.74 (define @t705 () (not @t704)) % 0.53/0.74 (define @t706 () (and @t525 (= @t522 @t346))) % 0.53/0.74 (define @t707 () (or @t526 @t706)) % 0.53/0.74 (define @t708 () (= @t346 @t522)) % 0.53/0.74 (define @t709 () (and @t525 @t708)) % 0.53/0.74 (define @t710 () (or @t526 @t709)) % 0.53/0.74 (define @t711 () (tptp.r3 @t346 @t346 @t455)) % 0.53/0.74 (define @t712 () (= @t455 @t693)) % 0.53/0.74 (define @t713 () (and @t711 @t712)) % 0.53/0.74 (define @t714 () (not @t711)) % 0.53/0.74 (define @t715 () (or @t714 @t713)) % 0.53/0.74 (define @t716 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 0.53/0.74 (define @t717 () (not (tptp.r3 @t716 @t346 @t89))) % 0.53/0.74 (define @t718 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 0.53/0.74 (define @t719 () (not (tptp.r4 @t346 @t718 @t89))) % 0.53/0.74 (define @t720 () (@list @t89 @t718 @t716)) % 0.53/0.74 (define @t721 () (forall @t720 (or (not (tptp.r2 @t346 @t718)) @t719 @t717 (not (tptp.r4 @t346 @t346 @t716))))) % 0.53/0.74 (define @t722 () (@quantifiers_skolemize @t721 0)) % 0.53/0.74 (define @t723 () (tptp.r3 @t346 @t346 @t722)) % 0.53/0.74 (define @t724 () (and @t723 (= @t722 @t693))) % 0.53/0.74 (define @t725 () (not @t723)) % 0.53/0.74 (define @t726 () (or @t725 @t724)) % 0.53/0.74 (define @t727 () (= @t693 @t722)) % 0.53/0.74 (define @t728 () (and @t723 @t727)) % 0.53/0.74 (define @t729 () (or @t725 @t728)) % 0.53/0.74 (define @t730 () (not (tptp.r4 @t87 @t86 @t716))) % 0.53/0.74 (define @t731 () (not (tptp.r3 @t716 @t87 @t89))) % 0.53/0.74 (define @t732 () (not (tptp.r4 @t87 @t718 @t89))) % 0.53/0.74 (define @t733 () (not (tptp.r2 @t86 @t718))) % 0.53/0.74 (define @t734 () (or @t731 @t730)) % 0.53/0.74 (define @t735 () (or @t733 @t732)) % 0.53/0.74 (define @t736 () (or @t735 @t734)) % 0.53/0.74 (define @t737 () (forall @t720 @t736)) % 0.53/0.74 (define @t738 () (forall (@list @t718 @t716) @t736)) % 0.53/0.74 (define @t739 () (forall (@list @t716) @t734)) % 0.53/0.74 (define @t740 () (forall (@list @t718) @t735)) % 0.53/0.74 (define @t741 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 0.53/0.74 (define @t742 () (@list @t741)) % 0.53/0.74 (define @t743 () (or @t740 @t739)) % 0.53/0.74 (define @t744 () (forall @t92 (or (not @t90) (not @t88)))) % 0.53/0.74 (define @t745 () (not (tptp.r4 @t87 @t741 @t89))) % 0.53/0.74 (define @t746 () (not (tptp.r2 @t86 @t741))) % 0.53/0.74 (define @t747 () (or @t746 @t745)) % 0.53/0.74 (define @t748 () (@list @t741)) % 0.53/0.74 (define @t749 () (forall @t748 @t747)) % 0.53/0.74 (define @t750 () (not @t744)) % 0.53/0.74 (define @t751 () (not @t749)) % 0.53/0.74 (define @t752 () (and @t751 @t750)) % 0.53/0.74 (define @t753 () (forall @t106 (not @t752))) % 0.53/0.74 (define @t754 () (not @t753)) % 0.53/0.74 (define @t755 () (forall @t92 (not @t91))) % 0.53/0.74 (define @t756 () (not @t755)) % 0.53/0.74 (define @t757 () (not (= @t89 @t89))) % 0.53/0.74 (define @t758 () (or @t757 @t746 @t745)) % 0.53/0.74 (define @t759 () (not (tptp.r4 @t87 @t741 @t94))) % 0.53/0.74 (define @t760 () (= @t89 @t94)) % 0.53/0.74 (define @t761 () (not @t760)) % 0.53/0.74 (define @t762 () (or @t761 @t761 @t746 @t759)) % 0.53/0.74 (define @t763 () (or @t761 @t746 @t759)) % 0.53/0.74 (define @t764 () (forall @t103 @t763)) % 0.53/0.74 (define @t765 () (forall @t748 @t764)) % 0.53/0.74 (define @t766 () (forall (@list @t741 @t94) @t763)) % 0.53/0.74 (define @t767 () (@list @t94 @t741)) % 0.53/0.74 (define @t768 () (or @t746 @t759)) % 0.53/0.74 (define @t769 () (or @t768 @t761)) % 0.53/0.74 (define @t770 () (forall @t767 @t769)) % 0.53/0.74 (define @t771 () (forall @t748 @t769)) % 0.53/0.74 (define @t772 () (forall @t748 @t768)) % 0.53/0.74 (define @t773 () (or @t772 @t761)) % 0.53/0.74 (define @t774 () (forall @t100 (or (not @t98) (not @t97)))) % 0.53/0.74 (define @t775 () (not @t774)) % 0.53/0.74 (define @t776 () (and @t775 @t760)) % 0.53/0.74 (define @t777 () (forall @t103 (not @t776))) % 0.53/0.74 (define @t778 () (not @t777)) % 0.53/0.74 (define @t779 () (forall @t100 (not @t99))) % 0.53/0.74 (define @t780 () (not @t779)) % 0.53/0.74 (define @t781 () (@quantifiers_skolemize @t721 2)) % 0.53/0.74 (define @t782 () (tptp.r3 @t781 @t346 @t722)) % 0.53/0.74 (define @t783 () (tptp.r4 @t346 @t346 @t781)) % 0.53/0.74 (define @t784 () (not @t783)) % 0.53/0.74 (define @t785 () (not @t782)) % 0.53/0.74 (define @t786 () (@quantifiers_skolemize @t721 1)) % 0.53/0.74 (define @t787 () (tptp.r4 @t346 @t786 @t722)) % 0.53/0.74 (define @t788 () (not @t787)) % 0.53/0.74 (define @t789 () (tptp.r2 @t346 @t786)) % 0.53/0.74 (define @t790 () (not @t789)) % 0.53/0.74 (define @t791 () (or @t790 @t788 @t785 @t784)) % 0.53/0.74 (define @t792 () (@list @t791)) % 0.53/0.74 (define @t793 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 0.53/0.74 (define @t794 () (= @t45 @t793)) % 0.53/0.74 (define @t795 () (tptp.r4 @t49 @t48 @t793)) % 0.53/0.74 (define @t796 () (@list @t793)) % 0.53/0.74 (define @t797 () (forall @t796 (or (not @t795) (and @t795 @t794)))) % 0.53/0.74 (define @t798 () (tptp.r4 @t49 @t48 @t45)) % 0.53/0.74 (define @t799 () (and @t797 @t798)) % 0.53/0.74 (define @t800 () (forall @t58 (not @t799))) % 0.53/0.74 (define @t801 () (not @t800)) % 0.53/0.74 (define @t802 () (= @t45 @t45)) % 0.53/0.74 (define @t803 () (and @t798 @t802)) % 0.53/0.74 (define @t804 () (not @t802)) % 0.53/0.74 (define @t805 () (or @t804 @t803)) % 0.53/0.74 (define @t806 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 0.53/0.74 (define @t807 () (= @t45 @t806)) % 0.53/0.74 (define @t808 () (and (tptp.r4 @t49 @t48 @t806) @t807)) % 0.53/0.74 (define @t809 () (not @t807)) % 0.53/0.74 (define @t810 () (@list @t806)) % 0.53/0.74 (define @t811 () (or @t809 @t809 @t808)) % 0.53/0.74 (define @t812 () (or @t809 @t808)) % 0.53/0.74 (define @t813 () (forall @t810 @t812)) % 0.53/0.74 (define @t814 () (= @t45 @t46)) % 0.53/0.74 (define @t815 () (and @t50 @t814)) % 0.53/0.74 (define @t816 () (not @t814)) % 0.53/0.74 (define @t817 () (or @t816 @t815)) % 0.53/0.74 (define @t818 () (forall @t56 @t817)) % 0.53/0.74 (define @t819 () (@list @t46)) % 0.53/0.74 (define @t820 () (or @t53 @t815)) % 0.53/0.74 (define @t821 () (forall @t56 @t820)) % 0.53/0.74 (define @t822 () (and @t821 @t818)) % 0.53/0.74 (define @t823 () (tptp.r4 @t346 @t346 @t793)) % 0.53/0.74 (define @t824 () (not @t823)) % 0.53/0.74 (define @t825 () (forall @t58 (or (not (forall @t796 (or @t824 (and @t823 @t794)))) (not (tptp.r4 @t346 @t346 @t45))))) % 0.53/0.74 (define @t826 () (@quantifiers_skolemize @t825 0)) % 0.53/0.74 (define @t827 () (not (tptp.r4 @t346 @t346 @t826))) % 0.53/0.74 (define @t828 () (forall @t796 (or @t824 (and @t823 (= @t793 @t826))))) % 0.53/0.74 (define @t829 () (not @t828)) % 0.53/0.74 (define @t830 () (or @t829 @t827)) % 0.53/0.74 (define @t831 () (not @t830)) % 0.53/0.74 (define @t832 () (not @t825)) % 0.53/0.74 (define @t833 () (and @t823 (= @t826 @t793))) % 0.53/0.74 (define @t834 () (or @t824 @t833)) % 0.53/0.74 (define @t835 () (forall @t796 @t834)) % 0.53/0.74 (define @t836 () (not @t835)) % 0.53/0.74 (define @t837 () (or @t836 @t827)) % 0.53/0.74 (define @t838 () (not @t837)) % 0.53/0.74 (define @t839 () (and @t783 (= @t781 @t826))) % 0.53/0.74 (define @t840 () (or @t784 @t839)) % 0.53/0.74 (define @t841 () (= @t826 @t781)) % 0.53/0.74 (define @t842 () (and @t783 @t841)) % 0.53/0.74 (define @t843 () (or @t784 @t842)) % 0.53/0.74 (define @t844 () (forall @t720 (or (not (tptp.r2 @t339 @t718)) @t719 @t717 (not (tptp.r4 @t346 @t339 @t716))))) % 0.53/0.74 (define @t845 () (@quantifiers_skolemize @t844 0)) % 0.53/0.74 (define @t846 () (@list @t845)) % 0.53/0.74 (define @t847 () (@quantifiers_skolemize @t844 1)) % 0.53/0.74 (define @t848 () (tptp.r4 @t346 @t847 @t845)) % 0.53/0.74 (define @t849 () (@quantifiers_skolemize @t844 2)) % 0.53/0.74 (define @t850 () (tptp.r4 @t346 @t339 @t849)) % 0.53/0.74 (define @t851 () (not @t850)) % 0.53/0.74 (define @t852 () (tptp.r3 @t849 @t346 @t845)) % 0.53/0.74 (define @t853 () (not @t852)) % 0.53/0.74 (define @t854 () (not @t848)) % 0.53/0.74 (define @t855 () (tptp.r2 @t339 @t847)) % 0.53/0.74 (define @t856 () (not @t855)) % 0.53/0.74 (define @t857 () (or @t856 @t854 @t853 @t851)) % 0.53/0.74 (define @t858 () (@list @t857)) % 0.53/0.74 (define @t859 () (and @t855 (= @t847 @t346))) % 0.53/0.74 (define @t860 () (or @t856 @t859)) % 0.53/0.74 (define @t861 () (= @t346 @t847)) % 0.53/0.74 (define @t862 () (and @t855 @t861)) % 0.53/0.74 (define @t863 () (or @t856 @t862)) % 0.53/0.74 (define @t864 () (tptp.r4 @t346 @t346 @t845)) % 0.53/0.74 (define @t865 () (= @t845 @t826)) % 0.53/0.74 (define @t866 () (and @t864 @t865)) % 0.53/0.74 (define @t867 () (not @t864)) % 0.53/0.74 (define @t868 () (or @t867 @t866)) % 0.53/0.74 (define @t869 () (tptp.r3 @t339 @t346 @t529)) % 0.53/0.74 (define @t870 () (not @t869)) % 0.53/0.74 (define @t871 () (forall @t42 (or (not (forall @t532 (or @t870 (and @t869 @t530)))) (not (tptp.r3 @t339 @t346 @t29))))) % 0.53/0.74 (define @t872 () (@quantifiers_skolemize @t871 0)) % 0.53/0.74 (define @t873 () (not (tptp.r3 @t339 @t346 @t872))) % 0.53/0.74 (define @t874 () (forall @t532 (or @t870 (and @t869 (= @t529 @t872))))) % 0.53/0.74 (define @t875 () (not @t874)) % 0.53/0.74 (define @t876 () (or @t875 @t873)) % 0.53/0.74 (define @t877 () (not @t876)) % 0.53/0.74 (define @t878 () (not @t871)) % 0.53/0.74 (define @t879 () (and @t869 (= @t872 @t529))) % 0.53/0.74 (define @t880 () (or @t870 @t879)) % 0.53/0.74 (define @t881 () (forall @t532 @t880)) % 0.53/0.74 (define @t882 () (not @t881)) % 0.53/0.74 (define @t883 () (or @t882 @t873)) % 0.53/0.74 (define @t884 () (not @t883)) % 0.53/0.74 (define @t885 () (tptp.r3 @t339 @t346 @t845)) % 0.53/0.74 (define @t886 () (and @t885 (= @t845 @t872))) % 0.53/0.74 (define @t887 () (not @t885)) % 0.53/0.74 (define @t888 () (or @t887 @t886)) % 0.53/0.74 (define @t889 () (= @t872 @t845)) % 0.53/0.74 (define @t890 () (and @t885 @t889)) % 0.53/0.74 (define @t891 () (or @t887 @t890)) % 0.53/0.74 (define @t892 () (tptp.r4 @t346 @t339 @t793)) % 0.53/0.74 (define @t893 () (not @t892)) % 0.53/0.74 (define @t894 () (forall @t58 (or (not (forall @t796 (or @t893 (and @t892 @t794)))) (not (tptp.r4 @t346 @t339 @t45))))) % 0.53/0.74 (define @t895 () (@quantifiers_skolemize @t894 0)) % 0.53/0.74 (define @t896 () (not (tptp.r4 @t346 @t339 @t895))) % 0.53/0.74 (define @t897 () (forall @t796 (or @t893 (and @t892 (= @t793 @t895))))) % 0.53/0.74 (define @t898 () (not @t897)) % 0.53/0.74 (define @t899 () (or @t898 @t896)) % 0.53/0.74 (define @t900 () (not @t899)) % 0.53/0.74 (define @t901 () (not @t894)) % 0.53/0.74 (define @t902 () (and @t892 (= @t895 @t793))) % 0.53/0.74 (define @t903 () (or @t893 @t902)) % 0.53/0.74 (define @t904 () (forall @t796 @t903)) % 0.53/0.74 (define @t905 () (not @t904)) % 0.53/0.74 (define @t906 () (or @t905 @t896)) % 0.53/0.74 (define @t907 () (not @t906)) % 0.53/0.74 (define @t908 () (and @t850 (= @t849 @t895))) % 0.53/0.74 (define @t909 () (or @t851 @t908)) % 0.53/0.74 (define @t910 () (= @t895 @t849)) % 0.53/0.74 (define @t911 () (and @t850 @t910)) % 0.53/0.74 (define @t912 () (or @t851 @t911)) % 0.53/0.74 (define @t913 () (@var "BOUND_VARIABLE_8083" $$unsorted)) % 0.53/0.74 (define @t914 () (not (tptp.r1 @t913))) % 0.53/0.74 (define @t915 () (@list @t127 @t913)) % 0.53/0.74 (define @t916 () (forall @t915 (or @t308 @t914 (not (tptp.r4 @t346 @t913 @t127))))) % 0.53/0.74 (define @t917 () (@quantifiers_skolemize @t916 0)) % 0.53/0.74 (define @t918 () (@list @t917)) % 0.53/0.74 (define @t919 () (not (tptp.r4 @t134 @t913 @t127))) % 0.53/0.74 (define @t920 () (or @t914 @t919)) % 0.53/0.74 (define @t921 () (or @t920 @t308)) % 0.53/0.74 (define @t922 () (forall @t915 @t921)) % 0.53/0.74 (define @t923 () (@list @t913)) % 0.53/0.74 (define @t924 () (forall @t923 @t921)) % 0.53/0.74 (define @t925 () (forall @t923 @t920)) % 0.53/0.74 (define @t926 () (or @t925 @t308)) % 0.53/0.74 (define @t927 () (forall @t138 (or (not @t136) (not @t135)))) % 0.53/0.74 (define @t928 () (not @t927)) % 0.53/0.74 (define @t929 () (and @t928 @t161)) % 0.53/0.74 (define @t930 () (forall @t141 (not @t929))) % 0.53/0.74 (define @t931 () (not @t930)) % 0.53/0.74 (define @t932 () (not (= @t127 @t127))) % 0.53/0.74 (define @t933 () (or @t308 @t932)) % 0.53/0.74 (define @t934 () (not @t128)) % 0.53/0.74 (define @t935 () (not @t129)) % 0.53/0.74 (define @t936 () (or @t934 @t935 @t934)) % 0.53/0.74 (define @t937 () (or @t935 @t934)) % 0.53/0.74 (define @t938 () (forall @t131 (not @t130))) % 0.53/0.74 (define @t939 () (not @t938)) % 0.53/0.74 (define @t940 () (forall @t138 (not @t137))) % 0.53/0.74 (define @t941 () (not @t940)) % 0.53/0.74 (define @t942 () (@quantifiers_skolemize @t916 1)) % 0.53/0.74 (define @t943 () (tptp.r4 @t346 @t942 @t917)) % 0.53/0.74 (define @t944 () (not @t943)) % 0.53/0.74 (define @t945 () (tptp.r1 @t942)) % 0.53/0.74 (define @t946 () (not @t945)) % 0.53/0.74 (define @t947 () (tptp.r1 @t917)) % 0.53/0.74 (define @t948 () (not @t947)) % 0.53/0.74 (define @t949 () (or @t948 @t946 @t944)) % 0.53/0.74 (define @t950 () (@list @t949)) % 0.53/0.74 (define @t951 () (and @t945 (= @t942 @t339))) % 0.53/0.74 (define @t952 () (or @t946 @t951)) % 0.53/0.74 (define @t953 () (= @t339 @t942)) % 0.53/0.74 (define @t954 () (and @t945 @t953)) % 0.53/0.74 (define @t955 () (or @t946 @t954)) % 0.53/0.74 (define @t956 () (tptp.r4 @t346 @t339 @t917)) % 0.53/0.74 (define @t957 () (= @t917 @t895)) % 0.53/0.74 (define @t958 () (and @t956 @t957)) % 0.53/0.74 (define @t959 () (not @t956)) % 0.53/0.74 (define @t960 () (or @t959 @t958)) % 0.53/0.74 (define @t961 () (and @t947 (= @t917 @t339))) % 0.53/0.74 (define @t962 () (or @t948 @t961)) % 0.53/0.74 (define @t963 () (= @t339 @t917)) % 0.53/0.74 (define @t964 () (and @t947 @t963)) % 0.53/0.74 (define @t965 () (or @t948 @t964)) % 0.53/0.74 (define @t966 () (and @t647 (= @t644 @t346))) % 0.53/0.74 (define @t967 () (or @t648 @t966)) % 0.53/0.74 (define @t968 () (= @t346 @t644)) % 0.53/0.74 (define @t969 () (and @t647 @t968)) % 0.53/0.74 (define @t970 () (or @t648 @t969)) % 0.53/0.74 (define @t971 () (tptp.r3 @t339 @t346 @t628)) % 0.53/0.74 (define @t972 () (= @t628 @t872)) % 0.53/0.74 (define @t973 () (and @t971 @t972)) % 0.53/0.74 (define @t974 () (not @t971)) % 0.53/0.74 (define @t975 () (or @t974 @t973)) % 0.53/0.74 (define @t976 () (and @t789 (= @t786 @t350))) % 0.53/0.74 (define @t977 () (or @t790 @t976)) % 0.53/0.74 (define @t978 () (= @t350 @t786)) % 0.53/0.74 (define @t979 () (and @t789 @t978)) % 0.53/0.74 (define @t980 () (or @t790 @t979)) % 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 @t60) % 0.53/0.74 (assume @p5 @t84) % 0.53/0.74 (assume @p6 @t108) % 0.53/0.74 (assume @p7 (forall (@list @t110 @t109) (or (forall (@list @t111) (or (forall (@list @t112) (or (not (tptp.r2 @t110 @t112)) (not (= @t112 @t111)))) (not (tptp.r2 @t109 @t111)))) (= @t110 @t109)))) % 0.53/0.74 (assume @p8 @t125) % 0.53/0.74 (assume @p9 @t143) % 0.53/0.74 (assume @p10 (forall (@list @t145) (or (exists (@list @t147) (and (tptp.r1 @t147) (= @t145 @t147))) (exists (@list @t146 @t144) (and (tptp.r2 @t146 @t144) (= @t145 @t144)))))) % 0.53/0.74 (assume @p11 (forall (@list @t149 @t148) (or (forall (@list @t150) (or (not (tptp.r1 @t150)) (not (= @t150 @t148)))) (not (tptp.r2 @t149 @t148))))) % 0.53/0.74 (assume @p12 @t178) % 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 @t196 @t195))) % 0.53/0.74 (step @p16 :rule aci_norm :args ((= @t199 @t195))) % 0.53/0.74 (step @p17 :rule cong :premises (@p16) :args (@t200)) % 0.53/0.74 (step @p18 :rule quant-merge-prenex :args ((= (forall @t176 @t201) @t200))) % 0.53/0.74 (step @p19 :rule alpha_equiv :args (@t202 (@list @t179 @t180) @t205)) % 0.53/0.74 (step @p20 :rule alpha_equiv :args (@t206 (@list @t188 @t190 @t191 @t184 @t185) (@list @t89 @t210 @t209 @t208 @t207))) % 0.53/0.74 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t211)) % 0.53/0.74 (step @p22 :rule quant-miniscope-or :args ((= @t201 @t211))) % 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 @t176 (or @t226 @t217)))) % 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 (@t217)) % 0.53/0.74 (step @p29 :rule bool-double-not-elim :args (@t226)) % 0.53/0.74 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t228) (not @t227)))) % 0.53/0.74 (step @p31 :rule bool-and-de-morgan :args (@t228 @t227 true)) % 0.53/0.74 (step @p32 :rule trans :premises (@p31 @p30)) % 0.53/0.74 (step @p33 :rule cong :premises (@p32) :args (@t230)) % 0.53/0.74 (step @p34 :rule trans :premises (@p33 @p27)) % 0.53/0.74 (step @p35 :rule cong :premises (@p34) :args (@t231)) % 0.53/0.74 (step @p36 :rule exists-elim :args ((= (exists @t176 @t229) @t231))) % 0.53/0.74 (step @p37 :rule trans :premises (@p36 @p35)) % 0.53/0.74 (step @p38 :rule aci_norm :args ((= (or false @t214 @t213 @t212) @t215))) % 0.53/0.74 (step @p39 :rule refl :args (@t212)) % 0.53/0.74 (step @p40 :rule refl :args (@t213)) % 0.53/0.74 (step @p41 :rule refl :args (@t214)) % 0.53/0.74 (step @p42 :rule evaluate :args ((not true))) % 0.53/0.74 (step @p43 :rule eq-refl :args (@t146)) % 0.53/0.74 (step @p44 :rule cong :premises (@p43) :args (@t232)) % 0.53/0.74 (step @p45 :rule trans :premises (@p44 @p42)) % 0.53/0.74 (step @p46 :rule nary_cong :premises (@p45 @p41 @p40 @p39) :args (@t233)) % 0.53/0.74 (step @p47 :rule trans :premises (@p46 @p38)) % 0.53/0.74 (step @p48 :rule cong :premises (@p47) :args ((forall @t216 @t233))) % 0.53/0.74 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t103 @t237) @t233))) % 0.53/0.74 (step @p50 :rule aci_norm :args ((= @t238 @t237))) % 0.53/0.74 (step @p51 :rule cong :premises (@p50) :args (@t239)) % 0.53/0.74 (step @p52 :rule trans :premises (@p51 @p49)) % 0.53/0.74 (step @p53 :rule cong :premises (@p52) :args (@t240)) % 0.53/0.74 (step @p54 :rule quant-merge-prenex :args ((= @t240 @t241))) % 0.53/0.74 (step @p55 :rule symm :premises (@p54)) % 0.53/0.74 (step @p56 :rule quant_var_reordering :args ((= (forall @t242 @t238) @t241))) % 0.53/0.74 (step @p57 :rule trans :premises (@p56 @p55 @p53)) % 0.53/0.74 (step @p58 :rule trans :premises (@p57 @p48)) % 0.53/0.74 (step @p59 :rule aci_norm :args ((= @t244 @t238))) % 0.53/0.74 (step @p60 :rule cong :premises (@p59) :args (@t245)) % 0.53/0.74 (step @p61 :rule trans :premises (@p60 @p58)) % 0.53/0.74 (step @p62 :rule quant-merge-prenex :args ((= (forall @t103 @t246) @t245))) % 0.53/0.74 (step @p63 :rule alpha_equiv :args (@t247 @t205 (@list @t85 @t248))) % 0.53/0.74 (step @p64 :rule refl :args (@t236)) % 0.53/0.74 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t249)) % 0.53/0.74 (step @p66 :rule quant-miniscope-or :args ((= @t246 @t249))) % 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 @t103 (or @t236 @t255)))) % 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 (@t255)) % 0.53/0.74 (step @p73 :rule nary_cong :premises (@p64 @p72) :args ((or @t236 (not @t256)))) % 0.53/0.74 (step @p74 :rule bool-and-de-morgan :args (@t235 @t256 true)) % 0.53/0.74 (step @p75 :rule trans :premises (@p74 @p73)) % 0.53/0.74 (step @p76 :rule cong :premises (@p75) :args (@t258)) % 0.53/0.74 (step @p77 :rule trans :premises (@p76 @p71)) % 0.53/0.74 (step @p78 :rule cong :premises (@p77) :args (@t259)) % 0.53/0.74 (step @p79 :rule exists-elim :args ((= (exists @t103 @t257) @t259))) % 0.53/0.74 (step @p80 :rule trans :premises (@p79 @p78)) % 0.53/0.74 (step @p81 :rule aci_norm :args ((= @t261 @t253))) % 0.53/0.74 (step @p82 :rule cong :premises (@p81) :args (@t262)) % 0.53/0.74 (step @p83 :rule quant-merge-prenex :args ((= (forall @t92 @t264) @t262))) % 0.53/0.74 (step @p84 :rule alpha_equiv :args (@t265 (@list @t248) (@list @t114))) % 0.53/0.74 (step @p85 :rule refl :args (@t252)) % 0.53/0.74 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t266)) % 0.53/0.74 (step @p87 :rule quant-miniscope-or :args ((= @t264 @t266))) % 0.53/0.74 (step @p88 :rule trans :premises (@p87 @p86)) % 0.53/0.74 (step @p89 :rule symm :premises (@p88)) % 0.53/0.74 (step @p90 :rule cong :premises (@p89) :args ((forall @t92 (or @t252 @t267)))) % 0.53/0.74 (step @p91 :rule trans :premises (@p90 @p83)) % 0.53/0.74 (step @p92 :rule trans :premises (@p91 @p82)) % 0.53/0.74 (step @p93 :rule bool-double-not-elim :args (@t267)) % 0.53/0.74 (step @p94 :rule nary_cong :premises (@p85 @p93) :args ((or @t252 (not @t268)))) % 0.53/0.74 (step @p95 :rule bool-and-de-morgan :args (@t155 @t268 true)) % 0.53/0.74 (step @p96 :rule trans :premises (@p95 @p94)) % 0.53/0.74 (step @p97 :rule cong :premises (@p96) :args (@t270)) % 0.53/0.74 (step @p98 :rule trans :premises (@p97 @p92)) % 0.53/0.74 (step @p99 :rule cong :premises (@p98) :args (@t271)) % 0.53/0.74 (step @p100 :rule exists-elim :args ((= (exists @t92 @t269) @t271))) % 0.53/0.74 (step @p101 :rule trans :premises (@p100 @p99)) % 0.53/0.74 (step @p102 :rule bool-and-de-morgan :args (@t152 @t151 true)) % 0.53/0.74 (step @p103 :rule cong :premises (@p102) :args (@t272)) % 0.53/0.74 (step @p104 :rule cong :premises (@p103) :args (@t273)) % 0.53/0.74 (step @p105 :rule exists-elim :args ((= @t154 @t273))) % 0.53/0.74 (step @p106 :rule trans :premises (@p105 @p104)) % 0.53/0.74 (step @p107 :rule refl :args (@t155)) % 0.53/0.74 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t156)) % 0.53/0.74 (step @p109 :rule cong :premises (@p108) :args (@t157)) % 0.53/0.74 (step @p110 :rule trans :premises (@p109 @p101)) % 0.53/0.74 (step @p111 :rule eq-symm :args (@t146 @t94)) % 0.53/0.74 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t158)) % 0.53/0.74 (step @p113 :rule cong :premises (@p112) :args (@t159)) % 0.53/0.74 (step @p114 :rule trans :premises (@p113 @p80)) % 0.53/0.74 (step @p115 :rule aci_norm :args ((= @t276 @t224))) % 0.53/0.74 (step @p116 :rule cong :premises (@p115) :args (@t277)) % 0.53/0.74 (step @p117 :rule quant-merge-prenex :args ((= (forall @t106 @t278) @t277))) % 0.53/0.74 (step @p118 :rule alpha_equiv :args (@t279 (@list @t208 @t207) (@list @t70 @t280))) % 0.53/0.74 (step @p119 :rule alpha_equiv :args (@t281 (@list @t210 @t209) (@list @t65 @t282))) % 0.53/0.74 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t283)) % 0.53/0.74 (step @p121 :rule quant-miniscope-or :args ((= @t278 @t283))) % 0.53/0.74 (step @p122 :rule trans :premises (@p121 @p120)) % 0.53/0.74 (step @p123 :rule symm :premises (@p122)) % 0.53/0.74 (step @p124 :rule cong :premises (@p123) :args ((forall @t106 (or @t295 @t289)))) % 0.53/0.74 (step @p125 :rule trans :premises (@p124 @p117)) % 0.53/0.74 (step @p126 :rule trans :premises (@p125 @p116)) % 0.53/0.74 (step @p127 :rule bool-double-not-elim :args (@t289)) % 0.53/0.74 (step @p128 :rule bool-double-not-elim :args (@t295)) % 0.53/0.74 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t297) (not @t296)))) % 0.53/0.74 (step @p130 :rule bool-and-de-morgan :args (@t297 @t296 true)) % 0.53/0.74 (step @p131 :rule trans :premises (@p130 @p129)) % 0.53/0.74 (step @p132 :rule cong :premises (@p131) :args (@t299)) % 0.53/0.74 (step @p133 :rule trans :premises (@p132 @p126)) % 0.53/0.74 (step @p134 :rule cong :premises (@p133) :args (@t300)) % 0.53/0.74 (step @p135 :rule exists-elim :args ((= (exists @t106 @t298) @t300))) % 0.53/0.74 (step @p136 :rule trans :premises (@p135 @p134)) % 0.53/0.74 (step @p137 :rule aci_norm :args ((= @t302 @t287))) % 0.53/0.74 (step @p138 :rule cong :premises (@p137) :args (@t303)) % 0.53/0.74 (step @p139 :rule quant-merge-prenex :args ((= (forall @t79 @t305) @t303))) % 0.53/0.74 (step @p140 :rule alpha_equiv :args (@t306 (@list @t280) (@list @t127))) % 0.53/0.74 (step @p141 :rule refl :args (@t286)) % 0.53/0.74 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t307)) % 0.53/0.74 (step @p143 :rule quant-miniscope-or :args ((= @t305 @t307))) % 0.53/0.74 (step @p144 :rule trans :premises (@p143 @p142)) % 0.53/0.74 (step @p145 :rule symm :premises (@p144)) % 0.53/0.74 (step @p146 :rule cong :premises (@p145) :args ((forall @t79 (or @t286 @t309)))) % 0.53/0.74 (step @p147 :rule trans :premises (@p146 @p139)) % 0.53/0.74 (step @p148 :rule trans :premises (@p147 @p138)) % 0.53/0.74 (step @p149 :rule bool-double-not-elim :args (@t309)) % 0.53/0.74 (step @p150 :rule nary_cong :premises (@p141 @p149) :args ((or @t286 (not @t310)))) % 0.53/0.74 (step @p151 :rule bool-and-de-morgan :args (@t164 @t310 true)) % 0.53/0.74 (step @p152 :rule trans :premises (@p151 @p150)) % 0.53/0.74 (step @p153 :rule cong :premises (@p152) :args (@t312)) % 0.53/0.74 (step @p154 :rule trans :premises (@p153 @p148)) % 0.53/0.74 (step @p155 :rule cong :premises (@p154) :args (@t313)) % 0.53/0.74 (step @p156 :rule exists-elim :args ((= (exists @t79 @t311) @t313))) % 0.53/0.74 (step @p157 :rule trans :premises (@p156 @p155)) % 0.53/0.74 (step @p158 :rule bool-and-de-morgan :args (@t161 @t160 true)) % 0.53/0.74 (step @p159 :rule cong :premises (@p158) :args (@t314)) % 0.53/0.74 (step @p160 :rule cong :premises (@p159) :args (@t315)) % 0.53/0.74 (step @p161 :rule exists-elim :args ((= @t163 @t315))) % 0.53/0.74 (step @p162 :rule trans :premises (@p161 @p160)) % 0.53/0.74 (step @p163 :rule refl :args (@t164)) % 0.53/0.74 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t165)) % 0.53/0.74 (step @p165 :rule cong :premises (@p164) :args (@t166)) % 0.53/0.74 (step @p166 :rule trans :premises (@p165 @p157)) % 0.53/0.74 (step @p167 :rule aci_norm :args ((= @t317 @t293))) % 0.53/0.74 (step @p168 :rule cong :premises (@p167) :args (@t318)) % 0.53/0.74 (step @p169 :rule quant-merge-prenex :args ((= (forall @t82 @t320) @t318))) % 0.53/0.74 (step @p170 :rule alpha_equiv :args (@t321 (@list @t282) @t322)) % 0.53/0.74 (step @p171 :rule refl :args (@t292)) % 0.53/0.74 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t323)) % 0.53/0.74 (step @p173 :rule quant-miniscope-or :args ((= @t320 @t323))) % 0.53/0.74 (step @p174 :rule trans :premises (@p173 @p172)) % 0.53/0.74 (step @p175 :rule symm :premises (@p174)) % 0.53/0.74 (step @p176 :rule cong :premises (@p175) :args ((forall @t82 (or @t292 @t325)))) % 0.53/0.74 (step @p177 :rule trans :premises (@p176 @p169)) % 0.53/0.74 (step @p178 :rule trans :premises (@p177 @p168)) % 0.53/0.74 (step @p179 :rule bool-double-not-elim :args (@t325)) % 0.53/0.74 (step @p180 :rule nary_cong :premises (@p171 @p179) :args ((or @t292 (not @t326)))) % 0.53/0.74 (step @p181 :rule bool-and-de-morgan :args (@t170 @t326 true)) % 0.53/0.74 (step @p182 :rule trans :premises (@p181 @p180)) % 0.53/0.74 (step @p183 :rule cong :premises (@p182) :args (@t328)) % 0.53/0.74 (step @p184 :rule trans :premises (@p183 @p178)) % 0.53/0.74 (step @p185 :rule cong :premises (@p184) :args (@t329)) % 0.53/0.74 (step @p186 :rule exists-elim :args ((= (exists @t82 @t327) @t329))) % 0.53/0.74 (step @p187 :rule trans :premises (@p186 @p185)) % 0.53/0.74 (step @p188 :rule bool-and-de-morgan :args (@t167 @t66 true)) % 0.53/0.74 (step @p189 :rule cong :premises (@p188) :args (@t330)) % 0.53/0.74 (step @p190 :rule cong :premises (@p189) :args (@t331)) % 0.53/0.74 (step @p191 :rule exists-elim :args ((= @t169 @t331))) % 0.53/0.74 (step @p192 :rule trans :premises (@p191 @p190)) % 0.53/0.74 (step @p193 :rule refl :args (@t170)) % 0.53/0.74 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t171)) % 0.53/0.74 (step @p195 :rule cong :premises (@p194) :args (@t172)) % 0.53/0.74 (step @p196 :rule trans :premises (@p195 @p187)) % 0.53/0.74 (step @p197 :rule nary_cong :premises (@p196 @p166) :args (@t173)) % 0.53/0.74 (step @p198 :rule cong :premises (@p197) :args (@t174)) % 0.53/0.74 (step @p199 :rule trans :premises (@p198 @p136)) % 0.53/0.74 (step @p200 :rule nary_cong :premises (@p199 @p114) :args (@t175)) % 0.53/0.74 (step @p201 :rule cong :premises (@p200) :args (@t177)) % 0.53/0.74 (step @p202 :rule trans :premises (@p201 @p37)) % 0.53/0.74 (step @p203 :rule cong :premises (@p202) :args (@t178)) % 0.53/0.74 (step @p204 :rule trans :premises (@p203 @p15)) % 0.53/0.74 (step @p205 :rule eq_resolve :premises (@p12 @p204)) % 0.53/0.74 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t350 @t350 @t346 @t339 @t346 @t339 @t346 @t339))) % 0.53/0.74 (step @p207 :rule bool-and-de-morgan :args (@t352 @t353 true)) % 0.53/0.74 (step @p208 :rule cong :premises (@p207) :args (@t355)) % 0.53/0.74 (step @p209 :rule cong :premises (@p208) :args (@t356)) % 0.53/0.74 (step @p210 :rule exists-elim :args ((= (exists @t26 @t354) @t356))) % 0.53/0.74 (step @p211 :rule trans :premises (@p210 @p209)) % 0.53/0.74 (step @p212 :rule aci_norm :args ((= (or false @t353) @t353))) % 0.53/0.74 (step @p213 :rule aci_norm :args ((= (and @t353 true) @t353))) % 0.53/0.74 (step @p214 :rule eq-refl :args (@t14)) % 0.53/0.74 (step @p215 :rule refl :args (@t353)) % 0.53/0.74 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t358)) % 0.53/0.74 (step @p217 :rule trans :premises (@p216 @p213)) % 0.53/0.74 (step @p218 :rule cong :premises (@p214) :args (@t359)) % 0.53/0.74 (step @p219 :rule trans :premises (@p218 @p42)) % 0.53/0.74 (step @p220 :rule nary_cong :premises (@p219 @p217) :args (@t360)) % 0.53/0.74 (step @p221 :rule trans :premises (@p220 @p212)) % 0.53/0.74 (step @p222 :rule quant-var-elim-eq :args ((= (forall @t365 (or (not (= @t361 @t14)) @t364 @t363)) @t360))) % 0.53/0.74 (step @p223 :rule refl :args (@t363)) % 0.53/0.74 (step @p224 :rule refl :args (@t364)) % 0.53/0.74 (step @p225 :rule eq-symm :args (@t14 @t361)) % 0.53/0.74 (step @p226 :rule cong :premises (@p225) :args (@t364)) % 0.53/0.74 (step @p227 :rule nary_cong :premises (@p226 @p224 @p223) :args (@t366)) % 0.53/0.74 (step @p228 :rule aci_norm :args ((= @t367 @t366))) % 0.53/0.74 (step @p229 :rule trans :premises (@p228 @p227)) % 0.53/0.74 (step @p230 :rule cong :premises (@p229) :args (@t368)) % 0.53/0.74 (step @p231 :rule trans :premises (@p230 @p222)) % 0.53/0.74 (step @p232 :rule trans :premises (@p231 @p221)) % 0.53/0.74 (step @p233 :rule refl :args (@t352)) % 0.53/0.74 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((and @t352 @t368))) % 0.53/0.74 (step @p235 :rule alpha_equiv :args (@t373 @t374 (@list @t361))) % 0.53/0.74 (step @p236 :rule alpha_equiv :args (@t376 @t374 (@list @t340))) % 0.53/0.74 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t377)) % 0.53/0.74 (step @p238 :rule quant-miniscope-and :args ((= (forall @t24 (and @t375 @t372)) @t377))) % 0.53/0.74 (step @p239 :rule trans :premises (@p238 @p237)) % 0.53/0.74 (step @p240 :rule trans :premises (@p239 @p234)) % 0.53/0.74 (step @p241 :rule bool-or-and-distrib :args (@t21 @t371 true @t370 false)) % 0.53/0.74 (step @p242 :rule cong :premises (@p241) :args ((forall @t24 (or (and @t21 @t371) @t370)))) % 0.53/0.74 (step @p243 :rule trans :premises (@p242 @p240)) % 0.53/0.74 (step @p244 :rule eq-symm :args (@t15 @t14)) % 0.53/0.74 (step @p245 :rule refl :args (@t18)) % 0.53/0.74 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t19)) % 0.53/0.74 (step @p247 :rule cong :premises (@p244) :args (@t20)) % 0.53/0.74 (step @p248 :rule refl :args (@t21)) % 0.53/0.74 (step @p249 :rule nary_cong :premises (@p248 @p247) :args (@t22)) % 0.53/0.74 (step @p250 :rule nary_cong :premises (@p249 @p246) :args (@t23)) % 0.53/0.74 (step @p251 :rule cong :premises (@p250) :args (@t25)) % 0.53/0.74 (step @p252 :rule trans :premises (@p251 @p243)) % 0.53/0.74 (step @p253 :rule cong :premises (@p252) :args (@t27)) % 0.53/0.74 (step @p254 :rule trans :premises (@p253 @p211)) % 0.53/0.74 (step @p255 :rule cong :premises (@p254) :args (@t28)) % 0.53/0.74 (step @p256 :rule eq_resolve :premises (@p2 @p255)) % 0.53/0.74 (step @p257 :rule instantiate :premises (@p256) :args (@t378)) % 0.53/0.74 (step @p258 :rule refl :args (@t384)) % 0.53/0.74 (step @p259 :rule bool-double-not-elim :args (@t349)) % 0.53/0.74 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or (not @t385) @t384))) % 0.53/0.74 (step @p261 :rule refl :args (@t380)) % 0.53/0.74 (step @p262 :rule eq-symm :args (@t350 @t340)) % 0.53/0.74 (step @p263 :rule refl :args (@t347)) % 0.53/0.74 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t386)) % 0.53/0.74 (step @p265 :rule refl :args (@t348)) % 0.53/0.74 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t387)) % 0.53/0.74 (step @p267 :rule cong :premises (@p266) :args (@t388)) % 0.53/0.74 (step @p268 :rule cong :premises (@p267) :args (@t389)) % 0.53/0.74 (step @p269 :rule nary_cong :premises (@p268 @p261) :args (@t390)) % 0.53/0.74 (step @p270 :rule cong :premises (@p269) :args (@t391)) % 0.53/0.74 (step @p271 :rule refl :args (@t385)) % 0.53/0.74 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t385 @t391))) % 0.53/0.74 (assume-push @p1575 @t385) % 0.53/0.74 (step @p274 :rule skolemize :premises (@p257)) % 0.53/0.74 (step-pop @p1576 :rule scope :premises (@p274)) % 0.53/0.74 (step @p275 :rule process_scope :premises (@p1576) :args (@t391)) % 0.53/0.74 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 0.53/0.74 (step @p278 :rule implies_elim :premises (@p277)) % 0.53/0.74 (step @p279 :rule eq_resolve :premises (@p278 @p260)) % 0.53/0.74 (step @p280 :rule chain_m_resolution :premises (@p279 @p257) :args (@t384 @t392 (@list @t349))) % 0.53/0.74 (step @p281 :rule bool-double-not-elim :args (@t379)) % 0.53/0.74 (step @p282 :rule refl :args (@t383)) % 0.53/0.74 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t383 (not @t380)))) % 0.53/0.74 (step @p284 :rule cnf_or_neg :args (@t383 1)) % 0.53/0.74 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 0.53/0.74 (step @p286 :rule reordering :premises (@p285) :args ((or @t379 @t383))) % 0.53/0.74 (step @p287 :rule chain_m_resolution :premises (@p286 @p280) :args (@t379 @t392 @t393)) % 0.53/0.74 (step @p288 :rule instantiate :premises (@p256) :args (@t394)) % 0.53/0.74 (step @p289 :rule refl :args (@t400)) % 0.53/0.74 (step @p290 :rule bool-double-not-elim :args (@t345)) % 0.53/0.74 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or (not @t401) @t400))) % 0.53/0.74 (step @p292 :rule refl :args (@t396)) % 0.53/0.74 (step @p293 :rule eq-symm :args (@t346 @t340)) % 0.53/0.74 (step @p294 :rule refl :args (@t342)) % 0.53/0.74 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t402)) % 0.53/0.74 (step @p296 :rule refl :args (@t343)) % 0.53/0.74 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t403)) % 0.53/0.74 (step @p298 :rule cong :premises (@p297) :args (@t404)) % 0.53/0.74 (step @p299 :rule cong :premises (@p298) :args (@t405)) % 0.53/0.74 (step @p300 :rule nary_cong :premises (@p299 @p292) :args (@t406)) % 0.53/0.74 (step @p301 :rule cong :premises (@p300) :args (@t407)) % 0.53/0.74 (step @p302 :rule refl :args (@t401)) % 0.53/0.74 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t401 @t407))) % 0.53/0.74 (assume-push @p1577 @t401) % 0.53/0.74 (step @p305 :rule skolemize :premises (@p288)) % 0.53/0.74 (step-pop @p1578 :rule scope :premises (@p305)) % 0.53/0.74 (step @p306 :rule process_scope :premises (@p1578) :args (@t407)) % 0.53/0.74 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 0.53/0.74 (step @p309 :rule implies_elim :premises (@p308)) % 0.53/0.74 (step @p310 :rule eq_resolve :premises (@p309 @p291)) % 0.53/0.74 (step @p311 :rule chain_m_resolution :premises (@p310 @p288) :args (@t400 @t392 (@list @t345))) % 0.53/0.74 (step @p312 :rule bool-double-not-elim :args (@t395)) % 0.53/0.74 (step @p313 :rule refl :args (@t399)) % 0.53/0.74 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t399 (not @t396)))) % 0.53/0.74 (step @p315 :rule cnf_or_neg :args (@t399 1)) % 0.53/0.74 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 0.53/0.74 (step @p317 :rule reordering :premises (@p316) :args ((or @t395 @t399))) % 0.53/0.74 (step @p318 :rule chain_m_resolution :premises (@p317 @p311) :args (@t395 @t392 @t408)) % 0.53/0.74 (step @p319 :rule bool-and-de-morgan :args (@t337 @t332 true)) % 0.53/0.74 (step @p320 :rule cong :premises (@p319) :args (@t410)) % 0.53/0.74 (step @p321 :rule cong :premises (@p320) :args (@t411)) % 0.53/0.74 (step @p322 :rule exists-elim :args ((= (exists @t12 @t409) @t411))) % 0.53/0.74 (step @p323 :rule trans :premises (@p322 @p321)) % 0.53/0.74 (step @p324 :rule aci_norm :args ((= (or false @t332) @t332))) % 0.53/0.74 (step @p325 :rule aci_norm :args ((= (and @t332 true) @t332))) % 0.53/0.74 (step @p326 :rule eq-refl :args (@t1)) % 0.53/0.74 (step @p327 :rule refl :args (@t332)) % 0.53/0.74 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t413)) % 0.53/0.74 (step @p329 :rule trans :premises (@p328 @p325)) % 0.53/0.74 (step @p330 :rule cong :premises (@p326) :args (@t414)) % 0.53/0.74 (step @p331 :rule trans :premises (@p330 @p42)) % 0.53/0.74 (step @p332 :rule nary_cong :premises (@p331 @p329) :args (@t415)) % 0.53/0.74 (step @p333 :rule trans :premises (@p332 @p324)) % 0.53/0.74 (step @p334 :rule quant-var-elim-eq :args ((= (forall @t420 (or (not (= @t416 @t1)) @t419 @t418)) @t415))) % 0.53/0.74 (step @p335 :rule refl :args (@t418)) % 0.53/0.74 (step @p336 :rule refl :args (@t419)) % 0.53/0.74 (step @p337 :rule eq-symm :args (@t1 @t416)) % 0.53/0.74 (step @p338 :rule cong :premises (@p337) :args (@t419)) % 0.53/0.74 (step @p339 :rule nary_cong :premises (@p338 @p336 @p335) :args (@t421)) % 0.53/0.74 (step @p340 :rule aci_norm :args ((= @t422 @t421))) % 0.53/0.74 (step @p341 :rule trans :premises (@p340 @p339)) % 0.53/0.74 (step @p342 :rule cong :premises (@p341) :args (@t423)) % 0.53/0.74 (step @p343 :rule trans :premises (@p342 @p334)) % 0.53/0.74 (step @p344 :rule trans :premises (@p343 @p333)) % 0.53/0.74 (step @p345 :rule refl :args (@t337)) % 0.53/0.74 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((and @t337 @t423))) % 0.53/0.74 (step @p347 :rule alpha_equiv :args (@t428 @t429 (@list @t416))) % 0.53/0.74 (step @p348 :rule alpha_equiv :args (@t431 @t429 (@list @t333))) % 0.53/0.74 (step @p349 :rule nary_cong :premises (@p348 @p347) :args (@t432)) % 0.53/0.74 (step @p350 :rule quant-miniscope-and :args ((= (forall @t10 (and @t430 @t427)) @t432))) % 0.53/0.74 (step @p351 :rule trans :premises (@p350 @p349)) % 0.53/0.74 (step @p352 :rule trans :premises (@p351 @p346)) % 0.53/0.74 (step @p353 :rule bool-or-and-distrib :args (@t7 @t426 true @t425 false)) % 0.53/0.74 (step @p354 :rule cong :premises (@p353) :args ((forall @t10 (or (and @t7 @t426) @t425)))) % 0.53/0.74 (step @p355 :rule trans :premises (@p354 @p352)) % 0.53/0.74 (step @p356 :rule eq-symm :args (@t2 @t1)) % 0.53/0.74 (step @p357 :rule refl :args (@t4)) % 0.53/0.74 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t5)) % 0.53/0.74 (step @p359 :rule cong :premises (@p356) :args (@t6)) % 0.53/0.74 (step @p360 :rule refl :args (@t7)) % 0.53/0.74 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t8)) % 0.53/0.74 (step @p362 :rule nary_cong :premises (@p361 @p358) :args (@t9)) % 0.53/0.74 (step @p363 :rule cong :premises (@p362) :args (@t11)) % 0.53/0.74 (step @p364 :rule trans :premises (@p363 @p355)) % 0.53/0.74 (step @p365 :rule cong :premises (@p364) :args (@t13)) % 0.53/0.74 (step @p366 :rule trans :premises (@p365 @p323)) % 0.53/0.74 (step @p367 :rule eq_resolve :premises (@p1 @p366)) % 0.53/0.74 (step @p368 :rule refl :args (@t438)) % 0.53/0.74 (step @p369 :rule bool-double-not-elim :args (@t338)) % 0.53/0.74 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or (not @t439) @t438))) % 0.53/0.74 (step @p371 :rule refl :args (@t434)) % 0.53/0.74 (step @p372 :rule eq-symm :args (@t339 @t333)) % 0.53/0.74 (step @p373 :rule refl :args (@t334)) % 0.53/0.74 (step @p374 :rule nary_cong :premises (@p373 @p372) :args (@t440)) % 0.53/0.74 (step @p375 :rule refl :args (@t335)) % 0.53/0.74 (step @p376 :rule nary_cong :premises (@p375 @p374) :args (@t441)) % 0.53/0.74 (step @p377 :rule cong :premises (@p376) :args (@t442)) % 0.53/0.74 (step @p378 :rule cong :premises (@p377) :args (@t443)) % 0.53/0.74 (step @p379 :rule nary_cong :premises (@p378 @p371) :args (@t444)) % 0.53/0.74 (step @p380 :rule cong :premises (@p379) :args (@t445)) % 0.53/0.74 (step @p381 :rule refl :args (@t439)) % 0.53/0.74 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t439 @t445))) % 0.53/0.74 (assume-push @p1579 @t439) % 0.53/0.74 (step @p384 :rule skolemize :premises (@p367)) % 0.53/0.74 (step-pop @p1580 :rule scope :premises (@p384)) % 0.53/0.74 (step @p385 :rule process_scope :premises (@p1580) :args (@t445)) % 0.53/0.74 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 0.53/0.74 (step @p388 :rule implies_elim :premises (@p387)) % 0.53/0.74 (step @p389 :rule eq_resolve :premises (@p388 @p370)) % 0.53/0.74 (step @p390 :rule chain_m_resolution :premises (@p389 @p367) :args (@t438 @t392 (@list @t338))) % 0.53/0.74 (step @p391 :rule bool-double-not-elim :args (@t433)) % 0.53/0.74 (step @p392 :rule refl :args (@t437)) % 0.53/0.74 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t437 (not @t434)))) % 0.53/0.74 (step @p394 :rule cnf_or_neg :args (@t437 1)) % 0.53/0.74 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.53/0.74 (step @p396 :rule reordering :premises (@p395) :args ((or @t433 @t437))) % 0.53/0.74 (step @p397 :rule chain_m_resolution :premises (@p396 @p390) :args (@t433 @t392 @t446)) % 0.53/0.74 (step @p398 :rule cnf_or_pos :args (@t448)) % 0.53/0.74 (step @p399 :rule factoring :premises (@p398)) % 0.53/0.74 (step @p400 :rule reordering :premises (@p399) :args ((or @t434 @t396 @t380 @t447 (not @t448)))) % 0.53/0.74 (step @p401 :rule chain_m_resolution :premises (@p400 @p397 @p318 @p287 @p206) :args (@t447 (@list false false false false) (@list @t433 @t395 @t379 @t448))) % 0.53/0.74 (step @p402 :rule false_intro :premises (@p401)) % 0.53/0.74 (step @p403 :rule bool-double-not-elim :args (@t381)) % 0.53/0.74 (step @p404 :rule nary_cong :premises (@p282 @p403) :args ((or @t383 (not @t382)))) % 0.53/0.74 (step @p405 :rule cnf_or_neg :args (@t383 0)) % 0.53/0.74 (step @p406 :rule eq_resolve :premises (@p405 @p404)) % 0.53/0.74 (step @p407 :rule reordering :premises (@p406) :args ((or @t381 @t383))) % 0.53/0.74 (step @p408 :rule chain_m_resolution :premises (@p407 @p280) :args (@t381 @t392 @t393)) % 0.53/0.74 (step @p409 :rule eq-symm :args (@t455 @t350)) % 0.53/0.74 (step @p410 :rule refl :args (@t456)) % 0.53/0.74 (step @p411 :rule nary_cong :premises (@p410 @p409) :args (@t457)) % 0.53/0.74 (step @p412 :rule refl :args (@t458)) % 0.53/0.74 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t459)) % 0.53/0.74 (step @p414 :rule refl :args (@t381)) % 0.53/0.74 (step @p415 :rule cong :premises (@p414 @p413) :args ((=> @t381 @t459))) % 0.53/0.74 (assume-push @p1581 @t381) % 0.53/0.74 (step @p417 :rule instantiate :premises (@p408) :args (@t460)) % 0.53/0.74 (step-pop @p1582 :rule scope :premises (@p417)) % 0.53/0.74 (step @p418 :rule process_scope :premises (@p1582) :args (@t459)) % 0.53/0.74 (step @p420 :rule eq_resolve :premises (@p418 @p415)) % 0.53/0.74 (step @p421 :rule implies_elim :premises (@p420)) % 0.53/0.74 (step @p422 :rule chain_m_resolution :premises (@p421 @p408) :args (@t463 @t464 @t465)) % 0.53/0.74 (step @p423 :rule aci_norm :args ((= @t471 (or @t468 @t467 @t450 @t466)))) % 0.53/0.74 (step @p424 :rule cong :premises (@p423) :args (@t472)) % 0.53/0.74 (step @p425 :rule quant-merge-prenex :args ((= (forall @t82 @t473) @t472))) % 0.53/0.74 (step @p426 :rule alpha_equiv :args (@t474 (@list @t449) @t322)) % 0.53/0.74 (step @p427 :rule alpha_equiv :args (@t475 (@list @t451) @t477)) % 0.53/0.74 (step @p428 :rule nary_cong :premises (@p427 @p426) :args (@t478)) % 0.53/0.74 (step @p429 :rule quant-miniscope-or :args ((= @t473 @t478))) % 0.53/0.74 (step @p430 :rule trans :premises (@p429 @p428)) % 0.53/0.74 (step @p431 :rule symm :premises (@p430)) % 0.53/0.74 (step @p432 :rule cong :premises (@p431) :args ((forall @t82 (or @t484 @t479)))) % 0.53/0.74 (step @p433 :rule trans :premises (@p432 @p425)) % 0.53/0.74 (step @p434 :rule trans :premises (@p433 @p424)) % 0.53/0.74 (step @p435 :rule bool-double-not-elim :args (@t479)) % 0.53/0.74 (step @p436 :rule bool-double-not-elim :args (@t484)) % 0.53/0.74 (step @p437 :rule nary_cong :premises (@p436 @p435) :args ((or (not @t486) (not @t485)))) % 0.53/0.74 (step @p438 :rule bool-and-de-morgan :args (@t486 @t485 true)) % 0.53/0.74 (step @p439 :rule trans :premises (@p438 @p437)) % 0.53/0.74 (step @p440 :rule cong :premises (@p439) :args (@t488)) % 0.53/0.74 (step @p441 :rule trans :premises (@p440 @p434)) % 0.53/0.74 (step @p442 :rule cong :premises (@p441) :args (@t489)) % 0.53/0.74 (step @p443 :rule exists-elim :args ((= (exists @t82 @t487) @t489))) % 0.53/0.74 (step @p444 :rule trans :premises (@p443 @p442)) % 0.53/0.74 (step @p445 :rule bool-and-de-morgan :args (@t66 @t64 true)) % 0.53/0.74 (step @p446 :rule cong :premises (@p445) :args (@t490)) % 0.53/0.74 (step @p447 :rule cong :premises (@p446) :args (@t491)) % 0.53/0.74 (step @p448 :rule exists-elim :args ((= @t69 @t491))) % 0.53/0.74 (step @p449 :rule trans :premises (@p448 @p447)) % 0.53/0.74 (step @p450 :rule aci_norm :args ((= (or false @t481 @t480) @t482))) % 0.53/0.74 (step @p451 :rule refl :args (@t480)) % 0.53/0.74 (step @p452 :rule refl :args (@t481)) % 0.53/0.74 (step @p453 :rule eq-refl :args (@t65)) % 0.53/0.74 (step @p454 :rule cong :premises (@p453) :args (@t492)) % 0.53/0.74 (step @p455 :rule trans :premises (@p454 @p42)) % 0.53/0.74 (step @p456 :rule nary_cong :premises (@p455 @p452 @p451) :args (@t493)) % 0.53/0.74 (step @p457 :rule trans :premises (@p456 @p450)) % 0.53/0.74 (step @p458 :rule cong :premises (@p457) :args ((forall @t483 @t493))) % 0.53/0.74 (step @p459 :rule quant-var-elim-eq :args ((= (forall @t79 (or (not @t71) @t496 @t481 @t494)) @t493))) % 0.53/0.74 (step @p460 :rule refl :args (@t494)) % 0.53/0.74 (step @p461 :rule refl :args (@t481)) % 0.53/0.74 (step @p462 :rule refl :args (@t496)) % 0.53/0.74 (step @p463 :rule eq-symm :args (@t65 @t70)) % 0.53/0.74 (step @p464 :rule cong :premises (@p463) :args (@t496)) % 0.53/0.74 (step @p465 :rule nary_cong :premises (@p464 @p462 @p461 @p460) :args (@t497)) % 0.53/0.74 (step @p466 :rule aci_norm :args ((= @t498 @t497))) % 0.53/0.74 (step @p467 :rule trans :premises (@p466 @p465)) % 0.53/0.74 (step @p468 :rule cong :premises (@p467) :args (@t499)) % 0.53/0.74 (step @p469 :rule trans :premises (@p468 @p459)) % 0.53/0.74 (step @p470 :rule cong :premises (@p469) :args (@t500)) % 0.53/0.74 (step @p471 :rule quant-merge-prenex :args ((= @t500 @t501))) % 0.53/0.74 (step @p472 :rule symm :premises (@p471)) % 0.53/0.74 (step @p473 :rule quant_var_reordering :args ((= (forall @t502 @t498) @t501))) % 0.53/0.74 (step @p474 :rule trans :premises (@p473 @p472 @p470)) % 0.53/0.74 (step @p475 :rule trans :premises (@p474 @p458)) % 0.53/0.74 (step @p476 :rule aci_norm :args ((= @t504 @t498))) % 0.53/0.74 (step @p477 :rule cong :premises (@p476) :args (@t505)) % 0.53/0.74 (step @p478 :rule trans :premises (@p477 @p475)) % 0.53/0.74 (step @p479 :rule quant-merge-prenex :args ((= (forall @t79 @t506) @t505))) % 0.53/0.74 (step @p480 :rule alpha_equiv :args (@t507 @t477 (@list @t72))) % 0.53/0.74 (step @p481 :rule nary_cong :premises (@p480 @p462) :args (@t508)) % 0.53/0.74 (step @p482 :rule quant-miniscope-or :args ((= @t506 @t508))) % 0.53/0.74 (step @p483 :rule trans :premises (@p482 @p481)) % 0.53/0.74 (step @p484 :rule symm :premises (@p483)) % 0.53/0.74 (step @p485 :rule cong :premises (@p484) :args ((forall @t79 (or @t509 @t496)))) % 0.53/0.74 (step @p486 :rule trans :premises (@p485 @p479)) % 0.53/0.74 (step @p487 :rule trans :premises (@p486 @p478)) % 0.53/0.74 (step @p488 :rule bool-double-not-elim :args (@t509)) % 0.53/0.74 (step @p489 :rule nary_cong :premises (@p488 @p462) :args ((or (not @t510) @t496))) % 0.53/0.74 (step @p490 :rule bool-and-de-morgan :args (@t510 @t495 true)) % 0.53/0.74 (step @p491 :rule trans :premises (@p490 @p489)) % 0.53/0.74 (step @p492 :rule cong :premises (@p491) :args (@t512)) % 0.53/0.74 (step @p493 :rule trans :premises (@p492 @p487)) % 0.53/0.74 (step @p494 :rule cong :premises (@p493) :args (@t513)) % 0.53/0.74 (step @p495 :rule exists-elim :args ((= (exists @t79 @t511) @t513))) % 0.53/0.74 (step @p496 :rule trans :premises (@p495 @p494)) % 0.53/0.74 (step @p497 :rule eq-symm :args (@t70 @t65)) % 0.53/0.74 (step @p498 :rule bool-and-de-morgan :args (@t74 @t73 true)) % 0.53/0.74 (step @p499 :rule cong :premises (@p498) :args (@t514)) % 0.53/0.74 (step @p500 :rule cong :premises (@p499) :args (@t515)) % 0.53/0.74 (step @p501 :rule exists-elim :args ((= @t77 @t515))) % 0.53/0.74 (step @p502 :rule trans :premises (@p501 @p500)) % 0.53/0.74 (step @p503 :rule nary_cong :premises (@p502 @p497) :args (@t78)) % 0.53/0.74 (step @p504 :rule cong :premises (@p503) :args (@t80)) % 0.53/0.74 (step @p505 :rule trans :premises (@p504 @p496)) % 0.53/0.74 (step @p506 :rule nary_cong :premises (@p505 @p449) :args (@t81)) % 0.53/0.74 (step @p507 :rule cong :premises (@p506) :args (@t83)) % 0.53/0.74 (step @p508 :rule trans :premises (@p507 @p444)) % 0.53/0.74 (step @p509 :rule cong :premises (@p508) :args (@t84)) % 0.53/0.74 (step @p510 :rule eq_resolve :premises (@p5 @p509)) % 0.53/0.74 (step @p511 :rule instantiate :premises (@p510) :args (@t516)) % 0.53/0.74 (step @p512 :rule skolemize :premises (@p511)) % 0.53/0.74 (step @p513 :rule bool-double-not-elim :args (@t518)) % 0.53/0.74 (step @p514 :rule refl :args (@t527)) % 0.53/0.74 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or @t527 (not @t521)))) % 0.53/0.74 (step @p516 :rule cnf_or_neg :args (@t527 2)) % 0.53/0.74 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 0.53/0.74 (step @p518 :rule reordering :premises (@p517) :args ((or @t518 @t527))) % 0.53/0.74 (step @p519 :rule chain_m_resolution :premises (@p518 @p512) :args (@t518 @t392 @t528)) % 0.53/0.74 (step @p520 :rule true_intro :premises (@p519)) % 0.53/0.74 (step @p521 :rule refl :args (@t455)) % 0.53/0.74 (step @p522 :rule bool-and-de-morgan :args (@t533 @t534 true)) % 0.53/0.74 (step @p523 :rule cong :premises (@p522) :args (@t536)) % 0.53/0.74 (step @p524 :rule cong :premises (@p523) :args (@t537)) % 0.53/0.74 (step @p525 :rule exists-elim :args ((= (exists @t42 @t535) @t537))) % 0.53/0.74 (step @p526 :rule trans :premises (@p525 @p524)) % 0.53/0.74 (step @p527 :rule aci_norm :args ((= (or false @t534) @t534))) % 0.53/0.74 (step @p528 :rule aci_norm :args ((= (and @t534 true) @t534))) % 0.53/0.74 (step @p529 :rule eq-refl :args (@t29)) % 0.53/0.74 (step @p530 :rule refl :args (@t534)) % 0.53/0.74 (step @p531 :rule nary_cong :premises (@p530 @p529) :args (@t539)) % 0.53/0.74 (step @p532 :rule trans :premises (@p531 @p528)) % 0.53/0.74 (step @p533 :rule cong :premises (@p529) :args (@t540)) % 0.53/0.74 (step @p534 :rule trans :premises (@p533 @p42)) % 0.53/0.74 (step @p535 :rule nary_cong :premises (@p534 @p532) :args (@t541)) % 0.53/0.74 (step @p536 :rule trans :premises (@p535 @p527)) % 0.53/0.74 (step @p537 :rule quant-var-elim-eq :args ((= (forall @t546 (or (not (= @t542 @t29)) @t545 @t544)) @t541))) % 0.53/0.74 (step @p538 :rule refl :args (@t544)) % 0.53/0.74 (step @p539 :rule refl :args (@t545)) % 0.53/0.74 (step @p540 :rule eq-symm :args (@t29 @t542)) % 0.53/0.74 (step @p541 :rule cong :premises (@p540) :args (@t545)) % 0.53/0.74 (step @p542 :rule nary_cong :premises (@p541 @p539 @p538) :args (@t547)) % 0.53/0.74 (step @p543 :rule aci_norm :args ((= @t548 @t547))) % 0.53/0.74 (step @p544 :rule trans :premises (@p543 @p542)) % 0.53/0.74 (step @p545 :rule cong :premises (@p544) :args (@t549)) % 0.53/0.74 (step @p546 :rule trans :premises (@p545 @p537)) % 0.53/0.74 (step @p547 :rule trans :premises (@p546 @p536)) % 0.53/0.74 (step @p548 :rule refl :args (@t533)) % 0.53/0.74 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((and @t533 @t549))) % 0.53/0.74 (step @p550 :rule alpha_equiv :args (@t554 @t555 (@list @t542))) % 0.53/0.74 (step @p551 :rule alpha_equiv :args (@t557 @t555 (@list @t529))) % 0.53/0.74 (step @p552 :rule nary_cong :premises (@p551 @p550) :args (@t558)) % 0.53/0.74 (step @p553 :rule quant-miniscope-and :args ((= (forall @t40 (and @t556 @t553)) @t558))) % 0.53/0.74 (step @p554 :rule trans :premises (@p553 @p552)) % 0.53/0.74 (step @p555 :rule trans :premises (@p554 @p549)) % 0.53/0.74 (step @p556 :rule bool-or-and-distrib :args (@t37 @t552 true @t551 false)) % 0.53/0.74 (step @p557 :rule cong :premises (@p556) :args ((forall @t40 (or (and @t37 @t552) @t551)))) % 0.53/0.74 (step @p558 :rule trans :premises (@p557 @p555)) % 0.53/0.74 (step @p559 :rule eq-symm :args (@t30 @t29)) % 0.53/0.74 (step @p560 :rule refl :args (@t34)) % 0.53/0.74 (step @p561 :rule nary_cong :premises (@p560 @p559) :args (@t35)) % 0.53/0.74 (step @p562 :rule cong :premises (@p559) :args (@t36)) % 0.53/0.74 (step @p563 :rule refl :args (@t37)) % 0.53/0.74 (step @p564 :rule nary_cong :premises (@p563 @p562) :args (@t38)) % 0.53/0.74 (step @p565 :rule nary_cong :premises (@p564 @p561) :args (@t39)) % 0.53/0.74 (step @p566 :rule cong :premises (@p565) :args (@t41)) % 0.53/0.74 (step @p567 :rule trans :premises (@p566 @p558)) % 0.53/0.74 (step @p568 :rule cong :premises (@p567) :args (@t43)) % 0.53/0.74 (step @p569 :rule trans :premises (@p568 @p526)) % 0.53/0.74 (step @p570 :rule cong :premises (@p569) :args (@t44)) % 0.53/0.74 (step @p571 :rule eq_resolve :premises (@p3 @p570)) % 0.53/0.74 (step @p572 :rule instantiate :premises (@p571) :args (@t516)) % 0.53/0.74 (step @p573 :rule refl :args (@t567)) % 0.53/0.74 (step @p574 :rule bool-double-not-elim :args (@t561)) % 0.53/0.74 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or (not @t568) @t567))) % 0.53/0.74 (step @p576 :rule refl :args (@t563)) % 0.53/0.74 (step @p577 :rule eq-symm :args (@t562 @t529)) % 0.53/0.74 (step @p578 :rule refl :args (@t559)) % 0.53/0.74 (step @p579 :rule nary_cong :premises (@p578 @p577) :args (@t569)) % 0.53/0.74 (step @p580 :rule refl :args (@t560)) % 0.53/0.74 (step @p581 :rule nary_cong :premises (@p580 @p579) :args (@t570)) % 0.53/0.74 (step @p582 :rule cong :premises (@p581) :args (@t571)) % 0.53/0.74 (step @p583 :rule cong :premises (@p582) :args (@t572)) % 0.53/0.74 (step @p584 :rule nary_cong :premises (@p583 @p576) :args (@t573)) % 0.53/0.74 (step @p585 :rule cong :premises (@p584) :args (@t574)) % 0.53/0.74 (step @p586 :rule refl :args (@t568)) % 0.53/0.74 (step @p587 :rule cong :premises (@p586 @p585) :args ((=> @t568 @t574))) % 0.53/0.74 (assume-push @p1583 @t568) % 0.53/0.74 (step @p589 :rule skolemize :premises (@p572)) % 0.53/0.74 (step-pop @p1584 :rule scope :premises (@p589)) % 0.53/0.74 (step @p590 :rule process_scope :premises (@p1584) :args (@t574)) % 0.53/0.74 (step @p592 :rule eq_resolve :premises (@p590 @p587)) % 0.53/0.74 (step @p593 :rule implies_elim :premises (@p592)) % 0.53/0.74 (step @p594 :rule eq_resolve :premises (@p593 @p575)) % 0.53/0.74 (step @p595 :rule chain_m_resolution :premises (@p594 @p572) :args (@t567 @t392 (@list @t561))) % 0.53/0.74 (step @p596 :rule bool-double-not-elim :args (@t564)) % 0.53/0.74 (step @p597 :rule refl :args (@t566)) % 0.53/0.74 (step @p598 :rule nary_cong :premises (@p597 @p596) :args ((or @t566 (not @t565)))) % 0.53/0.74 (step @p599 :rule cnf_or_neg :args (@t566 0)) % 0.53/0.74 (step @p600 :rule eq_resolve :premises (@p599 @p598)) % 0.53/0.74 (step @p601 :rule reordering :premises (@p600) :args ((or @t564 @t566))) % 0.53/0.74 (step @p602 :rule chain_m_resolution :premises (@p601 @p595) :args (@t564 @t392 (@list @t566))) % 0.53/0.74 (step @p603 :rule eq-symm :args (@t517 @t562)) % 0.53/0.74 (step @p604 :rule refl :args (@t519)) % 0.53/0.74 (step @p605 :rule nary_cong :premises (@p604 @p603) :args (@t575)) % 0.53/0.74 (step @p606 :rule refl :args (@t520)) % 0.53/0.74 (step @p607 :rule nary_cong :premises (@p606 @p605) :args (@t576)) % 0.53/0.74 (step @p608 :rule refl :args (@t564)) % 0.53/0.74 (step @p609 :rule cong :premises (@p608 @p607) :args ((=> @t564 @t576))) % 0.53/0.74 (assume-push @p1585 @t564) % 0.53/0.74 (step @p611 :rule instantiate :premises (@p602) :args ((@list @t517))) % 0.53/0.74 (step-pop @p1586 :rule scope :premises (@p611)) % 0.53/0.74 (step @p612 :rule process_scope :premises (@p1586) :args (@t576)) % 0.53/0.74 (step @p614 :rule eq_resolve :premises (@p612 @p609)) % 0.53/0.74 (step @p615 :rule implies_elim :premises (@p614)) % 0.53/0.74 (step @p616 :rule chain_m_resolution :premises (@p615 @p602) :args (@t579 @t464 (@list @t564))) % 0.53/0.74 (step @p617 :rule bool-double-not-elim :args (@t519)) % 0.53/0.74 (step @p618 :rule nary_cong :premises (@p514 @p617) :args ((or @t527 (not @t520)))) % 0.53/0.74 (step @p619 :rule cnf_or_neg :args (@t527 3)) % 0.53/0.74 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 0.53/0.74 (step @p621 :rule reordering :premises (@p620) :args ((or @t519 @t527))) % 0.53/0.74 (step @p622 :rule chain_m_resolution :premises (@p621 @p512) :args (@t519 @t392 @t528)) % 0.53/0.74 (step @p623 :rule cnf_or_pos :args (@t579)) % 0.53/0.74 (step @p624 :rule reordering :premises (@p623) :args ((or @t520 @t578 (not @t579)))) % 0.53/0.74 (step @p625 :rule chain_m_resolution :premises (@p624 @p622 @p616) :args (@t578 @t580 (@list @t519 @t579))) % 0.53/0.74 (step @p626 :rule cnf_and_pos :args (@t578 1)) % 0.53/0.74 (step @p627 :rule reordering :premises (@p626) :args ((or @t577 (not @t578)))) % 0.53/0.74 (step @p628 :rule chain_m_resolution :premises (@p627 @p625) :args (@t577 @t464 (@list @t578))) % 0.53/0.74 (step @p629 :rule instantiate :premises (@p602) :args (@t378)) % 0.53/0.74 (step @p630 :rule aci_norm :args ((= (or false @t583 @t582) (or @t583 @t582)))) % 0.53/0.74 (step @p631 :rule refl :args (@t582)) % 0.53/0.74 (step @p632 :rule refl :args (@t583)) % 0.53/0.74 (step @p633 :rule eq-refl :args (@t113)) % 0.53/0.74 (step @p634 :rule cong :premises (@p633) :args (@t584)) % 0.53/0.74 (step @p635 :rule trans :premises (@p634 @p42)) % 0.53/0.74 (step @p636 :rule nary_cong :premises (@p635 @p632 @p631) :args (@t585)) % 0.53/0.74 (step @p637 :rule trans :premises (@p636 @p630)) % 0.53/0.74 (step @p638 :rule cong :premises (@p637) :args ((forall @t586 @t585))) % 0.53/0.74 (step @p639 :rule quant-var-elim-eq :args ((= (forall @t123 (or (not @t115) @t589 @t583 @t587)) @t585))) % 0.53/0.74 (step @p640 :rule refl :args (@t587)) % 0.53/0.74 (step @p641 :rule refl :args (@t583)) % 0.53/0.74 (step @p642 :rule refl :args (@t589)) % 0.53/0.74 (step @p643 :rule eq-symm :args (@t113 @t114)) % 0.53/0.74 (step @p644 :rule cong :premises (@p643) :args (@t589)) % 0.53/0.74 (step @p645 :rule nary_cong :premises (@p644 @p642 @p641 @p640) :args (@t590)) % 0.53/0.74 (step @p646 :rule aci_norm :args ((= @t591 @t590))) % 0.53/0.74 (step @p647 :rule trans :premises (@p646 @p645)) % 0.53/0.74 (step @p648 :rule cong :premises (@p647) :args (@t592)) % 0.53/0.74 (step @p649 :rule trans :premises (@p648 @p639)) % 0.53/0.74 (step @p650 :rule cong :premises (@p649) :args (@t593)) % 0.53/0.74 (step @p651 :rule quant-merge-prenex :args ((= @t593 @t594))) % 0.53/0.74 (step @p652 :rule symm :premises (@p651)) % 0.53/0.74 (step @p653 :rule quant_var_reordering :args ((= (forall @t595 @t591) @t594))) % 0.53/0.74 (step @p654 :rule trans :premises (@p653 @p652 @p650)) % 0.53/0.74 (step @p655 :rule trans :premises (@p654 @p638)) % 0.53/0.74 (step @p656 :rule aci_norm :args ((= @t597 @t591))) % 0.53/0.74 (step @p657 :rule cong :premises (@p656) :args (@t598)) % 0.53/0.74 (step @p658 :rule trans :premises (@p657 @p655)) % 0.53/0.74 (step @p659 :rule quant-merge-prenex :args ((= (forall @t123 @t599) @t598))) % 0.53/0.74 (step @p660 :rule alpha_equiv :args (@t600 (@list @t581) (@list @t116))) % 0.53/0.74 (step @p661 :rule nary_cong :premises (@p660 @p642) :args (@t601)) % 0.53/0.74 (step @p662 :rule quant-miniscope-or :args ((= @t599 @t601))) % 0.53/0.74 (step @p663 :rule trans :premises (@p662 @p661)) % 0.53/0.74 (step @p664 :rule symm :premises (@p663)) % 0.53/0.74 (step @p665 :rule cong :premises (@p664) :args ((forall @t123 (or @t602 @t589)))) % 0.53/0.74 (step @p666 :rule trans :premises (@p665 @p659)) % 0.53/0.74 (step @p667 :rule trans :premises (@p666 @p658)) % 0.53/0.74 (step @p668 :rule bool-double-not-elim :args (@t602)) % 0.53/0.74 (step @p669 :rule nary_cong :premises (@p668 @p642) :args ((or (not @t603) @t589))) % 0.53/0.74 (step @p670 :rule bool-and-de-morgan :args (@t603 @t588 true)) % 0.53/0.74 (step @p671 :rule trans :premises (@p670 @p669)) % 0.53/0.74 (step @p672 :rule cong :premises (@p671) :args (@t605)) % 0.53/0.74 (step @p673 :rule trans :premises (@p672 @p667)) % 0.53/0.74 (step @p674 :rule cong :premises (@p673) :args (@t606)) % 0.53/0.74 (step @p675 :rule exists-elim :args ((= (exists @t123 @t604) @t606))) % 0.53/0.74 (step @p676 :rule trans :premises (@p675 @p674)) % 0.53/0.74 (step @p677 :rule eq-symm :args (@t114 @t113)) % 0.53/0.74 (step @p678 :rule bool-and-de-morgan :args (@t118 @t117 true)) % 0.53/0.74 (step @p679 :rule cong :premises (@p678) :args (@t607)) % 0.53/0.74 (step @p680 :rule cong :premises (@p679) :args (@t608)) % 0.53/0.74 (step @p681 :rule exists-elim :args ((= @t121 @t608))) % 0.53/0.74 (step @p682 :rule trans :premises (@p681 @p680)) % 0.53/0.74 (step @p683 :rule nary_cong :premises (@p682 @p677) :args (@t122)) % 0.53/0.74 (step @p684 :rule cong :premises (@p683) :args (@t124)) % 0.53/0.74 (step @p685 :rule trans :premises (@p684 @p676)) % 0.53/0.74 (step @p686 :rule cong :premises (@p685) :args (@t125)) % 0.53/0.74 (step @p687 :rule eq_resolve :premises (@p8 @p686)) % 0.53/0.74 (step @p688 :rule instantiate :premises (@p687) :args (@t378)) % 0.53/0.74 (step @p689 :rule skolemize :premises (@p688)) % 0.53/0.74 (step @p690 :rule bool-double-not-elim :args (@t610)) % 0.53/0.74 (step @p691 :rule refl :args (@t614)) % 0.53/0.74 (step @p692 :rule nary_cong :premises (@p691 @p690) :args ((or @t614 (not @t611)))) % 0.53/0.74 (step @p693 :rule cnf_or_neg :args (@t614 1)) % 0.53/0.74 (step @p694 :rule eq_resolve :premises (@p693 @p692)) % 0.53/0.74 (step @p695 :rule reordering :premises (@p694) :args ((or @t610 @t614))) % 0.53/0.74 (step @p696 :rule chain_m_resolution :premises (@p695 @p689) :args (@t610 @t392 @t615)) % 0.53/0.74 (step @p697 :rule true_intro :premises (@p696)) % 0.53/0.74 (step @p698 :rule refl :args (@t346)) % 0.53/0.74 (step @p699 :rule bool-double-not-elim :args (@t435)) % 0.53/0.74 (step @p700 :rule nary_cong :premises (@p392 @p699) :args ((or @t437 (not @t436)))) % 0.53/0.74 (step @p701 :rule cnf_or_neg :args (@t437 0)) % 0.53/0.74 (step @p702 :rule eq_resolve :premises (@p701 @p700)) % 0.53/0.74 (step @p703 :rule reordering :premises (@p702) :args ((or @t435 @t437))) % 0.53/0.74 (step @p704 :rule chain_m_resolution :premises (@p703 @p390) :args (@t435 @t392 @t446)) % 0.53/0.74 (step @p705 :rule eq-symm :args (@t609 @t339)) % 0.53/0.74 (step @p706 :rule refl :args (@t612)) % 0.53/0.74 (step @p707 :rule nary_cong :premises (@p706 @p705) :args (@t616)) % 0.53/0.74 (step @p708 :rule refl :args (@t613)) % 0.53/0.74 (step @p709 :rule nary_cong :premises (@p708 @p707) :args (@t617)) % 0.53/0.74 (step @p710 :rule refl :args (@t435)) % 0.53/0.74 (step @p711 :rule cong :premises (@p710 @p709) :args ((=> @t435 @t617))) % 0.53/0.74 (assume-push @p1587 @t435) % 0.53/0.74 (step @p713 :rule instantiate :premises (@p704) :args ((@list @t609))) % 0.53/0.74 (step-pop @p1588 :rule scope :premises (@p713)) % 0.53/0.74 (step @p714 :rule process_scope :premises (@p1588) :args (@t617)) % 0.53/0.74 (step @p716 :rule eq_resolve :premises (@p714 @p711)) % 0.53/0.74 (step @p717 :rule implies_elim :premises (@p716)) % 0.53/0.74 (step @p718 :rule chain_m_resolution :premises (@p717 @p704) :args (@t620 @t464 @t621)) % 0.53/0.74 (step @p719 :rule bool-double-not-elim :args (@t612)) % 0.53/0.74 (step @p720 :rule nary_cong :premises (@p691 @p719) :args ((or @t614 (not @t613)))) % 0.53/0.74 (step @p721 :rule cnf_or_neg :args (@t614 0)) % 0.53/0.74 (step @p722 :rule eq_resolve :premises (@p721 @p720)) % 0.53/0.74 (step @p723 :rule reordering :premises (@p722) :args ((or @t612 @t614))) % 0.53/0.74 (step @p724 :rule chain_m_resolution :premises (@p723 @p689) :args (@t612 @t392 @t615)) % 0.53/0.74 (step @p725 :rule cnf_or_pos :args (@t620)) % 0.53/0.74 (step @p726 :rule reordering :premises (@p725) :args ((or @t613 @t619 (not @t620)))) % 0.53/0.74 (step @p727 :rule chain_m_resolution :premises (@p726 @p724 @p718) :args (@t619 @t580 (@list @t612 @t620))) % 0.53/0.74 (step @p728 :rule cnf_and_pos :args (@t619 1)) % 0.53/0.74 (step @p729 :rule reordering :premises (@p728) :args ((or @t618 (not @t619)))) % 0.53/0.74 (step @p730 :rule chain_m_resolution :premises (@p729 @p727) :args (@t618 @t464 (@list @t619))) % 0.53/0.74 (step @p731 :rule cong :premises (@p698 @p730 @p698) :args (@t622)) % 0.53/0.74 (step @p732 :rule trans :premises (@p731 @p697)) % 0.53/0.74 (step @p733 :rule true_elim :premises (@p732)) % 0.53/0.74 (step @p734 :rule cnf_or_pos :args (@t626)) % 0.53/0.74 (step @p735 :rule reordering :premises (@p734) :args ((or @t625 @t624 (not @t626)))) % 0.53/0.74 (step @p736 :rule chain_m_resolution :premises (@p735 @p733 @p629) :args (@t624 @t580 (@list @t622 @t626))) % 0.53/0.74 (step @p737 :rule cnf_and_pos :args (@t624 1)) % 0.53/0.74 (step @p738 :rule reordering :premises (@p737) :args ((or @t623 (not @t624)))) % 0.53/0.74 (step @p739 :rule chain_m_resolution :premises (@p738 @p736) :args (@t623 @t464 (@list @t624))) % 0.53/0.74 (step @p740 :rule bool-double-not-elim :args (@t397)) % 0.53/0.74 (step @p741 :rule nary_cong :premises (@p313 @p740) :args ((or @t399 (not @t398)))) % 0.53/0.74 (step @p742 :rule cnf_or_neg :args (@t399 0)) % 0.53/0.74 (step @p743 :rule eq_resolve :premises (@p742 @p741)) % 0.53/0.74 (step @p744 :rule reordering :premises (@p743) :args ((or @t397 @t399))) % 0.53/0.74 (step @p745 :rule chain_m_resolution :premises (@p744 @p311) :args (@t397 @t392 @t408)) % 0.53/0.74 (step @p746 :rule eq-symm :args (@t628 @t346)) % 0.53/0.74 (step @p747 :rule refl :args (@t629)) % 0.53/0.74 (step @p748 :rule nary_cong :premises (@p747 @p746) :args (@t630)) % 0.53/0.74 (step @p749 :rule refl :args (@t631)) % 0.53/0.74 (step @p750 :rule nary_cong :premises (@p749 @p748) :args (@t632)) % 0.53/0.74 (step @p751 :rule refl :args (@t397)) % 0.53/0.74 (step @p752 :rule cong :premises (@p751 @p750) :args ((=> @t397 @t632))) % 0.53/0.74 (assume-push @p1589 @t397) % 0.53/0.74 (step @p754 :rule instantiate :premises (@p745) :args (@t633)) % 0.53/0.74 (step-pop @p1590 :rule scope :premises (@p754)) % 0.53/0.74 (step @p755 :rule process_scope :premises (@p1590) :args (@t632)) % 0.53/0.74 (step @p757 :rule eq_resolve :premises (@p755 @p752)) % 0.53/0.74 (step @p758 :rule implies_elim :premises (@p757)) % 0.53/0.74 (step @p759 :rule chain_m_resolution :premises (@p758 @p745) :args (@t636 @t464 @t637)) % 0.53/0.74 (step @p760 :rule instantiate :premises (@p510) :args (@t638)) % 0.53/0.74 (step @p761 :rule skolemize :premises (@p760)) % 0.53/0.74 (step @p762 :rule bool-double-not-elim :args (@t640)) % 0.53/0.74 (step @p763 :rule refl :args (@t649)) % 0.53/0.74 (step @p764 :rule nary_cong :premises (@p763 @p762) :args ((or @t649 (not @t643)))) % 0.53/0.74 (step @p765 :rule cnf_or_neg :args (@t649 2)) % 0.53/0.74 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 0.53/0.74 (step @p767 :rule reordering :premises (@p766) :args ((or @t640 @t649))) % 0.53/0.74 (step @p768 :rule chain_m_resolution :premises (@p767 @p761) :args (@t640 @t392 @t650)) % 0.53/0.74 (step @p769 :rule true_intro :premises (@p768)) % 0.53/0.74 (step @p770 :rule refl :args (@t628)) % 0.53/0.74 (step @p771 :rule instantiate :premises (@p571) :args (@t638)) % 0.53/0.74 (step @p772 :rule refl :args (@t659)) % 0.53/0.74 (step @p773 :rule bool-double-not-elim :args (@t653)) % 0.53/0.74 (step @p774 :rule nary_cong :premises (@p773 @p772) :args ((or (not @t660) @t659))) % 0.53/0.74 (step @p775 :rule refl :args (@t655)) % 0.53/0.74 (step @p776 :rule eq-symm :args (@t654 @t529)) % 0.53/0.74 (step @p777 :rule refl :args (@t651)) % 0.53/0.74 (step @p778 :rule nary_cong :premises (@p777 @p776) :args (@t661)) % 0.53/0.74 (step @p779 :rule refl :args (@t652)) % 0.53/0.74 (step @p780 :rule nary_cong :premises (@p779 @p778) :args (@t662)) % 0.53/0.74 (step @p781 :rule cong :premises (@p780) :args (@t663)) % 0.53/0.74 (step @p782 :rule cong :premises (@p781) :args (@t664)) % 0.53/0.74 (step @p783 :rule nary_cong :premises (@p782 @p775) :args (@t665)) % 0.53/0.74 (step @p784 :rule cong :premises (@p783) :args (@t666)) % 0.53/0.74 (step @p785 :rule refl :args (@t660)) % 0.53/0.74 (step @p786 :rule cong :premises (@p785 @p784) :args ((=> @t660 @t666))) % 0.53/0.74 (assume-push @p1591 @t660) % 0.53/0.74 (step @p788 :rule skolemize :premises (@p771)) % 0.53/0.74 (step-pop @p1592 :rule scope :premises (@p788)) % 0.53/0.74 (step @p789 :rule process_scope :premises (@p1592) :args (@t666)) % 0.53/0.74 (step @p791 :rule eq_resolve :premises (@p789 @p786)) % 0.53/0.74 (step @p792 :rule implies_elim :premises (@p791)) % 0.53/0.74 (step @p793 :rule eq_resolve :premises (@p792 @p774)) % 0.53/0.74 (step @p794 :rule chain_m_resolution :premises (@p793 @p771) :args (@t659 @t392 (@list @t653))) % 0.53/0.74 (step @p795 :rule bool-double-not-elim :args (@t656)) % 0.53/0.74 (step @p796 :rule refl :args (@t658)) % 0.53/0.74 (step @p797 :rule nary_cong :premises (@p796 @p795) :args ((or @t658 (not @t657)))) % 0.53/0.74 (step @p798 :rule cnf_or_neg :args (@t658 0)) % 0.53/0.74 (step @p799 :rule eq_resolve :premises (@p798 @p797)) % 0.53/0.74 (step @p800 :rule reordering :premises (@p799) :args ((or @t656 @t658))) % 0.53/0.74 (step @p801 :rule chain_m_resolution :premises (@p800 @p794) :args (@t656 @t392 (@list @t658))) % 0.53/0.74 (step @p802 :rule eq-symm :args (@t639 @t654)) % 0.53/0.74 (step @p803 :rule refl :args (@t641)) % 0.53/0.74 (step @p804 :rule nary_cong :premises (@p803 @p802) :args (@t667)) % 0.53/0.74 (step @p805 :rule refl :args (@t642)) % 0.53/0.74 (step @p806 :rule nary_cong :premises (@p805 @p804) :args (@t668)) % 0.53/0.74 (step @p807 :rule refl :args (@t656)) % 0.53/0.74 (step @p808 :rule cong :premises (@p807 @p806) :args ((=> @t656 @t668))) % 0.53/0.74 (assume-push @p1593 @t656) % 0.53/0.74 (step @p810 :rule instantiate :premises (@p801) :args ((@list @t639))) % 0.53/0.74 (step-pop @p1594 :rule scope :premises (@p810)) % 0.53/0.74 (step @p811 :rule process_scope :premises (@p1594) :args (@t668)) % 0.53/0.74 (step @p813 :rule eq_resolve :premises (@p811 @p808)) % 0.53/0.74 (step @p814 :rule implies_elim :premises (@p813)) % 0.53/0.74 (step @p815 :rule chain_m_resolution :premises (@p814 @p801) :args (@t671 @t464 (@list @t656))) % 0.53/0.74 (step @p816 :rule bool-double-not-elim :args (@t641)) % 0.53/0.74 (step @p817 :rule nary_cong :premises (@p763 @p816) :args ((or @t649 (not @t642)))) % 0.53/0.74 (step @p818 :rule cnf_or_neg :args (@t649 3)) % 0.53/0.74 (step @p819 :rule eq_resolve :premises (@p818 @p817)) % 0.53/0.74 (step @p820 :rule reordering :premises (@p819) :args ((or @t641 @t649))) % 0.53/0.74 (step @p821 :rule chain_m_resolution :premises (@p820 @p761) :args (@t641 @t392 @t650)) % 0.53/0.74 (step @p822 :rule cnf_or_pos :args (@t671)) % 0.53/0.74 (step @p823 :rule reordering :premises (@p822) :args ((or @t642 @t670 (not @t671)))) % 0.53/0.74 (step @p824 :rule chain_m_resolution :premises (@p823 @p821 @p815) :args (@t670 @t580 (@list @t641 @t671))) % 0.53/0.74 (step @p825 :rule cnf_and_pos :args (@t670 1)) % 0.53/0.74 (step @p826 :rule reordering :premises (@p825) :args ((or @t669 (not @t670)))) % 0.53/0.74 (step @p827 :rule chain_m_resolution :premises (@p826 @p824) :args (@t669 @t464 (@list @t670))) % 0.53/0.74 (step @p828 :rule instantiate :premises (@p801) :args (@t394)) % 0.53/0.74 (step @p829 :rule instantiate :premises (@p687) :args (@t394)) % 0.53/0.74 (step @p830 :rule skolemize :premises (@p829)) % 0.53/0.74 (step @p831 :rule bool-double-not-elim :args (@t673)) % 0.53/0.74 (step @p832 :rule refl :args (@t677)) % 0.53/0.74 (step @p833 :rule nary_cong :premises (@p832 @p831) :args ((or @t677 (not @t674)))) % 0.53/0.74 (step @p834 :rule cnf_or_neg :args (@t677 1)) % 0.53/0.74 (step @p835 :rule eq_resolve :premises (@p834 @p833)) % 0.53/0.74 (step @p836 :rule reordering :premises (@p835) :args ((or @t673 @t677))) % 0.53/0.74 (step @p837 :rule chain_m_resolution :premises (@p836 @p830) :args (@t673 @t392 @t678)) % 0.53/0.74 (step @p838 :rule true_intro :premises (@p837)) % 0.53/0.74 (step @p839 :rule refl :args (@t339)) % 0.53/0.74 (step @p840 :rule eq-symm :args (@t672 @t339)) % 0.53/0.74 (step @p841 :rule refl :args (@t675)) % 0.53/0.74 (step @p842 :rule nary_cong :premises (@p841 @p840) :args (@t679)) % 0.53/0.74 (step @p843 :rule refl :args (@t676)) % 0.53/0.74 (step @p844 :rule nary_cong :premises (@p843 @p842) :args (@t680)) % 0.53/0.74 (step @p845 :rule cong :premises (@p710 @p844) :args ((=> @t435 @t680))) % 0.53/0.74 (assume-push @p1595 @t435) % 0.53/0.74 (step @p847 :rule instantiate :premises (@p704) :args ((@list @t672))) % 0.53/0.74 (step-pop @p1596 :rule scope :premises (@p847)) % 0.53/0.74 (step @p848 :rule process_scope :premises (@p1596) :args (@t680)) % 0.53/0.74 (step @p850 :rule eq_resolve :premises (@p848 @p845)) % 0.53/0.74 (step @p851 :rule implies_elim :premises (@p850)) % 0.53/0.74 (step @p852 :rule chain_m_resolution :premises (@p851 @p704) :args (@t683 @t464 @t621)) % 0.53/0.74 (step @p853 :rule bool-double-not-elim :args (@t675)) % 0.53/0.74 (step @p854 :rule nary_cong :premises (@p832 @p853) :args ((or @t677 (not @t676)))) % 0.53/0.74 (step @p855 :rule cnf_or_neg :args (@t677 0)) % 0.53/0.74 (step @p856 :rule eq_resolve :premises (@p855 @p854)) % 0.53/0.74 (step @p857 :rule reordering :premises (@p856) :args ((or @t675 @t677))) % 0.53/0.74 (step @p858 :rule chain_m_resolution :premises (@p857 @p830) :args (@t675 @t392 @t678)) % 0.53/0.74 (step @p859 :rule cnf_or_pos :args (@t683)) % 0.53/0.74 (step @p860 :rule reordering :premises (@p859) :args ((or @t676 @t682 (not @t683)))) % 0.53/0.74 (step @p861 :rule chain_m_resolution :premises (@p860 @p858 @p852) :args (@t682 @t580 (@list @t675 @t683))) % 0.53/0.74 (step @p862 :rule cnf_and_pos :args (@t682 1)) % 0.53/0.74 (step @p863 :rule reordering :premises (@p862) :args ((or @t681 (not @t682)))) % 0.53/0.74 (step @p864 :rule chain_m_resolution :premises (@p863 @p861) :args (@t681 @t464 (@list @t682))) % 0.53/0.74 (step @p865 :rule cong :premises (@p839 @p864 @p839) :args (@t684)) % 0.53/0.74 (step @p866 :rule trans :premises (@p865 @p838)) % 0.53/0.74 (step @p867 :rule true_elim :premises (@p866)) % 0.53/0.75 (step @p868 :rule cnf_or_pos :args (@t688)) % 0.53/0.75 (step @p869 :rule reordering :premises (@p868) :args ((or @t687 @t686 (not @t688)))) % 0.53/0.75 (step @p870 :rule chain_m_resolution :premises (@p869 @p867 @p828) :args (@t686 @t580 (@list @t684 @t688))) % 0.53/0.75 (step @p871 :rule cnf_and_pos :args (@t686 1)) % 0.53/0.75 (step @p872 :rule reordering :premises (@p871) :args ((or @t685 (not @t686)))) % 0.53/0.75 (step @p873 :rule chain_m_resolution :premises (@p872 @p870) :args (@t685 @t464 (@list @t686))) % 0.53/0.75 (step @p874 :rule trans :premises (@p873 @p827)) % 0.53/0.75 (step @p875 :rule cong :premises (@p874 @p770) :args (@t629)) % 0.53/0.75 (step @p876 :rule trans :premises (@p875 @p769)) % 0.53/0.75 (step @p877 :rule true_elim :premises (@p876)) % 0.53/0.75 (step @p878 :rule cnf_or_pos :args (@t636)) % 0.53/0.75 (step @p879 :rule reordering :premises (@p878) :args ((or @t631 @t635 (not @t636)))) % 0.53/0.75 (step @p880 :rule chain_m_resolution :premises (@p879 @p877 @p759) :args (@t635 @t580 (@list @t629 @t636))) % 0.53/0.75 (step @p881 :rule cnf_and_pos :args (@t635 1)) % 0.53/0.75 (step @p882 :rule reordering :premises (@p881) :args ((or @t634 (not @t635)))) % 0.53/0.75 (step @p883 :rule chain_m_resolution :premises (@p882 @p880) :args (@t634 @t464 (@list @t635))) % 0.53/0.75 (step @p884 :rule symm :premises (@p883)) % 0.53/0.75 (step @p885 :rule trans :premises (@p884 @p739 @p628)) % 0.53/0.75 (step @p886 :rule trans :premises (@p883 @p885)) % 0.53/0.75 (step @p887 :rule cong :premises (@p886 @p521) :args (@t456)) % 0.53/0.75 (step @p888 :rule trans :premises (@p887 @p520)) % 0.53/0.75 (step @p889 :rule true_elim :premises (@p888)) % 0.53/0.75 (step @p890 :rule cnf_or_pos :args (@t463)) % 0.53/0.75 (step @p891 :rule reordering :premises (@p890) :args ((or @t458 @t462 (not @t463)))) % 0.53/0.75 (step @p892 :rule chain_m_resolution :premises (@p891 @p889 @p422) :args (@t462 @t580 (@list @t456 @t463))) % 0.53/0.75 (step @p893 :rule cnf_and_pos :args (@t462 1)) % 0.53/0.75 (step @p894 :rule reordering :premises (@p893) :args ((or @t461 (not @t462)))) % 0.53/0.75 (step @p895 :rule chain_m_resolution :premises (@p894 @p892) :args (@t461 @t464 (@list @t462))) % 0.53/0.75 (step @p896 :rule symm :premises (@p895)) % 0.53/0.75 (step @p897 :rule instantiate :premises (@p571) :args (@t689)) % 0.53/0.75 (step @p898 :rule refl :args (@t698)) % 0.53/0.75 (step @p899 :rule bool-double-not-elim :args (@t692)) % 0.53/0.75 (step @p900 :rule nary_cong :premises (@p899 @p898) :args ((or (not @t699) @t698))) % 0.53/0.75 (step @p901 :rule refl :args (@t694)) % 0.53/0.75 (step @p902 :rule eq-symm :args (@t693 @t529)) % 0.53/0.75 (step @p903 :rule refl :args (@t690)) % 0.53/0.75 (step @p904 :rule nary_cong :premises (@p903 @p902) :args (@t700)) % 0.53/0.75 (step @p905 :rule refl :args (@t691)) % 0.53/0.75 (step @p906 :rule nary_cong :premises (@p905 @p904) :args (@t701)) % 0.53/0.75 (step @p907 :rule cong :premises (@p906) :args (@t702)) % 0.53/0.75 (step @p908 :rule cong :premises (@p907) :args (@t703)) % 0.53/0.75 (step @p909 :rule nary_cong :premises (@p908 @p901) :args (@t704)) % 0.53/0.75 (step @p910 :rule cong :premises (@p909) :args (@t705)) % 0.53/0.75 (step @p911 :rule refl :args (@t699)) % 0.53/0.75 (step @p912 :rule cong :premises (@p911 @p910) :args ((=> @t699 @t705))) % 0.53/0.75 (assume-push @p1597 @t699) % 0.53/0.75 (step @p914 :rule skolemize :premises (@p897)) % 0.53/0.75 (step-pop @p1598 :rule scope :premises (@p914)) % 0.53/0.75 (step @p915 :rule process_scope :premises (@p1598) :args (@t705)) % 0.53/0.75 (step @p917 :rule eq_resolve :premises (@p915 @p912)) % 0.53/0.75 (step @p918 :rule implies_elim :premises (@p917)) % 0.53/0.75 (step @p919 :rule eq_resolve :premises (@p918 @p900)) % 0.53/0.75 (step @p920 :rule chain_m_resolution :premises (@p919 @p897) :args (@t698 @t392 (@list @t692))) % 0.53/0.75 (step @p921 :rule bool-double-not-elim :args (@t695)) % 0.53/0.75 (step @p922 :rule refl :args (@t697)) % 0.53/0.75 (step @p923 :rule nary_cong :premises (@p922 @p921) :args ((or @t697 (not @t696)))) % 0.53/0.75 (step @p924 :rule cnf_or_neg :args (@t697 0)) % 0.53/0.75 (step @p925 :rule eq_resolve :premises (@p924 @p923)) % 0.53/0.75 (step @p926 :rule reordering :premises (@p925) :args ((or @t695 @t697))) % 0.53/0.75 (step @p927 :rule chain_m_resolution :premises (@p926 @p920) :args (@t695 @t392 (@list @t697))) % 0.53/0.75 (step @p928 :rule instantiate :premises (@p927) :args (@t460)) % 0.53/0.75 (step @p929 :rule bool-double-not-elim :args (@t523)) % 0.53/0.75 (step @p930 :rule nary_cong :premises (@p514 @p929) :args ((or @t527 (not @t524)))) % 0.53/0.75 (step @p931 :rule cnf_or_neg :args (@t527 1)) % 0.53/0.75 (step @p932 :rule eq_resolve :premises (@p931 @p930)) % 0.53/0.75 (step @p933 :rule reordering :premises (@p932) :args ((or @t523 @t527))) % 0.53/0.75 (step @p934 :rule chain_m_resolution :premises (@p933 @p512) :args (@t523 @t392 @t528)) % 0.53/0.75 (step @p935 :rule true_intro :premises (@p934)) % 0.53/0.75 (step @p936 :rule eq-symm :args (@t522 @t346)) % 0.53/0.75 (step @p937 :rule refl :args (@t525)) % 0.53/0.75 (step @p938 :rule nary_cong :premises (@p937 @p936) :args (@t706)) % 0.53/0.75 (step @p939 :rule refl :args (@t526)) % 0.53/0.75 (step @p940 :rule nary_cong :premises (@p939 @p938) :args (@t707)) % 0.53/0.75 (step @p941 :rule cong :premises (@p751 @p940) :args ((=> @t397 @t707))) % 0.53/0.75 (assume-push @p1599 @t397) % 0.53/0.75 (step @p943 :rule instantiate :premises (@p745) :args ((@list @t522))) % 0.53/0.75 (step-pop @p1600 :rule scope :premises (@p943)) % 0.53/0.75 (step @p944 :rule process_scope :premises (@p1600) :args (@t707)) % 0.53/0.75 (step @p946 :rule eq_resolve :premises (@p944 @p941)) % 0.53/0.75 (step @p947 :rule implies_elim :premises (@p946)) % 0.53/0.75 (step @p948 :rule chain_m_resolution :premises (@p947 @p745) :args (@t710 @t464 @t637)) % 0.53/0.75 (step @p949 :rule bool-double-not-elim :args (@t525)) % 0.53/0.75 (step @p950 :rule nary_cong :premises (@p514 @p949) :args ((or @t527 (not @t526)))) % 0.53/0.75 (step @p951 :rule cnf_or_neg :args (@t527 0)) % 0.53/0.75 (step @p952 :rule eq_resolve :premises (@p951 @p950)) % 0.53/0.75 (step @p953 :rule reordering :premises (@p952) :args ((or @t525 @t527))) % 0.53/0.75 (step @p954 :rule chain_m_resolution :premises (@p953 @p512) :args (@t525 @t392 @t528)) % 0.53/0.75 (step @p955 :rule cnf_or_pos :args (@t710)) % 0.53/0.75 (step @p956 :rule reordering :premises (@p955) :args ((or @t526 @t709 (not @t710)))) % 0.53/0.75 (step @p957 :rule chain_m_resolution :premises (@p956 @p954 @p948) :args (@t709 @t580 (@list @t525 @t710))) % 0.53/0.75 (step @p958 :rule cnf_and_pos :args (@t709 1)) % 0.53/0.75 (step @p959 :rule reordering :premises (@p958) :args ((or @t708 (not @t709)))) % 0.53/0.75 (step @p960 :rule chain_m_resolution :premises (@p959 @p957) :args (@t708 @t464 (@list @t709))) % 0.53/0.75 (step @p961 :rule cong :premises (@p698 @p960 @p521) :args (@t711)) % 0.53/0.75 (step @p962 :rule trans :premises (@p961 @p935)) % 0.53/0.75 (step @p963 :rule true_elim :premises (@p962)) % 0.53/0.75 (step @p964 :rule cnf_or_pos :args (@t715)) % 0.53/0.75 (step @p965 :rule reordering :premises (@p964) :args ((or @t714 @t713 (not @t715)))) % 0.53/0.75 (step @p966 :rule chain_m_resolution :premises (@p965 @p963 @p928) :args (@t713 @t580 (@list @t711 @t715))) % 0.53/0.75 (step @p967 :rule cnf_and_pos :args (@t713 1)) % 0.53/0.75 (step @p968 :rule reordering :premises (@p967) :args ((or @t712 (not @t713)))) % 0.53/0.75 (step @p969 :rule chain_m_resolution :premises (@p968 @p966) :args (@t712 @t464 (@list @t713))) % 0.53/0.75 (step @p970 :rule symm :premises (@p969)) % 0.53/0.75 (step @p971 :rule eq-symm :args (@t722 @t693)) % 0.53/0.75 (step @p972 :rule refl :args (@t723)) % 0.53/0.75 (step @p973 :rule nary_cong :premises (@p972 @p971) :args (@t724)) % 0.53/0.75 (step @p974 :rule refl :args (@t725)) % 0.53/0.75 (step @p975 :rule nary_cong :premises (@p974 @p973) :args (@t726)) % 0.53/0.75 (step @p976 :rule refl :args (@t695)) % 0.53/0.75 (step @p977 :rule cong :premises (@p976 @p975) :args ((=> @t695 @t726))) % 0.53/0.75 (assume-push @p1601 @t695) % 0.53/0.75 (step @p979 :rule instantiate :premises (@p927) :args ((@list @t722))) % 0.53/0.75 (step-pop @p1602 :rule scope :premises (@p979)) % 0.53/0.75 (step @p980 :rule process_scope :premises (@p1602) :args (@t726)) % 0.53/0.75 (step @p982 :rule eq_resolve :premises (@p980 @p977)) % 0.53/0.75 (step @p983 :rule implies_elim :premises (@p982)) % 0.53/0.75 (step @p984 :rule chain_m_resolution :premises (@p983 @p927) :args (@t729 @t464 (@list @t695))) % 0.53/0.75 (step @p985 :rule aci_norm :args ((= @t736 (or @t733 @t732 @t731 @t730)))) % 0.53/0.75 (step @p986 :rule cong :premises (@p985) :args (@t737)) % 0.53/0.75 (step @p987 :rule quant-merge-prenex :args ((= (forall @t106 @t738) @t737))) % 0.53/0.75 (step @p988 :rule alpha_equiv :args (@t739 (@list @t716) (@list @t85))) % 0.53/0.75 (step @p989 :rule alpha_equiv :args (@t740 (@list @t718) @t742)) % 0.53/0.75 (step @p990 :rule nary_cong :premises (@p989 @p988) :args (@t743)) % 0.53/0.75 (step @p991 :rule quant-miniscope-or :args ((= @t738 @t743))) % 0.53/0.75 (step @p992 :rule trans :premises (@p991 @p990)) % 0.53/0.75 (step @p993 :rule symm :premises (@p992)) % 0.53/0.75 (step @p994 :rule cong :premises (@p993) :args ((forall @t106 (or @t749 @t744)))) % 0.53/0.75 (step @p995 :rule trans :premises (@p994 @p987)) % 0.53/0.75 (step @p996 :rule trans :premises (@p995 @p986)) % 0.53/0.75 (step @p997 :rule bool-double-not-elim :args (@t744)) % 0.53/0.75 (step @p998 :rule bool-double-not-elim :args (@t749)) % 0.53/0.75 (step @p999 :rule nary_cong :premises (@p998 @p997) :args ((or (not @t751) (not @t750)))) % 0.53/0.75 (step @p1000 :rule bool-and-de-morgan :args (@t751 @t750 true)) % 0.53/0.75 (step @p1001 :rule trans :premises (@p1000 @p999)) % 0.53/0.75 (step @p1002 :rule cong :premises (@p1001) :args (@t753)) % 0.53/0.75 (step @p1003 :rule trans :premises (@p1002 @p996)) % 0.53/0.75 (step @p1004 :rule cong :premises (@p1003) :args (@t754)) % 0.53/0.75 (step @p1005 :rule exists-elim :args ((= (exists @t106 @t752) @t754))) % 0.53/0.75 (step @p1006 :rule trans :premises (@p1005 @p1004)) % 0.53/0.75 (step @p1007 :rule bool-and-de-morgan :args (@t90 @t88 true)) % 0.53/0.75 (step @p1008 :rule cong :premises (@p1007) :args (@t755)) % 0.53/0.75 (step @p1009 :rule cong :premises (@p1008) :args (@t756)) % 0.53/0.75 (step @p1010 :rule exists-elim :args ((= @t93 @t756))) % 0.53/0.75 (step @p1011 :rule trans :premises (@p1010 @p1009)) % 0.53/0.75 (step @p1012 :rule aci_norm :args ((= (or false @t746 @t745) @t747))) % 0.53/0.75 (step @p1013 :rule refl :args (@t745)) % 0.53/0.75 (step @p1014 :rule refl :args (@t746)) % 0.53/0.75 (step @p1015 :rule eq-refl :args (@t89)) % 0.53/0.75 (step @p1016 :rule cong :premises (@p1015) :args (@t757)) % 0.53/0.75 (step @p1017 :rule trans :premises (@p1016 @p42)) % 0.53/0.75 (step @p1018 :rule nary_cong :premises (@p1017 @p1014 @p1013) :args (@t758)) % 0.53/0.75 (step @p1019 :rule trans :premises (@p1018 @p1012)) % 0.53/0.75 (step @p1020 :rule cong :premises (@p1019) :args ((forall @t748 @t758))) % 0.53/0.75 (step @p1021 :rule quant-var-elim-eq :args ((= (forall @t103 (or (not @t95) @t761 @t746 @t759)) @t758))) % 0.53/0.75 (step @p1022 :rule refl :args (@t759)) % 0.53/0.75 (step @p1023 :rule refl :args (@t746)) % 0.53/0.75 (step @p1024 :rule refl :args (@t761)) % 0.53/0.75 (step @p1025 :rule eq-symm :args (@t89 @t94)) % 0.53/0.75 (step @p1026 :rule cong :premises (@p1025) :args (@t761)) % 0.53/0.75 (step @p1027 :rule nary_cong :premises (@p1026 @p1024 @p1023 @p1022) :args (@t762)) % 0.53/0.75 (step @p1028 :rule aci_norm :args ((= @t763 @t762))) % 0.53/0.75 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 0.53/0.75 (step @p1030 :rule cong :premises (@p1029) :args (@t764)) % 0.53/0.75 (step @p1031 :rule trans :premises (@p1030 @p1021)) % 0.53/0.75 (step @p1032 :rule cong :premises (@p1031) :args (@t765)) % 0.53/0.75 (step @p1033 :rule quant-merge-prenex :args ((= @t765 @t766))) % 0.53/0.75 (step @p1034 :rule symm :premises (@p1033)) % 0.53/0.75 (step @p1035 :rule quant_var_reordering :args ((= (forall @t767 @t763) @t766))) % 0.53/0.75 (step @p1036 :rule trans :premises (@p1035 @p1034 @p1032)) % 0.53/0.75 (step @p1037 :rule trans :premises (@p1036 @p1020)) % 0.53/0.75 (step @p1038 :rule aci_norm :args ((= @t769 @t763))) % 0.53/0.75 (step @p1039 :rule cong :premises (@p1038) :args (@t770)) % 0.53/0.75 (step @p1040 :rule trans :premises (@p1039 @p1037)) % 0.53/0.75 (step @p1041 :rule quant-merge-prenex :args ((= (forall @t103 @t771) @t770))) % 0.53/0.75 (step @p1042 :rule alpha_equiv :args (@t772 @t742 (@list @t96))) % 0.53/0.75 (step @p1043 :rule nary_cong :premises (@p1042 @p1024) :args (@t773)) % 0.53/0.75 (step @p1044 :rule quant-miniscope-or :args ((= @t771 @t773))) % 0.53/0.75 (step @p1045 :rule trans :premises (@p1044 @p1043)) % 0.53/0.75 (step @p1046 :rule symm :premises (@p1045)) % 0.53/0.75 (step @p1047 :rule cong :premises (@p1046) :args ((forall @t103 (or @t774 @t761)))) % 0.53/0.75 (step @p1048 :rule trans :premises (@p1047 @p1041)) % 0.53/0.75 (step @p1049 :rule trans :premises (@p1048 @p1040)) % 0.53/0.75 (step @p1050 :rule bool-double-not-elim :args (@t774)) % 0.53/0.75 (step @p1051 :rule nary_cong :premises (@p1050 @p1024) :args ((or (not @t775) @t761))) % 0.53/0.75 (step @p1052 :rule bool-and-de-morgan :args (@t775 @t760 true)) % 0.53/0.75 (step @p1053 :rule trans :premises (@p1052 @p1051)) % 0.53/0.75 (step @p1054 :rule cong :premises (@p1053) :args (@t777)) % 0.53/0.75 (step @p1055 :rule trans :premises (@p1054 @p1049)) % 0.53/0.75 (step @p1056 :rule cong :premises (@p1055) :args (@t778)) % 0.53/0.75 (step @p1057 :rule exists-elim :args ((= (exists @t103 @t776) @t778))) % 0.53/0.75 (step @p1058 :rule trans :premises (@p1057 @p1056)) % 0.53/0.75 (step @p1059 :rule eq-symm :args (@t94 @t89)) % 0.53/0.75 (step @p1060 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 0.53/0.75 (step @p1061 :rule cong :premises (@p1060) :args (@t779)) % 0.53/0.75 (step @p1062 :rule cong :premises (@p1061) :args (@t780)) % 0.53/0.75 (step @p1063 :rule exists-elim :args ((= @t101 @t780))) % 0.53/0.75 (step @p1064 :rule trans :premises (@p1063 @p1062)) % 0.53/0.75 (step @p1065 :rule nary_cong :premises (@p1064 @p1059) :args (@t102)) % 0.53/0.75 (step @p1066 :rule cong :premises (@p1065) :args (@t104)) % 0.53/0.75 (step @p1067 :rule trans :premises (@p1066 @p1058)) % 0.53/0.75 (step @p1068 :rule nary_cong :premises (@p1067 @p1011) :args (@t105)) % 0.53/0.75 (step @p1069 :rule cong :premises (@p1068) :args (@t107)) % 0.53/0.75 (step @p1070 :rule trans :premises (@p1069 @p1006)) % 0.53/0.75 (step @p1071 :rule cong :premises (@p1070) :args (@t108)) % 0.53/0.75 (step @p1072 :rule eq_resolve :premises (@p6 @p1071)) % 0.53/0.75 (step @p1073 :rule instantiate :premises (@p1072) :args (@t689)) % 0.53/0.75 (step @p1074 :rule skolemize :premises (@p1073)) % 0.53/0.75 (step @p1075 :rule bool-double-not-elim :args (@t782)) % 0.53/0.75 (step @p1076 :rule refl :args (@t791)) % 0.53/0.75 (step @p1077 :rule nary_cong :premises (@p1076 @p1075) :args ((or @t791 (not @t785)))) % 0.53/0.75 (step @p1078 :rule cnf_or_neg :args (@t791 2)) % 0.53/0.75 (step @p1079 :rule eq_resolve :premises (@p1078 @p1077)) % 0.53/0.75 (step @p1080 :rule reordering :premises (@p1079) :args ((or @t782 @t791))) % 0.53/0.75 (step @p1081 :rule chain_m_resolution :premises (@p1080 @p1074) :args (@t782 @t392 @t792)) % 0.53/0.75 (step @p1082 :rule true_intro :premises (@p1081)) % 0.53/0.75 (step @p1083 :rule refl :args (@t722)) % 0.53/0.75 (step @p1084 :rule bool-and-de-morgan :args (@t797 @t798 true)) % 0.53/0.75 (step @p1085 :rule cong :premises (@p1084) :args (@t800)) % 0.53/0.75 (step @p1086 :rule cong :premises (@p1085) :args (@t801)) % 0.53/0.75 (step @p1087 :rule exists-elim :args ((= (exists @t58 @t799) @t801))) % 0.53/0.75 (step @p1088 :rule trans :premises (@p1087 @p1086)) % 0.53/0.75 (step @p1089 :rule aci_norm :args ((= (or false @t798) @t798))) % 0.53/0.75 (step @p1090 :rule aci_norm :args ((= (and @t798 true) @t798))) % 0.53/0.75 (step @p1091 :rule eq-refl :args (@t45)) % 0.53/0.75 (step @p1092 :rule refl :args (@t798)) % 0.53/0.75 (step @p1093 :rule nary_cong :premises (@p1092 @p1091) :args (@t803)) % 0.53/0.75 (step @p1094 :rule trans :premises (@p1093 @p1090)) % 0.53/0.75 (step @p1095 :rule cong :premises (@p1091) :args (@t804)) % 0.53/0.75 (step @p1096 :rule trans :premises (@p1095 @p42)) % 0.53/0.75 (step @p1097 :rule nary_cong :premises (@p1096 @p1094) :args (@t805)) % 0.53/0.75 (step @p1098 :rule trans :premises (@p1097 @p1089)) % 0.53/0.75 (step @p1099 :rule quant-var-elim-eq :args ((= (forall @t810 (or (not (= @t806 @t45)) @t809 @t808)) @t805))) % 0.53/0.75 (step @p1100 :rule refl :args (@t808)) % 0.53/0.75 (step @p1101 :rule refl :args (@t809)) % 0.53/0.75 (step @p1102 :rule eq-symm :args (@t45 @t806)) % 0.53/0.75 (step @p1103 :rule cong :premises (@p1102) :args (@t809)) % 0.53/0.75 (step @p1104 :rule nary_cong :premises (@p1103 @p1101 @p1100) :args (@t811)) % 0.53/0.75 (step @p1105 :rule aci_norm :args ((= @t812 @t811))) % 0.53/0.75 (step @p1106 :rule trans :premises (@p1105 @p1104)) % 0.53/0.75 (step @p1107 :rule cong :premises (@p1106) :args (@t813)) % 0.53/0.75 (step @p1108 :rule trans :premises (@p1107 @p1099)) % 0.53/0.75 (step @p1109 :rule trans :premises (@p1108 @p1098)) % 0.53/0.75 (step @p1110 :rule refl :args (@t797)) % 0.53/0.75 (step @p1111 :rule nary_cong :premises (@p1110 @p1109) :args ((and @t797 @t813))) % 0.53/0.75 (step @p1112 :rule alpha_equiv :args (@t818 @t819 (@list @t806))) % 0.53/0.75 (step @p1113 :rule alpha_equiv :args (@t821 @t819 (@list @t793))) % 0.53/0.75 (step @p1114 :rule nary_cong :premises (@p1113 @p1112) :args (@t822)) % 0.53/0.75 (step @p1115 :rule quant-miniscope-and :args ((= (forall @t56 (and @t820 @t817)) @t822))) % 0.53/0.75 (step @p1116 :rule trans :premises (@p1115 @p1114)) % 0.53/0.75 (step @p1117 :rule trans :premises (@p1116 @p1111)) % 0.53/0.75 (step @p1118 :rule bool-or-and-distrib :args (@t53 @t816 true @t815 false)) % 0.53/0.75 (step @p1119 :rule cong :premises (@p1118) :args ((forall @t56 (or (and @t53 @t816) @t815)))) % 0.53/0.75 (step @p1120 :rule trans :premises (@p1119 @p1117)) % 0.53/0.75 (step @p1121 :rule eq-symm :args (@t46 @t45)) % 0.53/0.75 (step @p1122 :rule refl :args (@t50)) % 0.53/0.75 (step @p1123 :rule nary_cong :premises (@p1122 @p1121) :args (@t51)) % 0.53/0.75 (step @p1124 :rule cong :premises (@p1121) :args (@t52)) % 0.53/0.75 (step @p1125 :rule refl :args (@t53)) % 0.53/0.75 (step @p1126 :rule nary_cong :premises (@p1125 @p1124) :args (@t54)) % 0.53/0.75 (step @p1127 :rule nary_cong :premises (@p1126 @p1123) :args (@t55)) % 0.53/0.75 (step @p1128 :rule cong :premises (@p1127) :args (@t57)) % 0.53/0.75 (step @p1129 :rule trans :premises (@p1128 @p1120)) % 0.53/0.75 (step @p1130 :rule cong :premises (@p1129) :args (@t59)) % 0.53/0.75 (step @p1131 :rule trans :premises (@p1130 @p1088)) % 0.53/0.75 (step @p1132 :rule cong :premises (@p1131) :args (@t60)) % 0.53/0.75 (step @p1133 :rule eq_resolve :premises (@p4 @p1132)) % 0.53/0.75 (step @p1134 :rule instantiate :premises (@p1133) :args (@t689)) % 0.53/0.75 (step @p1135 :rule refl :args (@t831)) % 0.53/0.75 (step @p1136 :rule bool-double-not-elim :args (@t825)) % 0.53/0.75 (step @p1137 :rule nary_cong :premises (@p1136 @p1135) :args ((or (not @t832) @t831))) % 0.53/0.75 (step @p1138 :rule refl :args (@t827)) % 0.53/0.75 (step @p1139 :rule eq-symm :args (@t826 @t793)) % 0.53/0.75 (step @p1140 :rule refl :args (@t823)) % 0.53/0.75 (step @p1141 :rule nary_cong :premises (@p1140 @p1139) :args (@t833)) % 0.53/0.75 (step @p1142 :rule refl :args (@t824)) % 0.53/0.75 (step @p1143 :rule nary_cong :premises (@p1142 @p1141) :args (@t834)) % 0.53/0.75 (step @p1144 :rule cong :premises (@p1143) :args (@t835)) % 0.53/0.75 (step @p1145 :rule cong :premises (@p1144) :args (@t836)) % 0.53/0.75 (step @p1146 :rule nary_cong :premises (@p1145 @p1138) :args (@t837)) % 0.53/0.75 (step @p1147 :rule cong :premises (@p1146) :args (@t838)) % 0.53/0.75 (step @p1148 :rule refl :args (@t832)) % 0.53/0.75 (step @p1149 :rule cong :premises (@p1148 @p1147) :args ((=> @t832 @t838))) % 0.53/0.75 (assume-push @p1603 @t832) % 0.53/0.75 (step @p1151 :rule skolemize :premises (@p1134)) % 0.53/0.75 (step-pop @p1604 :rule scope :premises (@p1151)) % 0.53/0.75 (step @p1152 :rule process_scope :premises (@p1604) :args (@t838)) % 0.53/0.75 (step @p1154 :rule eq_resolve :premises (@p1152 @p1149)) % 0.53/0.75 (step @p1155 :rule implies_elim :premises (@p1154)) % 0.53/0.75 (step @p1156 :rule eq_resolve :premises (@p1155 @p1137)) % 0.53/0.75 (step @p1157 :rule chain_m_resolution :premises (@p1156 @p1134) :args (@t831 @t392 (@list @t825))) % 0.53/0.75 (step @p1158 :rule bool-double-not-elim :args (@t828)) % 0.53/0.75 (step @p1159 :rule refl :args (@t830)) % 0.53/0.75 (step @p1160 :rule nary_cong :premises (@p1159 @p1158) :args ((or @t830 (not @t829)))) % 0.53/0.75 (step @p1161 :rule cnf_or_neg :args (@t830 0)) % 0.53/0.75 (step @p1162 :rule eq_resolve :premises (@p1161 @p1160)) % 0.53/0.75 (step @p1163 :rule reordering :premises (@p1162) :args ((or @t828 @t830))) % 0.53/0.75 (step @p1164 :rule chain_m_resolution :premises (@p1163 @p1157) :args (@t828 @t392 (@list @t830))) % 0.53/0.75 (step @p1165 :rule eq-symm :args (@t781 @t826)) % 0.53/0.75 (step @p1166 :rule refl :args (@t783)) % 0.53/0.75 (step @p1167 :rule nary_cong :premises (@p1166 @p1165) :args (@t839)) % 0.53/0.75 (step @p1168 :rule refl :args (@t784)) % 0.53/0.75 (step @p1169 :rule nary_cong :premises (@p1168 @p1167) :args (@t840)) % 0.53/0.75 (step @p1170 :rule refl :args (@t828)) % 0.53/0.75 (step @p1171 :rule cong :premises (@p1170 @p1169) :args ((=> @t828 @t840))) % 0.53/0.75 (assume-push @p1605 @t828) % 0.53/0.75 (step @p1173 :rule instantiate :premises (@p1164) :args ((@list @t781))) % 0.53/0.75 (step-pop @p1606 :rule scope :premises (@p1173)) % 0.53/0.75 (step @p1174 :rule process_scope :premises (@p1606) :args (@t840)) % 0.53/0.75 (step @p1176 :rule eq_resolve :premises (@p1174 @p1171)) % 0.53/0.75 (step @p1177 :rule implies_elim :premises (@p1176)) % 0.53/0.75 (step @p1178 :rule chain_m_resolution :premises (@p1177 @p1164) :args (@t843 @t464 (@list @t828))) % 0.53/0.75 (step @p1179 :rule bool-double-not-elim :args (@t783)) % 0.53/0.75 (step @p1180 :rule nary_cong :premises (@p1076 @p1179) :args ((or @t791 (not @t784)))) % 0.53/0.75 (step @p1181 :rule cnf_or_neg :args (@t791 3)) % 0.53/0.75 (step @p1182 :rule eq_resolve :premises (@p1181 @p1180)) % 0.53/0.75 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t783 @t791))) % 0.53/0.75 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1074) :args (@t783 @t392 @t792)) % 0.53/0.75 (step @p1185 :rule cnf_or_pos :args (@t843)) % 0.53/0.75 (step @p1186 :rule reordering :premises (@p1185) :args ((or @t784 @t842 (not @t843)))) % 0.53/0.75 (step @p1187 :rule chain_m_resolution :premises (@p1186 @p1184 @p1178) :args (@t842 @t580 (@list @t783 @t843))) % 0.53/0.75 (step @p1188 :rule cnf_and_pos :args (@t842 1)) % 0.53/0.75 (step @p1189 :rule reordering :premises (@p1188) :args ((or @t841 (not @t842)))) % 0.53/0.75 (step @p1190 :rule chain_m_resolution :premises (@p1189 @p1187) :args (@t841 @t464 (@list @t842))) % 0.53/0.75 (step @p1191 :rule instantiate :premises (@p1164) :args (@t846)) % 0.53/0.75 (step @p1192 :rule instantiate :premises (@p1072) :args (@t516)) % 0.53/0.75 (step @p1193 :rule skolemize :premises (@p1192)) % 0.53/0.75 (step @p1194 :rule bool-double-not-elim :args (@t848)) % 0.53/0.75 (step @p1195 :rule refl :args (@t857)) % 0.53/0.75 (step @p1196 :rule nary_cong :premises (@p1195 @p1194) :args ((or @t857 (not @t854)))) % 0.53/0.75 (step @p1197 :rule cnf_or_neg :args (@t857 1)) % 0.53/0.75 (step @p1198 :rule eq_resolve :premises (@p1197 @p1196)) % 0.53/0.75 (step @p1199 :rule reordering :premises (@p1198) :args ((or @t848 @t857))) % 0.53/0.75 (step @p1200 :rule chain_m_resolution :premises (@p1199 @p1193) :args (@t848 @t392 @t858)) % 0.53/0.75 (step @p1201 :rule true_intro :premises (@p1200)) % 0.53/0.75 (step @p1202 :rule refl :args (@t845)) % 0.53/0.75 (step @p1203 :rule eq-symm :args (@t847 @t346)) % 0.53/0.75 (step @p1204 :rule refl :args (@t855)) % 0.53/0.75 (step @p1205 :rule nary_cong :premises (@p1204 @p1203) :args (@t859)) % 0.53/0.75 (step @p1206 :rule refl :args (@t856)) % 0.53/0.75 (step @p1207 :rule nary_cong :premises (@p1206 @p1205) :args (@t860)) % 0.53/0.75 (step @p1208 :rule cong :premises (@p751 @p1207) :args ((=> @t397 @t860))) % 0.53/0.75 (assume-push @p1607 @t397) % 0.53/0.75 (step @p1210 :rule instantiate :premises (@p745) :args ((@list @t847))) % 0.53/0.75 (step-pop @p1608 :rule scope :premises (@p1210)) % 0.53/0.75 (step @p1211 :rule process_scope :premises (@p1608) :args (@t860)) % 0.53/0.75 (step @p1213 :rule eq_resolve :premises (@p1211 @p1208)) % 0.53/0.75 (step @p1214 :rule implies_elim :premises (@p1213)) % 0.53/0.75 (step @p1215 :rule chain_m_resolution :premises (@p1214 @p745) :args (@t863 @t464 @t637)) % 0.53/0.75 (step @p1216 :rule bool-double-not-elim :args (@t855)) % 0.53/0.75 (step @p1217 :rule nary_cong :premises (@p1195 @p1216) :args ((or @t857 (not @t856)))) % 0.53/0.75 (step @p1218 :rule cnf_or_neg :args (@t857 0)) % 0.53/0.75 (step @p1219 :rule eq_resolve :premises (@p1218 @p1217)) % 0.53/0.75 (step @p1220 :rule reordering :premises (@p1219) :args ((or @t855 @t857))) % 0.53/0.75 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p1193) :args (@t855 @t392 @t858)) % 0.53/0.75 (step @p1222 :rule cnf_or_pos :args (@t863)) % 0.53/0.75 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t856 @t862 (not @t863)))) % 0.53/0.75 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p1221 @p1215) :args (@t862 @t580 (@list @t855 @t863))) % 0.53/0.75 (step @p1225 :rule cnf_and_pos :args (@t862 1)) % 0.53/0.75 (step @p1226 :rule reordering :premises (@p1225) :args ((or @t861 (not @t862)))) % 0.53/0.75 (step @p1227 :rule chain_m_resolution :premises (@p1226 @p1224) :args (@t861 @t464 (@list @t862))) % 0.53/0.75 (step @p1228 :rule cong :premises (@p698 @p1227 @p1202) :args (@t864)) % 0.53/0.75 (step @p1229 :rule trans :premises (@p1228 @p1201)) % 0.53/0.75 (step @p1230 :rule true_elim :premises (@p1229)) % 0.53/0.75 (step @p1231 :rule cnf_or_pos :args (@t868)) % 0.53/0.75 (step @p1232 :rule reordering :premises (@p1231) :args ((or @t867 @t866 (not @t868)))) % 0.53/0.75 (step @p1233 :rule chain_m_resolution :premises (@p1232 @p1230 @p1191) :args (@t866 @t580 (@list @t864 @t868))) % 0.53/0.75 (step @p1234 :rule cnf_and_pos :args (@t866 1)) % 0.53/0.75 (step @p1235 :rule reordering :premises (@p1234) :args ((or @t865 (not @t866)))) % 0.53/0.75 (step @p1236 :rule chain_m_resolution :premises (@p1235 @p1233) :args (@t865 @t464 (@list @t866))) % 0.53/0.75 (step @p1237 :rule instantiate :premises (@p571) :args ((@list @t339 @t346))) % 0.53/0.75 (step @p1238 :rule refl :args (@t877)) % 0.53/0.75 (step @p1239 :rule bool-double-not-elim :args (@t871)) % 0.53/0.75 (step @p1240 :rule nary_cong :premises (@p1239 @p1238) :args ((or (not @t878) @t877))) % 0.53/0.75 (step @p1241 :rule refl :args (@t873)) % 0.53/0.75 (step @p1242 :rule eq-symm :args (@t872 @t529)) % 0.53/0.75 (step @p1243 :rule refl :args (@t869)) % 0.53/0.75 (step @p1244 :rule nary_cong :premises (@p1243 @p1242) :args (@t879)) % 0.53/0.75 (step @p1245 :rule refl :args (@t870)) % 0.53/0.75 (step @p1246 :rule nary_cong :premises (@p1245 @p1244) :args (@t880)) % 0.53/0.75 (step @p1247 :rule cong :premises (@p1246) :args (@t881)) % 0.53/0.75 (step @p1248 :rule cong :premises (@p1247) :args (@t882)) % 0.53/0.75 (step @p1249 :rule nary_cong :premises (@p1248 @p1241) :args (@t883)) % 0.53/0.75 (step @p1250 :rule cong :premises (@p1249) :args (@t884)) % 0.53/0.75 (step @p1251 :rule refl :args (@t878)) % 0.53/0.75 (step @p1252 :rule cong :premises (@p1251 @p1250) :args ((=> @t878 @t884))) % 0.53/0.75 (assume-push @p1609 @t878) % 0.53/0.75 (step @p1254 :rule skolemize :premises (@p1237)) % 0.53/0.75 (step-pop @p1610 :rule scope :premises (@p1254)) % 0.53/0.75 (step @p1255 :rule process_scope :premises (@p1610) :args (@t884)) % 0.53/0.75 (step @p1257 :rule eq_resolve :premises (@p1255 @p1252)) % 0.53/0.75 (step @p1258 :rule implies_elim :premises (@p1257)) % 0.53/0.75 (step @p1259 :rule eq_resolve :premises (@p1258 @p1240)) % 0.53/0.75 (step @p1260 :rule chain_m_resolution :premises (@p1259 @p1237) :args (@t877 @t392 (@list @t871))) % 0.53/0.75 (step @p1261 :rule bool-double-not-elim :args (@t874)) % 0.53/0.75 (step @p1262 :rule refl :args (@t876)) % 0.53/0.75 (step @p1263 :rule nary_cong :premises (@p1262 @p1261) :args ((or @t876 (not @t875)))) % 0.53/0.75 (step @p1264 :rule cnf_or_neg :args (@t876 0)) % 0.53/0.75 (step @p1265 :rule eq_resolve :premises (@p1264 @p1263)) % 0.53/0.75 (step @p1266 :rule reordering :premises (@p1265) :args ((or @t874 @t876))) % 0.53/0.75 (step @p1267 :rule chain_m_resolution :premises (@p1266 @p1260) :args (@t874 @t392 (@list @t876))) % 0.53/0.75 (step @p1268 :rule eq-symm :args (@t845 @t872)) % 0.53/0.75 (step @p1269 :rule refl :args (@t885)) % 0.53/0.75 (step @p1270 :rule nary_cong :premises (@p1269 @p1268) :args (@t886)) % 0.53/0.75 (step @p1271 :rule refl :args (@t887)) % 0.53/0.75 (step @p1272 :rule nary_cong :premises (@p1271 @p1270) :args (@t888)) % 0.53/0.75 (step @p1273 :rule refl :args (@t874)) % 0.53/0.75 (step @p1274 :rule cong :premises (@p1273 @p1272) :args ((=> @t874 @t888))) % 0.53/0.75 (assume-push @p1611 @t874) % 0.53/0.75 (step @p1276 :rule instantiate :premises (@p1267) :args (@t846)) % 0.53/0.75 (step-pop @p1612 :rule scope :premises (@p1276)) % 0.53/0.75 (step @p1277 :rule process_scope :premises (@p1612) :args (@t888)) % 0.53/0.75 (step @p1279 :rule eq_resolve :premises (@p1277 @p1274)) % 0.53/0.75 (step @p1280 :rule implies_elim :premises (@p1279)) % 0.53/0.75 (step @p1281 :rule chain_m_resolution :premises (@p1280 @p1267) :args (@t891 @t464 (@list @t874))) % 0.53/0.75 (step @p1282 :rule bool-double-not-elim :args (@t852)) % 0.53/0.75 (step @p1283 :rule nary_cong :premises (@p1195 @p1282) :args ((or @t857 (not @t853)))) % 0.53/0.75 (step @p1284 :rule cnf_or_neg :args (@t857 2)) % 0.53/0.75 (step @p1285 :rule eq_resolve :premises (@p1284 @p1283)) % 0.53/0.75 (step @p1286 :rule reordering :premises (@p1285) :args ((or @t852 @t857))) % 0.53/0.75 (step @p1287 :rule chain_m_resolution :premises (@p1286 @p1193) :args (@t852 @t392 @t858)) % 0.53/0.75 (step @p1288 :rule true_intro :premises (@p1287)) % 0.53/0.75 (step @p1289 :rule instantiate :premises (@p1133) :args (@t516)) % 0.53/0.75 (step @p1290 :rule refl :args (@t900)) % 0.53/0.75 (step @p1291 :rule bool-double-not-elim :args (@t894)) % 0.53/0.75 (step @p1292 :rule nary_cong :premises (@p1291 @p1290) :args ((or (not @t901) @t900))) % 0.53/0.75 (step @p1293 :rule refl :args (@t896)) % 0.53/0.75 (step @p1294 :rule eq-symm :args (@t895 @t793)) % 0.53/0.75 (step @p1295 :rule refl :args (@t892)) % 0.53/0.75 (step @p1296 :rule nary_cong :premises (@p1295 @p1294) :args (@t902)) % 0.53/0.75 (step @p1297 :rule refl :args (@t893)) % 0.53/0.75 (step @p1298 :rule nary_cong :premises (@p1297 @p1296) :args (@t903)) % 0.53/0.75 (step @p1299 :rule cong :premises (@p1298) :args (@t904)) % 0.53/0.75 (step @p1300 :rule cong :premises (@p1299) :args (@t905)) % 0.53/0.75 (step @p1301 :rule nary_cong :premises (@p1300 @p1293) :args (@t906)) % 0.53/0.75 (step @p1302 :rule cong :premises (@p1301) :args (@t907)) % 0.53/0.75 (step @p1303 :rule refl :args (@t901)) % 0.53/0.75 (step @p1304 :rule cong :premises (@p1303 @p1302) :args ((=> @t901 @t907))) % 0.53/0.75 (assume-push @p1613 @t901) % 0.53/0.75 (step @p1306 :rule skolemize :premises (@p1289)) % 0.53/0.75 (step-pop @p1614 :rule scope :premises (@p1306)) % 0.53/0.75 (step @p1307 :rule process_scope :premises (@p1614) :args (@t907)) % 0.53/0.75 (step @p1309 :rule eq_resolve :premises (@p1307 @p1304)) % 0.53/0.75 (step @p1310 :rule implies_elim :premises (@p1309)) % 0.53/0.75 (step @p1311 :rule eq_resolve :premises (@p1310 @p1292)) % 0.53/0.75 (step @p1312 :rule chain_m_resolution :premises (@p1311 @p1289) :args (@t900 @t392 (@list @t894))) % 0.53/0.75 (step @p1313 :rule bool-double-not-elim :args (@t897)) % 0.53/0.75 (step @p1314 :rule refl :args (@t899)) % 0.53/0.75 (step @p1315 :rule nary_cong :premises (@p1314 @p1313) :args ((or @t899 (not @t898)))) % 0.53/0.75 (step @p1316 :rule cnf_or_neg :args (@t899 0)) % 0.53/0.75 (step @p1317 :rule eq_resolve :premises (@p1316 @p1315)) % 0.53/0.75 (step @p1318 :rule reordering :premises (@p1317) :args ((or @t897 @t899))) % 0.53/0.75 (step @p1319 :rule chain_m_resolution :premises (@p1318 @p1312) :args (@t897 @t392 (@list @t899))) % 0.53/0.75 (step @p1320 :rule eq-symm :args (@t849 @t895)) % 0.53/0.75 (step @p1321 :rule refl :args (@t850)) % 0.53/0.75 (step @p1322 :rule nary_cong :premises (@p1321 @p1320) :args (@t908)) % 0.53/0.75 (step @p1323 :rule refl :args (@t851)) % 0.53/0.75 (step @p1324 :rule nary_cong :premises (@p1323 @p1322) :args (@t909)) % 0.53/0.75 (step @p1325 :rule refl :args (@t897)) % 0.53/0.75 (step @p1326 :rule cong :premises (@p1325 @p1324) :args ((=> @t897 @t909))) % 0.53/0.75 (assume-push @p1615 @t897) % 0.53/0.75 (step @p1328 :rule instantiate :premises (@p1319) :args ((@list @t849))) % 0.53/0.75 (step-pop @p1616 :rule scope :premises (@p1328)) % 0.53/0.75 (step @p1329 :rule process_scope :premises (@p1616) :args (@t909)) % 0.53/0.75 (step @p1331 :rule eq_resolve :premises (@p1329 @p1326)) % 0.53/0.75 (step @p1332 :rule implies_elim :premises (@p1331)) % 0.53/0.75 (step @p1333 :rule chain_m_resolution :premises (@p1332 @p1319) :args (@t912 @t464 (@list @t897))) % 0.53/0.75 (step @p1334 :rule bool-double-not-elim :args (@t850)) % 0.53/0.75 (step @p1335 :rule nary_cong :premises (@p1195 @p1334) :args ((or @t857 (not @t851)))) % 0.53/0.75 (step @p1336 :rule cnf_or_neg :args (@t857 3)) % 0.53/0.75 (step @p1337 :rule eq_resolve :premises (@p1336 @p1335)) % 0.53/0.75 (step @p1338 :rule reordering :premises (@p1337) :args ((or @t850 @t857))) % 0.53/0.75 (step @p1339 :rule chain_m_resolution :premises (@p1338 @p1193) :args (@t850 @t392 @t858)) % 0.53/0.75 (step @p1340 :rule cnf_or_pos :args (@t912)) % 0.53/0.75 (step @p1341 :rule reordering :premises (@p1340) :args ((or @t851 @t911 (not @t912)))) % 0.53/0.75 (step @p1342 :rule chain_m_resolution :premises (@p1341 @p1339 @p1333) :args (@t911 @t580 (@list @t850 @t912))) % 0.53/0.75 (step @p1343 :rule cnf_and_pos :args (@t911 1)) % 0.53/0.75 (step @p1344 :rule reordering :premises (@p1343) :args ((or @t910 (not @t911)))) % 0.53/0.75 (step @p1345 :rule chain_m_resolution :premises (@p1344 @p1342) :args (@t910 @t464 (@list @t911))) % 0.53/0.75 (step @p1346 :rule instantiate :premises (@p1319) :args (@t918)) % 0.53/0.75 (step @p1347 :rule aci_norm :args ((= @t921 (or @t308 @t914 @t919)))) % 0.53/0.75 (step @p1348 :rule cong :premises (@p1347) :args (@t922)) % 0.53/0.75 (step @p1349 :rule quant-merge-prenex :args ((= (forall @t141 @t924) @t922))) % 0.53/0.75 (step @p1350 :rule refl :args (@t308)) % 0.53/0.75 (step @p1351 :rule alpha_equiv :args (@t925 (@list @t913) (@list @t133))) % 0.53/0.75 (step @p1352 :rule nary_cong :premises (@p1351 @p1350) :args (@t926)) % 0.53/0.75 (step @p1353 :rule quant-miniscope-or :args ((= @t924 @t926))) % 0.53/0.75 (step @p1354 :rule trans :premises (@p1353 @p1352)) % 0.53/0.75 (step @p1355 :rule symm :premises (@p1354)) % 0.53/0.75 (step @p1356 :rule cong :premises (@p1355) :args ((forall @t141 (or @t927 @t308)))) % 0.53/0.75 (step @p1357 :rule trans :premises (@p1356 @p1349)) % 0.53/0.75 (step @p1358 :rule trans :premises (@p1357 @p1348)) % 0.53/0.75 (step @p1359 :rule bool-double-not-elim :args (@t927)) % 0.53/0.75 (step @p1360 :rule nary_cong :premises (@p1359 @p1350) :args ((or (not @t928) @t308))) % 0.53/0.75 (step @p1361 :rule bool-and-de-morgan :args (@t928 @t161 true)) % 0.53/0.75 (step @p1362 :rule trans :premises (@p1361 @p1360)) % 0.53/0.75 (step @p1363 :rule cong :premises (@p1362) :args (@t930)) % 0.53/0.75 (step @p1364 :rule trans :premises (@p1363 @p1358)) % 0.53/0.75 (step @p1365 :rule cong :premises (@p1364) :args (@t931)) % 0.53/0.75 (step @p1366 :rule exists-elim :args ((= (exists @t141 @t929) @t931))) % 0.53/0.75 (step @p1367 :rule trans :premises (@p1366 @p1365)) % 0.53/0.75 (step @p1368 :rule bool-double-not-elim :args (@t161)) % 0.53/0.75 (step @p1369 :rule aci_norm :args ((= (or @t308 false) @t308))) % 0.53/0.75 (step @p1370 :rule eq-refl :args (@t127)) % 0.53/0.75 (step @p1371 :rule cong :premises (@p1370) :args (@t932)) % 0.53/0.75 (step @p1372 :rule trans :premises (@p1371 @p42)) % 0.53/0.75 (step @p1373 :rule refl :args (@t308)) % 0.53/0.75 (step @p1374 :rule nary_cong :premises (@p1373 @p1372) :args (@t933)) % 0.53/0.75 (step @p1375 :rule trans :premises (@p1374 @p1369)) % 0.53/0.75 (step @p1376 :rule quant-var-elim-eq :args ((= (forall @t131 (or (not (= @t126 @t127)) @t935 @t934)) @t933))) % 0.53/0.75 (step @p1377 :rule refl :args (@t934)) % 0.53/0.75 (step @p1378 :rule refl :args (@t935)) % 0.53/0.75 (step @p1379 :rule eq-symm :args (@t127 @t126)) % 0.53/0.75 (step @p1380 :rule cong :premises (@p1379) :args (@t934)) % 0.53/0.75 (step @p1381 :rule nary_cong :premises (@p1380 @p1378 @p1377) :args (@t936)) % 0.53/0.75 (step @p1382 :rule aci_norm :args ((= @t937 @t936))) % 0.53/0.75 (step @p1383 :rule trans :premises (@p1382 @p1381)) % 0.53/0.75 (step @p1384 :rule cong :premises (@p1383) :args ((forall @t131 @t937))) % 0.53/0.75 (step @p1385 :rule trans :premises (@p1384 @p1376)) % 0.53/0.75 (step @p1386 :rule trans :premises (@p1385 @p1375)) % 0.53/0.75 (step @p1387 :rule bool-and-de-morgan :args (@t129 @t128 true)) % 0.53/0.75 (step @p1388 :rule cong :premises (@p1387) :args (@t938)) % 0.53/0.75 (step @p1389 :rule trans :premises (@p1388 @p1386)) % 0.53/0.75 (step @p1390 :rule cong :premises (@p1389) :args (@t939)) % 0.53/0.75 (step @p1391 :rule trans :premises (@p1390 @p1368)) % 0.53/0.75 (step @p1392 :rule exists-elim :args ((= @t132 @t939))) % 0.53/0.75 (step @p1393 :rule trans :premises (@p1392 @p1391)) % 0.53/0.75 (step @p1394 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 0.53/0.75 (step @p1395 :rule cong :premises (@p1394) :args (@t940)) % 0.53/0.75 (step @p1396 :rule cong :premises (@p1395) :args (@t941)) % 0.53/0.75 (step @p1397 :rule exists-elim :args ((= @t139 @t941))) % 0.53/0.75 (step @p1398 :rule trans :premises (@p1397 @p1396)) % 0.53/0.75 (step @p1399 :rule nary_cong :premises (@p1398 @p1393) :args (@t140)) % 0.53/0.75 (step @p1400 :rule cong :premises (@p1399) :args (@t142)) % 0.53/0.75 (step @p1401 :rule trans :premises (@p1400 @p1367)) % 0.53/0.75 (step @p1402 :rule cong :premises (@p1401) :args (@t143)) % 0.53/0.75 (step @p1403 :rule eq_resolve :premises (@p9 @p1402)) % 0.53/0.75 (step @p1404 :rule instantiate :premises (@p1403) :args (@t378)) % 0.53/0.75 (step @p1405 :rule skolemize :premises (@p1404)) % 0.53/0.75 (step @p1406 :rule bool-double-not-elim :args (@t943)) % 0.53/0.75 (step @p1407 :rule refl :args (@t949)) % 0.53/0.75 (step @p1408 :rule nary_cong :premises (@p1407 @p1406) :args ((or @t949 (not @t944)))) % 0.53/0.75 (step @p1409 :rule cnf_or_neg :args (@t949 2)) % 0.53/0.75 (step @p1410 :rule eq_resolve :premises (@p1409 @p1408)) % 0.53/0.75 (step @p1411 :rule reordering :premises (@p1410) :args ((or @t943 @t949))) % 0.53/0.75 (step @p1412 :rule chain_m_resolution :premises (@p1411 @p1405) :args (@t943 @t392 @t950)) % 0.53/0.75 (step @p1413 :rule true_intro :premises (@p1412)) % 0.53/0.75 (step @p1414 :rule refl :args (@t917)) % 0.53/0.75 (step @p1415 :rule eq-symm :args (@t942 @t339)) % 0.53/0.75 (step @p1416 :rule refl :args (@t945)) % 0.53/0.75 (step @p1417 :rule nary_cong :premises (@p1416 @p1415) :args (@t951)) % 0.53/0.75 (step @p1418 :rule refl :args (@t946)) % 0.53/0.75 (step @p1419 :rule nary_cong :premises (@p1418 @p1417) :args (@t952)) % 0.53/0.75 (step @p1420 :rule cong :premises (@p710 @p1419) :args ((=> @t435 @t952))) % 0.53/0.75 (assume-push @p1617 @t435) % 0.53/0.75 (step @p1422 :rule instantiate :premises (@p704) :args ((@list @t942))) % 0.53/0.75 (step-pop @p1618 :rule scope :premises (@p1422)) % 0.53/0.75 (step @p1423 :rule process_scope :premises (@p1618) :args (@t952)) % 0.53/0.75 (step @p1425 :rule eq_resolve :premises (@p1423 @p1420)) % 0.53/0.75 (step @p1426 :rule implies_elim :premises (@p1425)) % 0.53/0.75 (step @p1427 :rule chain_m_resolution :premises (@p1426 @p704) :args (@t955 @t464 @t621)) % 0.53/0.75 (step @p1428 :rule bool-double-not-elim :args (@t945)) % 0.53/0.75 (step @p1429 :rule nary_cong :premises (@p1407 @p1428) :args ((or @t949 (not @t946)))) % 0.53/0.75 (step @p1430 :rule cnf_or_neg :args (@t949 1)) % 0.53/0.75 (step @p1431 :rule eq_resolve :premises (@p1430 @p1429)) % 0.53/0.75 (step @p1432 :rule reordering :premises (@p1431) :args ((or @t945 @t949))) % 0.53/0.75 (step @p1433 :rule chain_m_resolution :premises (@p1432 @p1405) :args (@t945 @t392 @t950)) % 0.53/0.75 (step @p1434 :rule cnf_or_pos :args (@t955)) % 0.53/0.75 (step @p1435 :rule reordering :premises (@p1434) :args ((or @t946 @t954 (not @t955)))) % 0.53/0.75 (step @p1436 :rule chain_m_resolution :premises (@p1435 @p1433 @p1427) :args (@t954 @t580 (@list @t945 @t955))) % 0.53/0.75 (step @p1437 :rule cnf_and_pos :args (@t954 1)) % 0.53/0.75 (step @p1438 :rule reordering :premises (@p1437) :args ((or @t953 (not @t954)))) % 0.53/0.75 (step @p1439 :rule chain_m_resolution :premises (@p1438 @p1436) :args (@t953 @t464 (@list @t954))) % 0.53/0.75 (step @p1440 :rule cong :premises (@p698 @p1439 @p1414) :args (@t956)) % 0.53/0.75 (step @p1441 :rule trans :premises (@p1440 @p1413)) % 0.53/0.75 (step @p1442 :rule true_elim :premises (@p1441)) % 0.53/0.75 (step @p1443 :rule cnf_or_pos :args (@t960)) % 0.53/0.75 (step @p1444 :rule reordering :premises (@p1443) :args ((or @t959 @t958 (not @t960)))) % 0.53/0.75 (step @p1445 :rule chain_m_resolution :premises (@p1444 @p1442 @p1346) :args (@t958 @t580 (@list @t956 @t960))) % 0.53/0.75 (step @p1446 :rule cnf_and_pos :args (@t958 1)) % 0.53/0.75 (step @p1447 :rule reordering :premises (@p1446) :args ((or @t957 (not @t958)))) % 0.53/0.75 (step @p1448 :rule chain_m_resolution :premises (@p1447 @p1445) :args (@t957 @t464 (@list @t958))) % 0.53/0.75 (step @p1449 :rule eq-symm :args (@t917 @t339)) % 0.53/0.75 (step @p1450 :rule refl :args (@t947)) % 0.53/0.75 (step @p1451 :rule nary_cong :premises (@p1450 @p1449) :args (@t961)) % 0.53/0.75 (step @p1452 :rule refl :args (@t948)) % 0.53/0.75 (step @p1453 :rule nary_cong :premises (@p1452 @p1451) :args (@t962)) % 0.53/0.75 (step @p1454 :rule cong :premises (@p710 @p1453) :args ((=> @t435 @t962))) % 0.53/0.75 (assume-push @p1619 @t435) % 0.53/0.75 (step @p1456 :rule instantiate :premises (@p704) :args (@t918)) % 0.53/0.75 (step-pop @p1620 :rule scope :premises (@p1456)) % 0.53/0.75 (step @p1457 :rule process_scope :premises (@p1620) :args (@t962)) % 0.53/0.75 (step @p1459 :rule eq_resolve :premises (@p1457 @p1454)) % 0.53/0.75 (step @p1460 :rule implies_elim :premises (@p1459)) % 0.53/0.75 (step @p1461 :rule chain_m_resolution :premises (@p1460 @p704) :args (@t965 @t464 @t621)) % 0.53/0.75 (step @p1462 :rule bool-double-not-elim :args (@t947)) % 0.53/0.75 (step @p1463 :rule nary_cong :premises (@p1407 @p1462) :args ((or @t949 (not @t948)))) % 0.53/0.75 (step @p1464 :rule cnf_or_neg :args (@t949 0)) % 0.53/0.75 (step @p1465 :rule eq_resolve :premises (@p1464 @p1463)) % 0.53/0.75 (step @p1466 :rule reordering :premises (@p1465) :args ((or @t947 @t949))) % 0.53/0.75 (step @p1467 :rule chain_m_resolution :premises (@p1466 @p1405) :args (@t947 @t392 @t950)) % 0.53/0.75 (step @p1468 :rule cnf_or_pos :args (@t965)) % 0.53/0.75 (step @p1469 :rule reordering :premises (@p1468) :args ((or @t948 @t964 (not @t965)))) % 0.53/0.75 (step @p1470 :rule chain_m_resolution :premises (@p1469 @p1467 @p1461) :args (@t964 @t580 (@list @t947 @t965))) % 0.53/0.75 (step @p1471 :rule cnf_and_pos :args (@t964 1)) % 0.53/0.75 (step @p1472 :rule reordering :premises (@p1471) :args ((or @t963 (not @t964)))) % 0.53/0.75 (step @p1473 :rule chain_m_resolution :premises (@p1472 @p1470) :args (@t963 @t464 (@list @t964))) % 0.53/0.75 (step @p1474 :rule trans :premises (@p1473 @p1448 @p1345)) % 0.53/0.75 (step @p1475 :rule cong :premises (@p1474 @p698 @p1202) :args (@t885)) % 0.53/0.75 (step @p1476 :rule trans :premises (@p1475 @p1288)) % 0.53/0.75 (step @p1477 :rule true_elim :premises (@p1476)) % 0.53/0.75 (step @p1478 :rule cnf_or_pos :args (@t891)) % 0.53/0.75 (step @p1479 :rule reordering :premises (@p1478) :args ((or @t887 @t890 (not @t891)))) % 0.53/0.75 (step @p1480 :rule chain_m_resolution :premises (@p1479 @p1477 @p1281) :args (@t890 @t580 (@list @t885 @t891))) % 0.53/0.75 (step @p1481 :rule cnf_and_pos :args (@t890 1)) % 0.53/0.75 (step @p1482 :rule reordering :premises (@p1481) :args ((or @t889 (not @t890)))) % 0.53/0.75 (step @p1483 :rule chain_m_resolution :premises (@p1482 @p1480) :args (@t889 @t464 (@list @t890))) % 0.53/0.75 (step @p1484 :rule instantiate :premises (@p1267) :args (@t633)) % 0.53/0.75 (step @p1485 :rule bool-double-not-elim :args (@t645)) % 0.53/0.75 (step @p1486 :rule nary_cong :premises (@p763 @p1485) :args ((or @t649 (not @t646)))) % 0.53/0.75 (step @p1487 :rule cnf_or_neg :args (@t649 1)) % 0.53/0.75 (step @p1488 :rule eq_resolve :premises (@p1487 @p1486)) % 0.53/0.75 (step @p1489 :rule reordering :premises (@p1488) :args ((or @t645 @t649))) % 0.53/0.75 (step @p1490 :rule chain_m_resolution :premises (@p1489 @p761) :args (@t645 @t392 @t650)) % 0.53/0.75 (step @p1491 :rule true_intro :premises (@p1490)) % 0.53/0.75 (step @p1492 :rule eq-symm :args (@t644 @t346)) % 0.53/0.75 (step @p1493 :rule refl :args (@t647)) % 0.53/0.75 (step @p1494 :rule nary_cong :premises (@p1493 @p1492) :args (@t966)) % 0.53/0.75 (step @p1495 :rule refl :args (@t648)) % 0.53/0.75 (step @p1496 :rule nary_cong :premises (@p1495 @p1494) :args (@t967)) % 0.53/0.75 (step @p1497 :rule cong :premises (@p751 @p1496) :args ((=> @t397 @t967))) % 0.53/0.75 (assume-push @p1621 @t397) % 0.53/0.75 (step @p1499 :rule instantiate :premises (@p745) :args ((@list @t644))) % 0.53/0.75 (step-pop @p1622 :rule scope :premises (@p1499)) % 0.53/0.75 (step @p1500 :rule process_scope :premises (@p1622) :args (@t967)) % 0.53/0.75 (step @p1502 :rule eq_resolve :premises (@p1500 @p1497)) % 0.53/0.75 (step @p1503 :rule implies_elim :premises (@p1502)) % 0.53/0.75 (step @p1504 :rule chain_m_resolution :premises (@p1503 @p745) :args (@t970 @t464 @t637)) % 0.53/0.75 (step @p1505 :rule bool-double-not-elim :args (@t647)) % 0.53/0.75 (step @p1506 :rule nary_cong :premises (@p763 @p1505) :args ((or @t649 (not @t648)))) % 0.53/0.75 (step @p1507 :rule cnf_or_neg :args (@t649 0)) % 0.53/0.75 (step @p1508 :rule eq_resolve :premises (@p1507 @p1506)) % 0.53/0.75 (step @p1509 :rule reordering :premises (@p1508) :args ((or @t647 @t649))) % 0.53/0.75 (step @p1510 :rule chain_m_resolution :premises (@p1509 @p761) :args (@t647 @t392 @t650)) % 0.53/0.75 (step @p1511 :rule cnf_or_pos :args (@t970)) % 0.53/0.75 (step @p1512 :rule reordering :premises (@p1511) :args ((or @t648 @t969 (not @t970)))) % 0.53/0.75 (step @p1513 :rule chain_m_resolution :premises (@p1512 @p1510 @p1504) :args (@t969 @t580 (@list @t647 @t970))) % 0.53/0.75 (step @p1514 :rule cnf_and_pos :args (@t969 1)) % 0.53/0.75 (step @p1515 :rule reordering :premises (@p1514) :args ((or @t968 (not @t969)))) % 0.53/0.75 (step @p1516 :rule chain_m_resolution :premises (@p1515 @p1513) :args (@t968 @t464 (@list @t969))) % 0.53/0.75 (step @p1517 :rule cong :premises (@p839 @p1516 @p770) :args (@t971)) % 0.53/0.75 (step @p1518 :rule trans :premises (@p1517 @p1491)) % 0.53/0.75 (step @p1519 :rule true_elim :premises (@p1518)) % 0.53/0.75 (step @p1520 :rule cnf_or_pos :args (@t975)) % 0.53/0.75 (step @p1521 :rule reordering :premises (@p1520) :args ((or @t974 @t973 (not @t975)))) % 0.53/0.75 (step @p1522 :rule chain_m_resolution :premises (@p1521 @p1519 @p1484) :args (@t973 @t580 (@list @t971 @t975))) % 0.53/0.75 (step @p1523 :rule cnf_and_pos :args (@t973 1)) % 0.53/0.75 (step @p1524 :rule reordering :premises (@p1523) :args ((or @t972 (not @t973)))) % 0.53/0.75 (step @p1525 :rule chain_m_resolution :premises (@p1524 @p1522) :args (@t972 @t464 (@list @t973))) % 0.53/0.75 (step @p1526 :rule trans :premises (@p883 @p1525 @p1483 @p1236 @p1190)) % 0.53/0.75 (step @p1527 :rule cong :premises (@p1526 @p698 @p1083) :args (@t723)) % 0.53/0.75 (step @p1528 :rule trans :premises (@p1527 @p1082)) % 0.53/0.75 (step @p1529 :rule true_elim :premises (@p1528)) % 0.53/0.75 (step @p1530 :rule cnf_or_pos :args (@t729)) % 0.53/0.75 (step @p1531 :rule reordering :premises (@p1530) :args ((or @t725 @t728 (not @t729)))) % 0.53/0.75 (step @p1532 :rule chain_m_resolution :premises (@p1531 @p1529 @p984) :args (@t728 @t580 (@list @t723 @t729))) % 0.53/0.75 (step @p1533 :rule cnf_and_pos :args (@t728 1)) % 0.53/0.75 (step @p1534 :rule reordering :premises (@p1533) :args ((or @t727 (not @t728)))) % 0.53/0.75 (step @p1535 :rule chain_m_resolution :premises (@p1534 @p1532) :args (@t727 @t464 (@list @t728))) % 0.53/0.75 (step @p1536 :rule symm :premises (@p1535)) % 0.53/0.75 (step @p1537 :rule trans :premises (@p1536 @p970 @p896)) % 0.53/0.75 (step @p1538 :rule eq-symm :args (@t786 @t350)) % 0.53/0.75 (step @p1539 :rule refl :args (@t789)) % 0.53/0.75 (step @p1540 :rule nary_cong :premises (@p1539 @p1538) :args (@t976)) % 0.53/0.75 (step @p1541 :rule refl :args (@t790)) % 0.53/0.75 (step @p1542 :rule nary_cong :premises (@p1541 @p1540) :args (@t977)) % 0.53/0.75 (step @p1543 :rule cong :premises (@p414 @p1542) :args ((=> @t381 @t977))) % 0.53/0.75 (assume-push @p1623 @t381) % 0.53/0.75 (step @p1545 :rule instantiate :premises (@p408) :args ((@list @t786))) % 0.53/0.75 (step-pop @p1624 :rule scope :premises (@p1545)) % 0.53/0.75 (step @p1546 :rule process_scope :premises (@p1624) :args (@t977)) % 0.53/0.75 (step @p1548 :rule eq_resolve :premises (@p1546 @p1543)) % 0.53/0.75 (step @p1549 :rule implies_elim :premises (@p1548)) % 0.53/0.75 (step @p1550 :rule chain_m_resolution :premises (@p1549 @p408) :args (@t980 @t464 @t465)) % 0.53/0.75 (step @p1551 :rule bool-double-not-elim :args (@t789)) % 0.53/0.75 (step @p1552 :rule nary_cong :premises (@p1076 @p1551) :args ((or @t791 (not @t790)))) % 0.53/0.75 (step @p1553 :rule cnf_or_neg :args (@t791 0)) % 0.53/0.75 (step @p1554 :rule eq_resolve :premises (@p1553 @p1552)) % 0.53/0.75 (step @p1555 :rule reordering :premises (@p1554) :args ((or @t789 @t791))) % 0.53/0.75 (step @p1556 :rule chain_m_resolution :premises (@p1555 @p1074) :args (@t789 @t392 @t792)) % 0.53/0.75 (step @p1557 :rule cnf_or_pos :args (@t980)) % 0.53/0.75 (step @p1558 :rule reordering :premises (@p1557) :args ((or @t790 @t979 (not @t980)))) % 0.53/0.75 (step @p1559 :rule chain_m_resolution :premises (@p1558 @p1556 @p1550) :args (@t979 @t580 (@list @t789 @t980))) % 0.53/0.75 (step @p1560 :rule cnf_and_pos :args (@t979 1)) % 0.53/0.75 (step @p1561 :rule reordering :premises (@p1560) :args ((or @t978 (not @t979)))) % 0.53/0.75 (step @p1562 :rule chain_m_resolution :premises (@p1561 @p1559) :args (@t978 @t464 (@list @t979))) % 0.53/0.75 (step @p1563 :rule symm :premises (@p1562)) % 0.53/0.75 (step @p1564 :rule cong :premises (@p698 @p1563 @p1537) :args (@t787)) % 0.53/0.75 (step @p1565 :rule bool-double-not-elim :args (@t787)) % 0.53/0.75 (step @p1566 :rule nary_cong :premises (@p1076 @p1565) :args ((or @t791 (not @t788)))) % 0.53/0.75 (step @p1567 :rule cnf_or_neg :args (@t791 1)) % 0.53/0.75 (step @p1568 :rule eq_resolve :premises (@p1567 @p1566)) % 0.53/0.75 (step @p1569 :rule reordering :premises (@p1568) :args ((or @t787 @t791))) % 0.53/0.75 (step @p1570 :rule chain_m_resolution :premises (@p1569 @p1074) :args (@t787 @t392 @t792)) % 0.53/0.75 (step @p1571 :rule true_intro :premises (@p1570)) % 0.53/0.75 (step @p1572 :rule symm :premises (@p1571)) % 0.53/0.75 (step @p1573 :rule trans :premises (@p1572 @p1564 @p402)) % 0.53/0.75 (step @p1574 false :rule eq_resolve :premises (@p1573 @p14)) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------